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Journal of Information Science and Engineering, Vol. 21 No. 2, pp. 439-451 (March 2005)

The Optimal Solutiion of the Transportation Problem with Fuzzy Demand and Fuzzy Product

Jershan Chiang
 Department of Applied Mathematics
Chinese Culture University
Taipei, 111 Taiwan

In crisp transportation, trying to fuzzify the amount of supply of the ith origin ai and the amount of demand of the jth destination bj, we use level l fuzzy numbers and level (l, r) interval-valued fuzzy numbers to fuzzify ai and bj in the constraints. We get transportation problem in the fuzzy sense. We also cooperate some statistical concepts and corresponding to (1 - £\) ¡Ñ 100% statistical confidence intervals of the amount of supply and the amount of demand. We use level (1 - b, 1 - £\) interval-valued fuzzy numbers to fuzzify demand and product in the constraints. Then we get transportation problem in the fuzzy sense based on statistical data.

Keywords: fuzzy transportation problem, confidence interval, fuzzy numbers, interval- valued fuzzy sets, fuzzy linear programming

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Received November 4, 2002; revised May 29, 2003; accepted August 8, 2003.
Communicated by Chuen-Tsai Sun.