Dual Trapezoidal Fuzzy Number and Its Applications

Dual Trapezoidal Fuzzy Number and Its Applications Jon Arockiaraj. J, Pathinathan.T, Revathy.S Abstract: In this paper, we introduce Convergence of ÃŽ ±-Cut. We define at which point the ÃŽ ±-Cut converges to the fuzzy numbers it will be illustrated by example using dual trapezoidal fuzzy number and Some elementary applications on mensuration are numerically illustrated with approximated values. KeyWords: Fuzzy number, ÃŽ ±-Cut, Dual trapezoidal fuzzy number, Defuzzification. Introduction: Fuzzy sets have been introduced by Lotfi. A. Zadeh (1965). Fuzzy numbers were first introduce by Zadeh in 1975.There after theory of fuzzy number was further studied and developed by Dubois and Prade, R.Yager Mizomoto, J.Buckly and Many others. Since then many workers studied the theory of fuzzy numbers and achieved fruitful results. The fuzziness can be represented by different ways one of the most useful representation is membership function. Also depending the nature and shape of the membership function the fuzzy number can be classified in different forms, such as triangular fuzzy number, trapezoidal fuzzy number etc. A fuzzy number is a quantity whose values are imprecise, rather than exact as is the case with single valued number. Fuzzy numbers are used in statistics computer programming, engineering and experimental science. So far fuzzy numbers like triangular fuzzy number, trapezoidal fuzzy numbers, pentagonal, hexagonal, octagonal pyramid and diamond fuzzy numbers have been introduced with its membership functions. These numbers have got many applications like non-linear equations, risk analysis and reliability. In this paper, we introduce Dual trapezoidal fuzzy numbers with its membership functions and its applications. Section one presents the introduction, section two presents the basic definition of fuzzy numbers section three presents Dual trapezoidal fuzzy numbers and its applications and in the final section we give conclusion. 2. Basic Definitions Definition 2.1: (Fuzzy set) A fuzzy set A in a universe of discourse X is defined as the following set of pairs A= {(x,  µA(x)): xX} Here  µA(x) : x is a mapping called the degree of membership function of the fuzzy set A and  µA(x) is called the membership value of xX in the fuzzy set These membership grades are often represented by real numbers ranging from [0, 1]. Definition 2.2: (Fuzzy Number) A fuzzy set A defined on the universal set of real number R is said to be a fuzzy number if its membership function has satisfy the following characteristics. ( i) ÃŽ ¼A (x) is a piecewise continuous (ii) A is convex, i.e.,  µA (ÃŽ ±x1 + (1-ÃŽ ±) x2) ≠¥ min ( µA(x1),  µA(x2)) É  x1 ,x2R É  ÃŽ ±[0,1] (iii) A is normal, i.e., there exist xo R such that  µA (xo)=1 Definition 2.3: (Trapezoidal Fuzzy Number) A trapezoidal fuzzy number represented with four points as A = (a b c d), Where all a, b, c, d are real numbers and its membership function is given below where a≠¤ b≠¤ c≠¤ d  µA(x)= 3. DUAL TRAPEZOIDAL FUZZY NUMBER Definition 3.1: (Dual Trapezoidal Fuzzy Number) A Dual Trapezoidal fuzzy number of a fuzzy set A is defined as ADT= {a, b, c, d (ÃŽ ±)} Where all a, b, c, d are real numbers and its membership function is given below where a≠¤b≠¤c≠¤d  µDT(x) = where ÃŽ ± is the base of the trapezoidal and also for the inverted reflection of the above trapezoidal namely a b c d Figure: Graphical Representation of Dual Trapezoidal fuzzy Number 3.2 DEFUZZIFICATION: Let ADT= (a, b, c, d, à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡) be a dual trapezoidal fuzzy number .The defuzzification value of ADT is an approximate real number. There are many method for defuzzification such as Centroid Method, Mean of Interval Method , Removal Area Method etc. In this Paper We have used Centroid area method for defuzzification . CENTROID OF AREA METHOED: Centroid of area method or centry of gravity method. It obtains the centre of area (X*) occupied by the fuzzy sets.It can be expressed as X* = Defuzzification Value for dual trapezoidal fuzzy number: Let ADT= {a, b, c, d (ÃŽ ±)} be a DTrFN with its membership function  µDT(x) = Using centroid area method +dx+++dx = + + + + + = = = ++ dx+++dx = = = c + d – a b Defuzzification = = = 3.3 APPLICATION In this section. We have discussed the convergence of à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡-cut using the example of dual trapezoidal fuzzy number. CONVERGENCE OF ÃŽ ±-CUT : Let ADT = {a, b, c, d, (à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡) } be a dual trapezoidal fuzzy number whose membership function function is given as  µDT(x) = To find à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡-cut of ADT .We first set à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ [0,1] to both left and right reference functions of ADT. Expressing X in terms of à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ which gives à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡-cut of ADT. à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡= à ¢Ã¢â‚¬ ¡Ã‚ ¨ x l= a+ (b-a) à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡= à ¢Ã¢â‚¬ ¡Ã‚ ¨ x r =d-(d-c) à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ à ¢Ã¢â‚¬ ¡Ã‚ ¨ Aà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡DT= [a+ (b-a) à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡, d-(d-c) à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡] In ordinary to find à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡-cut, we give à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ values as 0 or 0.5 or 1 in the interval [0, 1] .Instead of giving these values for à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡. we divide the interval [0,1] as many continuous subinterval. If we give very small values for à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡, the à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡-cut converges to a fuzzy number [a, d] in the domain of X it will be illustrated by example as given below. Example: ADT = (-6,-4, 3, 6) and its membership function will be  µDT(x) = ÃŽ ±- cut of dual Trapezoidal fuzzy Number à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ = (x l + 6)/2 Xl = 2à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡-6 à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ = (6 xr)/3 Xr = 6-3à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ 2à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡-6, 6-3à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/10 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ = [-5. 8 , 5.7] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/102 then ADT =[-5.98 , 5.97] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/103 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ = [-5.998 , 5.997] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/104 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[-5.9998 , 5.9997] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/105 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[-5.99998 , 5.99997 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/106 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ -5.999998 , 5.999997 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/107 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ -5.9999998 , 5.9999997, ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/108 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ -5.99999998 , 5.99999997 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/109 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ -5.999999998 , 5.999999997] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/1010 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[-6 , 6] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/1011 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[-6 , 6] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/1012 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ =[-6 , 6] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/1013 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ =[-6 , 6 ] †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦..etc When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=1/10n as n →∞ then the à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡-cut converges to ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[-6, 6 ] Figure: Graphical Representation of convergence of à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡-cut When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/10 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡= [ -5.6,5.4 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/102 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡= [ -5.96,5.94 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/103 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ -5.996,5.994 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/104 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ , -5.9996,5.9994 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/105 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ , -5.99996,5.99994 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/106 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ , -5.999996,5.999994 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/107 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[-5.9999996, 5.9999994 , ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/108 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ , -5.99999996,5.99999994 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/109 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ , -5.999999996,5.999999994 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/1010 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ , -6,6 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/1011 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ -6,6 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/1012 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ -6,6 ] When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/1013 then ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ -6,6] †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦etc When