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Fully fuzzy solid transportation problems with k-scale trapezoidal fuzzy numbers
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Babak Khabiri *   , Majid Iranmanesh |
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Abstract: (4159 Views) |
A transportation problem involving three constraints: source, destination, and conveyance, where all parameters of the problem are fuzzy is called Fully Fuzzy Solid Transportation Problem (FFSTP). In this paper, a new method is proposed to find an optimal solution of an unbalanced FFSTP which the fuzzy numbers are considered to be k-scale trapezoidal fuzzy numbers. The k-scale trapezoidal fuzzy numbers are a generalization of symmetric trapezoidal fuzzy numbers which are considered recently in the literature. In this method, using a new ranking method, we transform the unbalanced FFSTP into a crisp linear programming formulation and find a fuzzy optimal solution for it. The considered model is not necessary balanced and introduced method will solve that without convert it to a balanced model. The advantages of the proposed method are also discussed.
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| Keywords: Fuzzy solid transportation problem, k-scale trapezoidal fuzzy numbers, ranking methods, trapezoidal fuzzy numbers. |
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Full-Text [PDF 249 kb]
(5870 Downloads)
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Type of Study: Original |
Subject:
Other
Received: 2023/02/13 | Accepted: 2023/08/21 | Published: 2023/08/28
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