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.

Differences Between Troy Movie and Iliad

The differences between the movie â€Å"Troy† and the poem â€Å"Iliad† and the explanation of why they occurred? The film Troy which is directed by Wolfgang Peterson has been deeply influenced by the epic poem, the Iliad. This work is generally credited to the Ancient Greek poet named Homer. Both the film and the poem have the same ending plots, such as the blockade of Troy by the Greeks, the disagreement between the warrior Achilles and the king Agamemnon and these actions started when the prince of Troy Paris who took the wife king Menelaus of Sparta with him.However there are many main differences related to these plots. These differences include some very major characters dying in the Iliad and surviving in the film troy, the time of the death of characters, and the relationships between the characters. Some of the major differences between the film and the poem are:   1. In the Iliad the war took 10 years in the film Troy it only took 17 days. 2. In the Iliad, P atroclus was not the cousin of Achilles, only a friend. 3.There is no mention of the horse in the Iliad. 4. In the poem, Paris is killed, Hector’s baby is killed, and Hector’s wife is the slave of Greek however in the film Troy they escape safely. 5. Agamemnon was killed by his wife, â€Å"Clytemnestra† in the Greece after the war, not by Briseis who kills him in the film. 6. Hector was too scared of Achilles to fight him and he ran away around the walls of troy 3 times. 7. In the movie Agamemnon brought the kings together for this war, which is not true in the Iliad. . In the movie, Briseis is a member of Priam's family but in the poem, she was simply a slave girl. 9. The movie tells that Achilles is so arrogant that he does not respect Apollo and the Iliad tells that Achilles respects the gods and goddesses. 10. The movie hasn’t shown any close relationships between the Greeks and Trojans and their gods and goddesses. The Iliad demonstrates the close in teractions between the gods and goddesses and their followers.The reason of these differences in the film Troy and the Iliad are to convenience of the director and for entertainment. If the film remained same as the poem â€Å"Iliad† then the movie would have received more limited ratings and decrease the amount of the audience. They would earn less money for the publishing company. Director attempted to make the film more likable by making the film a more feel good by letting Paris, Hector’s wife, Hector’s baby, Helen and Briseis escape with citizens of Troy which created an environment of hopes.The film would have appeal to lower amount of people, if Paris, Hector’s wife and baby had been killed. Many people would have feel frustrated by watching everyone dying that’s why the director did not remain true to the Iliad but in the Iliad there is really no hope left for Troy. There is no other reason for these differences except from money and as all the major and small differences are observed, it becomes very obvious that the film was moulded to a modern day audience with modern day expectations of the film.

Human Relations

Human relations is the ongoing development of bringing the workers more into communication and contact with their organization in order to have an effective work environment. Human relations is aimed more for the people and for their treatment in the workplace. In order for human relations to be successful, the manager needs to not deviate from the organizational goals. Human relations however requires participation from both the manager and worker. 3. ) Scientific managers knew very little about human relations.Scientific managers ere intelligent people who used their technical expertise to create an environment that achieved the greatest amount of productivity. Although this method of management was effective in terms of output, there was no humaneness with this process. Scientific managers viewed all workers as production beings rather than human beings. 4. ) Some of the principal findings of the Hawthorne studies was that the productivity of workers was not directly related to th eir physical surroundings, but in fact related to their human relations between one another.When the physical surroundings were changed in the workers work environment, both the control and test groups production increased. Physical changes were shown to not have been the reason for the production increase but rather the improved attitudes of the workers that increased output. These findings were very important as it shows that the human workplace was more of a social environment in which the workplace benefited with having social interaction for both the worker and employer. 6. ) The traditional model is very different than the human resource model. The raditional model is more focused on the company rather than the people.The human resource model implements aspects that are appealing to both employer and employee. In the traditional model, work can be very disliked by most of the employees, managers must supervise their subordinates very closely, and people are expected to tolerat e work of the pay is decent. In the Human resource model, work is enjoyed by the people as they feel that they are contributing their skills in order to reach a company goal. Managers can also create an environment which allows the orkers to use their full ability instead of having to dictate each task step by step as seen in the traditional model. . ) Management of diversity is very important in human relations because it allows the the workplace to advance with its diversity and all potential is maximized and at the same time all disadvantages are minimized. The population of the world is always changing, there will be 129 million more people working in 2050 as there was in 1995. The expected ethnicity changes in the United States claim that there will be almost half the nation's workforce who will be of ethnic race.

