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S. Aytar

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Author: S. AytarYear: 2019clear all
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6th SWS International Scientific Conference on Social Sciences ISCSS 2019
Publication

CONSUMER SURPLUS OF THE QUADRATIC DEMAND FUNCTION AND PRODUCER SURPLUS OF THE QUADRATIC SUPPLY FUNCTION BY FUZZIFYING POLYGONAL FUZZY NUMBERS AND DEFUZZIFYING GRADED MEAN

(STEF92 Technology, 2019, I. Ozcan, S. Aytar)

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In this paper, we calculate the consumer surplus of the quadratic demand function p=a?bx1?cx12 and the producer surplus of the quadratic supply function p=d?ex1?gx12 where x is a crisp quantity and a, b, c, d, e, g are polygonal fuzzy numbers. Polygonal fuzzy number is generalization of triangular fuzzy number. This type of fuzzy number was introduced by Baez et al. [A.D. Baez-Sanchez, A.C. Moretti, M.A. Rojas-Medar, On polygonal fuzzy sets and numbers, Fuzzy Sets and Systems, 209 (2012) 54-65.]. For a fixed parti...

SOCIAL SCIENCES: Section Economics and Finance2019
6th SWS International Scientific Conference on Social Sciences ISCSS 2019
Publication

FUZZY PROFIT FOR LINEAR DEMAND FUNCTIONS USING POLYGONAL FUZZY NUMBERS

(STEF92 Technology, 2019, I. Ozcan, S. Aytar)

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Let the linear demand function be ??0(??)=??0???0??,0??????0??0, where ??0,??0>0 and ??0(??) is the unit price with respect to the demand quantity ??.Then the revenue function is ??0(??)=??0?????0??2 where 0??????0??0 . Consider the cost function ??0(??)=??0+??0?? where 0???, ??0>0 and 0<??0<??0. Then we obtain profit function as ??0(??)=??0(??)???0(??)=??0?????0??2???0???0?? where 0??????0??0 . Yao and Lin [Yao J.-S., Lin D.-C., Optimal fuzzy profit for price in fuzzy sense, Fuzzy Sets and Systems 111, 455-464 20...

SOCIAL SCIENCES: Section Business and Management2019
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