The optimal solution of the transportation problem with fuzzy demand and fuzzy product

In crisp transportation, trying to fuzzify the amount of supply of the ith origin a(i) and the amount of demand of the jth destination b(j), we use level lambda fuzzy numbers and level (lambda, p) interval-valued fuzzy numbers to fuzzify a(i) and b(j) in the constraints. We get transportation problem in the fuzzy sense. We also cooperate some statistical concepts and corresponding to (1 - alpha) x 100% statistical confidence intervals of the amount of supply and the amount of demand. We use level (1 - beta, 1 - alpha) 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.