Volume 19, Issue 4 (12-2022)
jor 2022, 19(4): 127-136 |
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Arshi M, Hadi-Vencheh A, Nazari M, Jamshidi A. New Method Based on the TOPSIS Method to Solve Criteria Decision-Making Problems with Intuitionistic Fuzzy Information. jor 2022; 19 (4) :127-136
URL: http://jamlu.liau.ac.ir/article-1-2033-en.html
URL: http://jamlu.liau.ac.ir/article-1-2033-en.html
Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran
Abstract: (1709 Views)
Multicriteria decision making (MCDM) in intuitionistic Fuzzy environments is a very important research topic. When available information is precise, many methods exist to solve this problem. But the uncertainty and fuzziness inherent in the structure of information make rigorous mathematical models inappropriate for solving this type of problems. Intuitionistic fuzzy set (IFS) is very useful in providing a flexible model to elaborate uncertainty and vagueness involved in decision making. This paper investigates multiple criteria decision-making problems with intuitionistic fuzzy information. A modified TOPSIS method is proposed. First, the proposed method calculates the relative positive ideal solution and the relative negative ideal solution for each alternative. Then, the weighted Hamming distances between every alternative and positive ideal solution and negative ideal solution are calculated. Then, according to the weighted Hamming distances, the relative closeness coefficient to the positive ideal solution is calculated to rank all alternatives. Finally, two illustrative examples are given.
Keywords: Multiple Criteria Decision-Making (MCDM), Intuitionistic Fuzzy Numbers, Weighted Hamming Distances.
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