à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=2/10n as n →∞ then the à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡-cut converges to ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=[ -6,6 ] Simillarly, à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡=3/10n,4/10n,5/10n,6/10n,7/10n,8/10n,9/10n,10/10n upto these value n varies from 1to ∞ after 11/10n,12/10n†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦..100/10n as n varies from 2 to ∞ and101/10n,102/10n†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. as n varies from 3 to ∞ and the process is goes on like this if we give the value for à °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ it will converges to the dual trapezoidal fuzzy number[-6,6] From the above example we conclude that , In general we have { K/10n} if we give different values for K as n- varies upto to ∞ if we give as n tends to ∞ then the values of ADTà °Ã‚ Ã¢â‚¬ ºÃ¢â‚¬Å¡ converges to the fuzzy number[a,d] in the domain X. 3.4 APPLICATIONS In this section we have numerically solved some elementary problems of mensuration based on arithmetic operation using defuzzified centroid area method 1.Perimeter of Rectangle: Let the length and breadth of a rectangle are two positive dual trapezoidal fuzzy numbers ADT = (10cm, 11cm, 12cm,13cm) and BDT = (4cm, 5cm,6cm,7cm) then perimeter CDT of rectangle is 2[ADT+BDT] Therefore the perimeter of the rectangle is a dual trapezoidal fuzzy number CDT = (28cm, 32cm,36cm,40cm) and its membership functions  µDT(x) = The Perimeter of the rectangle is not less than 28 and not greater than 40 .The perimeter value takes between 32 to 36. Centroid area method: X* = = = = = 34 The approximate value of the perimeter of the rectangle is 34 cm. 2.Length of Rod: Let length of a rod is a positive DTrFN ADT = (10cm,11cm,12cm, 13cm). If the length BDT = (5cm, 6cm , 7cm, 8cm), a DTrFN is cut off from this rod then the remaining length of the rod CDT is [ADT(-)BDT] The remaining length of the rod is a DTrFN CDT = (2cm, 4cm, 6cm, 8cm) and its membership function  µDT(x) = The remaining length of the rod is not less than 2cm and not greater than 8cm.The length of the rod takes the value between 4cm and 6cm. Centroid area method: X* = = = = = 5 The approximate value of the remaining length of the rod is 5cm. 3.Length of a Rectangle: Let the area and breadth of a rectangle are two positive dual trapezoidal fuzzy numbers ADT=(36cm,40cm,44cm,48cm) and BDT=(3cm,4cm,5cm,6cm) then the length CDT of the rectangle is is ADT(:)BDT. Therefore the length of the rectangle is a dual trapezoidal fuzzy number CDT=(6cm,8cm,11cm,16cm) and its membership functions  µDT(x) = The length of the rectangle is not less than 6cm and not greater than 16cm .The length of the rectangle takes the value between 8cm and 11cm. Centroid area method: X * = = = = 10.38 The approximate value of the length of the rectangle is 10.38cm. 4. Area of the Rectangle: Let the length and breadth of a rectangle are two positive dual trapezoidal fuzzy numbers ADT=(3cm,4cm,5cm,6cm) and BDT=(8cm,9cm,10cm,11cm) then the area of rectangle is ADT(.) BDT Therefore the area of the rectangle is a dual trapezoidal fuzzy number CDT= (24cm, 36cm, 50cm, 66cm) and its membership functions  µDT(x) = The area of the rectangle not less than 24 and not greater than 66.The area of the reactangle takes the value between 36 and 50. Centroid area method: X * = = = = 44.167sq.cm 4.CONCLUSION: In this paper, we have worked on DTrFN .We have define the Convergence of ÃŽ ±-Cut to the fuzzy number. We have solved numerically some problems of mensuration based on operations using DTrFN and we have calculated the approximate values. Further DTrFN can be used in various problem of engineering and mathematical science. 5. References [1] Sanhita Banerjee, Tapan Kumar Roy Arithmetic Operations on Generalized Trapezoidal Fuzzy Number and its Applications TJFS: Turkish Journal of Fuzzy Systems (eISSN: 1309–1190) An Official Journal of Turkish Fuzzy Systems Association Vol.3, No.1, pp. 16-44, 2012. [2] Bansal. A., (2010), some non- linear arithmetic operations on triangular fuzzy number (m, ÃŽ ±, ÃŽ ²), Advances in Fuzzy Mathematics, 5,147-156. [3] G. J. Klir, Bo Yuan, Fuzzy Sets and Fuzzy logic, Prentice Hall of India Private Limited, (2005). [4] C. Parvathi, C. Malathi, Arithmetic operations on Symmetric Trapezoidal Intuitionistic Fuzzy Numbers, International Journal of Soft Computing and Engineering, 2 (2012) ISSN: 2231-2307. [5] T. Pathinathan, K. Ponnivalavan, Pentagonal fuzzy numbers, International journal of computing algorithm, 3 (2014) ISSN: 2278-2397. [6] Bansal Abhinav, Trapezoidal Fuzzy Numbers (a, b, c, d); Arithmetic Behavior, International Journal of Physical Mathematical Sciences, ISSN: 2010-1791. [7] T. Pathinathan, K. Ponnivalavan, Diamond fuzzy numbers, International scientific Publications and consulting services journal of fuzzy set valued analysis http://www.ispacs.com/journals/jfsva/2014/jfsva-00220 [8] D. Dubois, H. Prade, Operations on Fuzzy Numbers, International Journal of Systems Science, 9 (6) (1978) 613-626. http://dx.doi.org/10.1080/00207727808941724.

