A ranking method for multiple attribute decision-making problems based on the possibility degrees of trapezoidal intuitionistic fuzzy numbers |
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Authors: | Yonghua Hao Xinguo Chen Xuzhu Wang |
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Affiliation: | 1. College of Mathematics, Taiyuan University of Technology, Taiyuan, China;2. College of Economics and Management, Taiyuan University of Technology, Taiyuan, China |
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Abstract: | To solve multiple attribute decision-making problems with attribute values or decision values characterized by trapezoidal intuitionistic fuzzy numbers (TIFNs), we define a trapezoidal intuitionistic fuzzy induced ordered weighted arithmetic averaging (TIFIOWA) operator, which is an extension of the induced ordered weighted arithmetic averaging operator. We derive and prove some related properties and conclusions of the TIFIOWA operator. To compare the TIFNs, we define possibility degrees of the TIFNs. Based on the possibility degrees of the TIFNs and the TIFIOWA operator, we construct a new method to determine the order of alternatives in multiple attribute decision making and to choose the best alternative. Finally, a numerical example shows that the developed method is feasible and effective. |
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Keywords: | decision theory fuzzy logic ranking trapezoidal intuitionistic fuzzy induced ordered weighted arithmetic averaging operator trapezoidal intuitionistic fuzzy number |
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