A novel ranking approach to solving fully LR-intuitionistic fuzzy transportation problems. (English) Zbl 1507.90019
Summary: To the extent of our knowledge, there is no method in fuzzy environment to solving the fully LR-intuitionistic fuzzy transportation problems (LR-IFTPs) in which all the parameters are represented by LR-intuitionistic fuzzy numbers (LR-IFNs). In this paper, a novel ranking function is proposed to finding an optimal solution of fully LR-intuitionistic fuzzy transportation problem by using the distance minimizer of two LR-IFNs. It is shown that the proposed ranking method for LR-intuitionistic fuzzy numbers satisfies the general axioms of ranking functions. Further, we have applied ranking approach to solve an LR-intuitionistic fuzzy transportation problem in which all the parameters (supply, cost and demand) are transformed into LR-intuitionistic fuzzy numbers. The proposed method is illustrated with a numerical example to show the solution procedure and to demonstrate the efficiency of the proposed method by comparison with some existing ranking methods available in the literature.
MSC:
| 90B06 | Transportation, logistics and supply chain management |
| 62F07 | Statistical ranking and selection procedures |
| 03E72 | Theory of fuzzy sets, etc. |
Keywords:
LR fuzzy number; LR-intuitionistic fuzzy number (LR-IFN); ranking function; LR-intuitionistic fuzzy transportation problem (LR-IFTP)References:
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