Comparing Glycemic Responses to Low-Carbohydrate and High-Carbohydrate

Comparing Glycemic Responses to Low-Carbohydrate and High-Carbohydrate Energy Bars The Atkins Advantage Bar and the Power Bar are two energy bars containing differing amounts of carbohydrate. Both bars were studied in order to compare their effects on glycemia in the body. Steven R. Hertzler and Yeonsoo Kim investigated these bars in comparison with two controls, chicken breast and white bread, because these two foods also have divergent carbohydrate contents. To perform their study, the researchers recorded plasma glucose responses to 60-gram portions of all of these test foods. This study demonstrates the correlation between the carbohydrate composition of the Atkins Advantage Bar and the Power Bar, and the effects that this has on glycemia. The Atkins Advantage Bar is a low-carbohydrate energy bar that is part of the Atkins Diet plan. This snack food fits into the low-carbohydrate, high-protein weight loss program. Its purpose is to replenish the energy lost when one removes carbohydrates from his/ her diet in attempts to lose weight. In this particular study, the Atkins Advantage Bar served as the low-carbohydrate bar, which had the closest macronutrient composition to the chicken breast control (zero carbohydrates). One serving of this energy bar contains 2.6 grams or less of carbohydrates. Participants of this study who were fed the 60-gram portions of the Atkins Advantage energy bar experienced predictable glycemic responses, as a result of the low amount of carbohydrate that this bar contains. These participants produced the lowest glycemic responses in the study. Consumption of his energy bar reduced glycemia by 71%, as compared with the white bread control. The results of this study did not surprise Hertzler an. .. ...trated that energy bars that contain divergent amounts of carbohydrate produce different results. The low-carbohydrate energy bar, the Atkins Advantage Bar, produced the lowest glycemic responses, thus reducing glycemia. On the end of the spectrum, the high-carbohydrate Power Bar produced the highest glycemic responses, which increased glycemia. The differing glycemic responses of these two energy bars make sense because each bar has been developed to fulfill a different purpose. The Atkins Advantage Bar is a snack food that fits into a low-carbohydrate diet; therefore, its goal is to promote weight loss. On the other hand, the Power Bar is an energy bar that mainly fits into an exercise plan; and its goal is to replenish glycogen in the muscles. These two energy bars affect the body’s glycemic levels differently because they were formulated for different purposes.

Parkinsons Disease Essay -- Medical Medical Medicine Essays Treatment

Parkinson's Disease Parkinson’s Disease (PD), "the shaking palsy" first described by James Parkinson in 1817, is a progressive neurodegenerative disorder which affects in upwards of 1.5 million Americans. The disease begins to occur around age 40 and has incidence with patient age. One survey found that PD may affect 1% of the population over 60. Incidence seems to be more prominent in men, and tends to progress to incapacity and death over one or two decades. Clinical diagnosis of PD is currently solely dependent on the presentation of the symptoms by the patient which reflect a deficiency of striatal dopamine caused by the destruction of the cells in the substantia nigra. Imaging and other laboratory techniques can be used to rule out other disorders, but are not necessary for the actual diagnosis of PD. The first sign of PA is usually bradykinesia. Movements are usually quite slow. Routine activities may require deliberate planning and thought for execution. Difficulty initiating movements or akinesia, may also be present. Rigidity in the flexors is also present. This is due to an exaggerated response to normal proprioceptive return from the somatic musculature. A resting tremor of 3-6 Hz is also a prominent feature of PD. This may cause difficulties in handwriting as a symptom. Impaired postural reflexes is also a presenting feature in PD. Patients can easily lose their balance when pushed slightly, and may need to be caught to keep fr om falling. These signs can be tested by observing the patients walking, getting out of deep chairs, and performing rapid repetitive movements. Increased disturbances in cognitive abilities can also show evidence of PD. Even with all these signs of PD, it may be present and undiagnosed f... ...ly researched today. Hopefully, the disease will soon be able to be diagnosed early enough that its progression can be stopped and be cured. With current research and development, this day may soon come. Works Cited: Jenner, P. Clues to the mechanism underlying dopamine cell