A New Approach to solve Fuzzy Transportation Problem for Trapezoidal Number
Abstract
In this paper we are study on fuzzy transportation problem for industries to reduce the transportation cost of commodity from one source to another source. In this paper we are taking transportation cost, demand and supply all are in fuzzy trapezoidal number because the fuzzy number satisfy the condition of vagueness. Here we are using the propose algorithm to obtained the fuzzy optimal solution of fuzzy transportation problem with membership function. The solution procedure is illustrated with numerical example.
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Bellman, R E and Zadeh, L A (1970): Decision-making in a fuzzy environment, Management Science, 17, B141-B164.
Chanas, S; Koloziejczyk, W and Machaj, A (1984): A fuzzy approach to the transportation problem, Fuzzy sets and Systems, 13, 211-221.
Chanas, S and Kuchta (1996): A Concept of the optimal solution of the transportation problem with fuzzy cost coefficients, Fuzzy Sets and Systems, 82, 299-305.
Chen, S H and Hsieh, C H (1999): Graded mean integration representation of generalized fuzzy numbers, Journal of Chinese fuzzy systems, 5, 1-7
Dinagar, D. Stephen and Palanival, K (2009): On trapezoidal membership functions in solving transportation problem under fuzzy environment, International Journal of computational physical science, 1(1), 1-12
Gani, A Nagoor and Razak, K Abdul (2006): Two stage fuzzy transportation problem, Journal of Physical Science, 10, 63-69.
Guzel, Nuran (2010): Fuzzy Transportation Problem with the Fuzzy Amount and the Fuzzy Cost, World Applied Science Journal, 8 (5), 543-549.
kaufman, A (1976): Introduction to the Theory of fuzzy sets, Academic Press, Vol I.
Liu, Shiang-Tai and Kao, Chiang (2004): Solving fuzzy transportation problems based on extension principle, European Journal of operational research, 153, 661-674.
Pandian, P and Natarajan, G (2010): A new algorithm for finding a fuzzy optimal solution of fuzzy transportation problem, Applied Mathematics Science, 4 (2), 79-90
Parra, M A; Terol, A B and Uria, M V R (1999): Solving the Multi-objective possibilistic linear programming problem, European Journal of Operational Research, 117, 175-182.
Ritha, W and Vinotha, J Merline (2009): Multi-objective Two stage fuzzy transportation problem, Journal of physical science, 13, 107-120
Verma, R; Biswal, M and Bisawas, A (1997): Fuzzy programming technique to solve multiple objective transportation problems with some nonlinear membership functions, Fuzzy Sets and Systems, 91, 37-43
Zadeh, L A (1978): Fuzzy sets as a basic for a theory of possibility, Fuzzy sets and systems, 1, 3-28.
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