Social Influences And Class Structure Affect People s Health

Social influences and class structure affect people’s health. People who live in poverty and are at the bottom of the socioeconomic ladder have worse health than those who have more money. In essence, inequality in society is making people sick. For example, the United States is a country that has very wealthy people along with a staggering amount of poor individuals, yet it is one of the richest countries in the world. It is clear that there is a widening gap of inequality in America, and according to the film Unnatural Causes: Is Inequality Making Us Sick? (2008), the United States spends $2 trillion per year on medical care, but American citizens live shorter, sicker lives than most industrialized countries. But how is this possible? The stresses of every day life for middle and low class citizens greatly contributes to their health issues. According to Williams and Rosenstock, â€Å"differences in income are associated with differences in occupations and work environments , potentially exacerbating the overall effect of income inequality on workers’ health† (2015:616). Basically, those who work in poor conditions and make a lower income, who are clearly unequal to the richer citizens who work under better conditions, are prone to greater health risks. This gap in health between unequal classes is not coincidental. In Williams and Rosenstock’s article, they state that one measure of income inequality is the pay gap between that of a production worker and a company’s CEO andShow MoreRelatedIs Diabetes A Common Disease?1358 Words   |  6 Pages The disease that we mostly discuss that causes illness to people’s health in our society is diabetes. It is believed that 50 percent of people living in Canada have been determined to have diabetes. Diabetes is a common disease that mostly occurs with people who are in old age along with specific group of individuals. Healthcare experts are trying to find ways to improve the healthcare of individuals with diabetes by anticipating ways by providing preventing and treatment measures for patientsRead MoreArgument Essay : The Land Of Opportunity 1146 Words   |  5 PagesOpportunity, which comes from his book Lies My Teacher Told Me. In Loewen s excerpt, he discusses how many of his first time college students answer a very broad question; Why are people poor?( 213). He states that a vast majority of them answer him with half-formed and wide-eyed answers (213). Loewen claims, They have no understanding of the ways that opportunity is not equal in America and no notion that social structure pushes people around, influencing the ideas they hold and the lives they fashionRead MoreSocial Class And Its Relevance1702 Words   |  7 Pagesbeen an ongoing debate about social class and its relevance in contemporary society. Marx’s social class theory was relating to man and his access to the means of production. He stated there are two classes the bourgeo isie, those who own the means of the production and the proletariat who only possess their labour power to sell ( Ollman, 1976). Pakulski and Waters argued that social is dead, due to changes in economic and social structures along with adaptions in social identity and belonging (1996)Read MoreDrug Addiction And Socioeconomic Status1467 Words   |  6 PagesAddiction and Socioeconomic Status Noah Rewis Desert Vista High School Author’s Note This literature review was written for Mrs. Boggs Advanced Composition class Abstract Drug addiction has historically been associated with impoverished minorities. However, in recent years, drug addiction has spiked amongst the suburban middle class. While this is obviously an issue, the reasons behind drug addiction are still not entirely unclear, making responding to addiction crises difficult. The followingRead MoreEvaluating The Effectiveness Of Foreign Aid And The Millennium Development Goals978 Words   |  4 Pagesat times of crisis. Women who are also affected by class status can be greatly limited because of the resources they have. Strategies towards alleviating poverty and types of aid such as multilateral and bilateral aid will be critiqued in this essay. This essay will examine the research question through a social justice perspective. It will help to explain how foreign aid has impacted impoverished countries such as Bangladesh and Nepal. Social justice is a concept that brings to light injusticesRead MoreThe Impact Of Social Stratification On Minorities1195 Words   |  5 Pagesof this class I have learned about social problems within the society in which we live and around the world. It is disturbing to learn that poverty, social inequality, race and cultural discrimination, gender stratification, environmental damage, population growth, and urbanization are among the social problems and controversial issues that still exist in the United States. What is Social Stratification Social stratification is defined as a system by which society ranks categories of people in a hierarchyRead MoreHealth Is Not Determined Solely By Genetics1493 Words   |  6 Pagesof â€Å"medical doctor† typically elicits connections to health, medications, and the extensive field of science. Physicians are individuals to whom people consult when illness strikes and care is needed; however, few associate these doctors with issues thought to be outside the realm of medicine’s teachings, such as politics, social services and economics. Unnatural Causes: Is Inequality Making Us Sick? (2008) highlights the point that good health of their patients, the ultimate goal of any physicianRead MorePoverty Is A Growing Problem Around The World With Millions Of People1267 Words   |  6 PagesPoverty is a growing problem around the world with millions of people lacking the basic elements necessary for stable living and Hamilton is no exception. Nearly one fifth of Hamiltonians li ve below the national poverty line (Social Planning Research Council, 2012). Moreover, one third of all private housings are rentals (or tenant housings), and seven percent of residents live in derelict housing (Social Planning Research Council, 2012). This abundance of poverty is structurally maintained throughRead MoreWhat Is Identity? Who Defines Such, And How Is It Constructed?1570 Words   |  7 Pagesits meaning is not captured by the definition. Identity has a double sense, it can refer to one’s self, a personal identity; but at the same time can also be socially constructed. People have unique identities which may be partly determined by family influences and personal development, but also biological influences such as a sex, ethnicity, age and disability. As far back as 1690 John Locke wrote an essay concerning human understanding, he considered that personal identity was founded on consciousnessRead MorePolitical And Economic Theories And Systems That Influence Community Services Work1399 Words   |  6 Pagesthe political and economic theories and systems that influence community services work. The Commonwealth of Australia is both a representative democracy and a constitutional monarchy with Queen Elizabeth II as Australia s head of state. (How government works, 2016). Since the 1990s globalization has gained widespread currency in Australia on a social, economic, political and cultural level. (Holmes, 2012, p. 340) Laws and politics have an influence on Australia’s economic system, which is capitalism