death -in Parkinson’s disease. Journal of Neurology’ Neurosurqerv, and Psychiatry (1989): 22-28. Korczyr., A. D. Autonomic Nervous System Disturbances in Parkinson’s Disease. Advances in Neurology, 53 (1990): 463-68. Kingston, J. W. Current theories on the cause of Parkinson’s disease. Journal of Neurology, Neurosurgery, and Psvchiatry, (l989): 13-17. Langston, J. W. and W. C. Koller. The next frontier: Presymptomatic detection. Geriatrics, Aug. 1991: 5-7. Paulson, G. W. Management of the patient with newly -diagnosed Parkinson’s disease. Geriatrics, Feb. 1993: 30-40. Parkinson's Disease Essay -- Medical Medical Medicine Essays Treatment Parkinson's Disease Parkinson’s Disease (PD), "the shaking palsy" first described by James Parkinson in 1817, is a progressive neurodegenerative disorder which affects in upwards of 1.5 million Americans. The disease begins to occur around age 40 and has incidence with patient age. One survey found that PD may affect 1% of the population over 60. Incidence seems to be more prominent in men, and tends to progress to incapacity and death over one or two decades. Clinical diagnosis of PD is currently solely dependent on the presentation of the symptoms by the patient which reflect a deficiency of striatal dopamine caused by the destruction of the cells in the substantia nigra. Imaging and other laboratory techniques can be used to rule out other disorders, but are not necessary for the actual diagnosis of PD. The first sign of PA is usually bradykinesia. Movements are usually quite slow. Routine activities may require deliberate planning and thought for execution. Difficulty initiating movements or akinesia, may also be present. Rigidity in the flexors is also present. This is due to an exaggerated response to normal proprioceptive return from the somatic musculature. A resting tremor of 3-6 Hz is also a prominent feature of PD. This may cause difficulties in handwriting as a symptom. Impaired postural reflexes is also a presenting feature in PD. Patients can easily lose their balance when pushed slightly, and may need to be caught to keep fr om falling. These signs can be tested by observing the patients walking, getting out of deep chairs, and performing rapid repetitive movements. Increased disturbances in cognitive abilities can also show evidence of PD. Even with all these signs of PD, it may be present and undiagnosed f... ...ly researched today. Hopefully, the disease will soon be able to be diagnosed early enough that its progression can be stopped and be cured. With current research and development, this day may soon come. Works Cited: Jenner, P. Clues to the mechanism underlying dopamine cell death -in Parkinson’s disease. Journal of Neurology’ Neurosurqerv, and Psychiatry (1989): 22-28. Korczyr., A. D. Autonomic Nervous System Disturbances in Parkinson’s Disease. Advances in Neurology, 53 (1990): 463-68. Kingston, J. W. Current theories on the cause of Parkinson’s disease. Journal of Neurology, Neurosurgery, and Psvchiatry, (l989): 13-17. Langston, J. W. and W. C. Koller. The next frontier: Presymptomatic detection. Geriatrics, Aug. 1991: 5-7. Paulson, G. W. Management of the patient with newly -diagnosed Parkinson’s disease. Geriatrics, Feb. 1993: 30-40.

The Hunchback of Notre-Dame Essay -- essays research papers

In this novel The Hunchback of Notre-Dame (1831), Victor Hugo talks about the life of his characters in the city of Paris. This story takes place in the late-fourteenth century. With inequality all around it was hard for a person to gain respect without good looks or social status. In this paper I will mainly discuss the story of Quasimodoe Esmeralda, and their struggle in this story Quasimodoe`s mother was a gypsy. She could not take care of him any longer so she left him in front of a church. Gypsies were not liked at this time, but the church was highly respected. Being it that Quasimodo`s mom had left him on front steps of the church the king could do almost nothing. Quasimodoe could not leave the church due to the fact that he was deformed and ugly. Quasimodo grew very lonely and bored up in that bell tower all by him self. He was looking down one day and set eyes upon a young woman named Esmerelda. On the day of fools Quasimodo saw this young lady and decided to go do! wn and take a closer look at this woman. It was a holiday, feast of fools, when he decided to go down. When the people saw him they were horrified. He got whipped and lectured by his master. Well, to make a long story short Esmerelda ends up dyeing, and Quaismodo runs away and is never seen or heard of again. They state that in the end they find two skeletons lying in each others arms. One the body of a lady (Esmerelda), and the other the body of a man who was deformed (Quaismodo). It also states that th...

