Group Decision Making With Consistency of Intuitionistic Fuzzy Preference Relations Under Uncertainty |
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Authors: | Yang Lin Yingming Wang |
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Affiliation: | 1.Institute of Decision Science, Fuzhou University, Fuzhou 350116, China, and also with the School of Economics, Fujian Normal University, Fuzhou 350116, China2.Institute of Decision Science, Fuzhou University, Fuzhou 350116, China |
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Abstract: | Intuitionistic fuzzy preference relation (IFPR) is a suitable technique to express fuzzy preference information by decision makers (DMs). This paper aims to provide a group decision making method where DMs use the IFPRs to indicate their preferences with uncertain weights. To begin with, a model to derive weight vectors of alternatives from IFPRs based on multiplicative consistency is presented. Specifically, for any IFPR, by minimizing its absolute deviation from the corresponding consistent IFPR, the weight vectors are generated. Secondly, a method to determine relative weights of DMs depending on preference information is developed. After that we prioritize alternatives based on the obtained weights considering the risk preference of DMs. Finally, this approach is applied to the problem of technical risks assessment of armored equipment to illustrate the applicability and superiority of the proposed method. |
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Keywords: | Group decision making (GDM) intuitionistic fuzzy preference relation (IFPR) intuitionistic fuzzy set (IFS) multiplicative consistency risk preference uncertain weights |
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