Plans for Recruitment and Retention

There are many major challenges facing the nursing shortage environment today. One of those challenges includes the facility recruitment of registered nurses and then the facility retention of the registered nurses that they have recruited. Factors to consider would be as to why a registered nurse chose to accept a particular job and will they choose to stay at the facility after being given an employment opportunity. A facility’s reputation, union status, autonomy and salary are among some of the factors that influence recruitment.Factors that influence retention includes the inclusion in decision making, practice autonomy, workers, work load, management’s respect of the workers, and shifts worked. It is expensive for any facility to recruit a registered nurse. According to a recent study by CB Jones, it costs between $62,100 and $67,100 to replace one registered nurse. (Jones, 2005) The cost of human turnover and subsequent recruiting often is not discussed. When ther e is a nurse vacancy, that particular nurses’ workload has to be incorporated into the workload of another nurse. The nurse or nurses that take on the workload are not necessarily going to be paid more.It’s a grin and bear it type of situation where everyone has to work together as a team. When a new nurse has finally been recruited, they have to go through an extensive orientation for the culture of the particular unit they are assigned to. Then retention comes into place. Now we have the new nurse in place, how do we go about keeping her? Retention can also be a major challenge for a facility. So how do we recruit and retain these nursing staffs? Define the Problem It has been projected that the U. S. will experience an intensified shortage of registered nurses as the baby boomers age and the need for health care grows.(AACN, 2012) To add intensity to the problem, the nursing schools are struggling with recruiting students to meet the demand for this new healthcare r eform that arising. This has become a major healthcare concern. Between 2009 and 2030, it is projected that the shortage of nurses will spread across the country most intensely in the South and the West according to the â€Å"United States Registered Nurse Workforce Report Card and Shortage Forecast. † (AJMQ 2012) The American Association of Colleges of Nursing (AACN) is currently working with nursing organizations, policy makers, the media, and various schools to address this growing concern.Literature Review The fact is that there is definitely a shortage of nurses, and the numbers are going to grow in the years forthcoming. The statistics on the shortage are constantly changing. The Bureau of Labor Statistics states that registered nurses make up approximately 2. 6 million of the U. S. jobs. These jobs are in arenas such as hospitals, doctor’s offices, home health services, nursing care facilities, employment services, and government and social assistance agencies/e ducational services. That number is expected to grow to approximately 3. 2 million by the year 2018.In the year 2010, the United States faced a shortage of about 275,000 nurses. It is projected that by 2015 that number will have grown to approximately 500,ooo, and 800,000 by 2020. As the population gets older, more nurses are expected to retire. There are many reasons given for the shortage of nurses ranging from the demographics of the population, the employment patterns of women, nursing work, and the health care system itself. Some of those reasons include: Increased demand as the population ages. Eighteen percent growth overall and 54 percent growth overall for those with more health care needs. Other career options.There is a range of other career opportunities that are being considered, especially for those born after the 1950s. Work environment and workload. Hospitals have reduced their staffing and mandatory overtime policies have been implemented for the registered nurses t o ensure coverage for the unexpected increase of patients. Image. The media diverts the attention of the young adults who may be interested in nursing by focusing on the challenges that nurse’s face rather than the aspects of the career that are rewarding. Problem Analysis With a shortage of nurses, the care and safety of patients may becomecompromised. The nurses themselves may be having feelings of dissatisfaction, overwhelm and distress. Nurses who may become overwhelmed with the high number of patients may become frustrated and burnt out. And inadequate staff of nurses may lead to a negative impact on the patient’s outcome. The quality of care the patients may receive in facilities with low staffing may be poor. There are a number of factors that contribute to the impact of the nursing shortage. Low nursing school enrollment. The projected demand for nursing services is not being met with the low enrollment.In 2011, the AACN reported there was only a 5. 1% increase in enrollment in entry-level nursing programs. Faculty shortage in nursing schools. With not enough faculty teaching in the nursing schools, it restricts the number of program enrollments. Nursing schools turned away 75,587 qualified applicants from their baccalaureate and graduate programs in 2011 because of insufficient staffing, classroom space, budget constraints, clinical sites and clinical preceptors according to a report issued by the AACN. The average age of nurses is climbing. The average age of nurses reported in 2012 was 44. 5 years of age.The largest segment of the nursing workforce is expected to be nurses in their 50s. Changing demographics. As the baby boomers get older, their health care needs are expanding, which will impact the future demand for more nurses. Elevated stress levels. With the insufficient staffing, the current nurses are overwhelmed with responsibilities, therefore, resulting in high stress levels, poor job satisfaction, and no motivation to stay on the job. This also limits the amount of time that the nurses can spend with the patients and impacts the quality of care given to the patients. Possible SolutionsEncouragement is needed for the deployment and development of the nursing personnel with the appropriate skills. Regardless of the pressures that relate to the short-term demand for nursing services, there must be ongoing long-term workforce planning by the policy makers, public and the profession. Measures must be put in place to reverse these trends; otherwise, we are in danger of experiencing some serious health care system breakdowns. It is costly to develop strategies for recruiting and retaining nurse personnel. The Tri-Council members of The American Association of Colleges of Nursing (AACN), The American Nurses Association (ANA), TheAmerican Organization of Nurse Executives (AONE), and The National League for Nursing (NLN) suggested the following recommendations: Education Develop career progression initiatives to accelerate the nursing graduates through their studies; Identify available options beyond entry-level such as administrator, researcher or faculty; Establish a system of education and practice to promote more compensation in the community of health care; Assist health care employers in creating and sustaining staff development programs and continuous growth; Use counselors, schools, and youth organizations to reach out to the youth for future possibilities.Work Environment Retaining the experienced nurses by implementing strategies such as: Allowing for more flexibility; Give recognition to the experienced nurses who serve as mentors for the new nurses; Implement appropriate salary and benefit programs. Advance the practice of nursing by creating a partnership environment: Establish appropriate management structures; Ensuring adequate nurse staffing; Offering the nurses independency. Redesign the work to enable the current nurses who are aging to stay active in their direct care rol es. Legislation and RegulationSuggest an increase in the funding of nurse education for improving the capacity and resources for education; Within Medicaid, Medicare and other systems of reimbursement, propose for better identification for the registered nursing services. The National Student Nurses’ Association has a nursing breakthrough project that I think is a great tool that informs juniors and seniors in high school about the nursing opportunities that are available. To attract the attention of these students, they use tools such as live videos and pamphlets.The videos show other high school students who have taken an interest and made a decision to enter into the nursing world. They tell their testimonies about the values of the profession and the reason they chose to go into nursing. The pamphlets explain what nursing is, how to apply to nursing school, what nursing school is actually like, the paths of education to becoming a nurse, the salary, benefits and license r equirements, and then lists other resources where information about nursing is available.These recommendations are going to take the work of many people and organizations coming together and supporting one another. One specific institute cannot implement all that is needed alone. Team work will be become very important. Strategies for retaining the nursing workforce are also needed. Implementing policies that will rebuild the nursing leadership roles will be necessary. Higher satisfaction and better patient care may also be gained by involving the nurses in the design of the staff and overtime policies.Policies that improve the overall hospital or facility work environment are among the most important considerations. Justification The nursing shortage of today is very real and very different from anything in the past. The shortage is evident by the few nurses that are entering the workforce. There is an acute shortage of nurses in certain geographic areas, and there is a shortage of nurses who are properly trained or prepared to work in certain areas to meet the needs of the patients in this changing healthcare environment.The growing realization is that there is inadequate supply of prepared nurses to meet the needs and demands of the population requiring health care attention. This problem will become more serious over the next 20 years if something is not done. The largest number of health care professionals is currently comprised of nurses. Within the nursing profession, statistics indicate that there has been a steady increase in nurses who are entering the profession. The problem still lies in retaining them in the profession. Much work is still needed and will be ongoing now and well into the future.

PBS Frontline Essay “Rape in the Fields”

he PBS Frontline documentary â€Å"Rape in the Fields† reveals the gross atrocities of human rights violations against undocumented immigrant women throughout America’s vast farmlands. The group consists of a half-million female workers. Culturally they are from a male dominated society that migrates to the U. S. for economic opportunity. These women are underprivileged workers without access to learn English. They are unaware of American laws that protect persons from violence and crime. They are very afraid and focused on basic survival instincts.Because they are in this country illegally, they are afraid of being deported and lose their income. Fear keeps them from speaking out and uniting to make changes in their work environment. The story of Olivia Tamayo who worked for Harris Farms for approximately six years is only one example of cases featured in the documentary. Her supervisor Rene Rodriquez raped Olivia Tamayo three times at gunpoint. Her voice was shaky in the interview when she recalled her ordeal, â€Å"He said I was his, and that he would never leave me in peace.†She tried to defend herself from her boss. She remained silent until she reported her case to a Rape Crisis Center. Human Services workers reported the abuse to the EEOC. Then the EEOC contacted the law firm of Smith and Johnson who took the case of Ms. Tamayo. Attorney Willie Smith was successful in winning a lawsuit that awarded her a damage settlement. However, the CEO Mr. John Harris sides with his Supervisor and denied the rape occurred.It took teamwork from the report by the Rape Crisis Center and working within a network of other services to bring a small amount of justice to her unjust treatment. It was in 1995 that Bill Tamayo from the EEOC brought attention to the plight of women raped in the fields by supervisors and coworkers. These deplorable acts have been taking place for generations by not uniting and rising up the women remained in a disadvantaged s ituation. The U. S. enacted EEOC laws in 1964 to protect workers from all forms of sexual harassment.The EEOC forced a 1. 3 million dollar lawsuit settlement with DeCoster. Fourteen women workers with Evans Fruit testified of sexual assault in their Apple orchards, but they lost their case. The United States economy is dependent on illegal immigrants to harvest our vegetables, fruits, nuts, and eggs. Our government needs to implement policies to protect all workers documented or undocumented against crimes of violence, sexual harassment, and abuse. The U-Visa is a small stepping-stone in the right direction.

Bloom Research and Response Paper Essay

Larkin and Burton’s abstract preface the Joint Commission’s directive for effective communication among caregivers during handoff to ensure patient safety (Larkin & Burton, 2008, p. 360). The case study reviews the lack of handoff practice and its effect on continuum of care provided to â€Å"Ms. C, a 64-year-old woman, presented to the ambulatory surgery center for an open cholecystectomy† (p. 390), and the subsequent workshop utilizing Bloom’s Taxonomy of Education Objectives to educate and change clinical practice among the staff members. From this reader’s vantage Ms. C’s respiratory de-compensation was a result of the nurses’ failure to communicate patients medical history and critical findings during unit-to-unit transfer and shift report, inadequate nurse to patient ratio along with incomplete charting, failure to recognize early signs and symptoms of respiratory compromise, and lack of critical thinking skills. Evidenced by the case study’s assertions, Ms. C required oxygen in the post anesthesia care unit (PACU) but was transferred without it. Second, the PACU nurse did not communicate to the patient’s need for oxygen to the receiving nurse during handoff report. It is unclear if the surgeon wrote vital sign parameters and pulmonary toilet orders, or if there were standard protocols for this post operative unit. Ms. C’s incomplete graphic record indicate she was placed on four liters of oxygen within two hours of her arrival to the unit at 1630; however, fail to adequately trend abnormal vital signs such as low grade temperature and tachycardia (Larkin & Burton, 2008, p. 392). The record does not document any nurse-initiated interventions or call to the doctor requesting a chest x-ray or recommending a respiratory therapy consult for breathing treatment and incentive spirometer. On post-op day two Ms. C’s respiratory status declined requiring a non-rebreather mask, rapid response team consult, and a transfer to the intensive care unit for a diagnosis of respiratory distress (p. 392). There were multiply factors that contributed to the above scenario; Larkin and Burton writes that â€Å"after this near-miss, failure to rescue incident† (p. 94) a task force consisting of management, clinical nurse specialist (CNS) and unit educator convened to discuss the event. The task force concluded that the nursing staff members were ineffectual in critically evaluating the patient’s signs and symptoms. The CNS chose a framework that utilized â€Å"Bloom’s Taxonomy of Educational Objectives†, that provided measurable outcomes to the ed ucational activity and enabled the nursing team to optimize their critical skill levels. A workshop to assist staff to navigate through the case study in a realistic manner was implemented (Larkin & Burton, 2008, p. 95). The cognitive domain contains six intellectual skills that measure: knowledge, comprehension, application, analysis, synthesis, and evaluation of information received. The affective domain contains five emotional factors: receiving, responding, valuing, organizing, also conceptualizing and characterizing by value concept. It is during this phase that individual buy-in occurs or not. Finally, the psychomotor domain contains five motor skills functions of imitation, manipulation, precision, articulation, and naturalization. The individual learn to adapt his or her movements intuitively to a given situation (Larkin & Burton, 2008, p. 395). The key component of continued nursing education is to advance and apply evidenced based practice at the bedside. The use of Bloom’s Taxonomy of Educational Objectives as the framework promote the transfer of evidence based information, in a setting that allow the nurse educators to evaluate and measure the learner’s: cognitive, affective and psychomotor processes. It allows the learner (nurse) to assess his or her level of application within each domain. Both the educator and the nurse can reinforce successes and target learning opportunities to areas of inefficiency. References Blais, K. K. , & Hayes, J. S. (2011). Professional Nursing Practice Concepts and Perspective (6th ed. ). Upper Saddle River, NJ: Pearson. Bouchard, G. J. (2011, November). In Full Bloom: Helping Students Grow Using the Taxonomy of Educational Objectives. The Journal of Physican Assistance Education, 22(4), 44-46. Larkin, B. G. , & Burton, K. J. (2008, September). Evaluating a Case Study Using Blooms Taxonomy of Education. AORN, 88(3), 390-402.