Multi-criteria group decision making based on trapezoidal intuitionistic fuzzy information |
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Affiliation: | 1. Institute of Fundamental and Frontier Science, University of Electronic Science and Technology of China, Chengdu 610054, China;2. School of Engineering, University of British Columbia Okanagan, 3333 University Way, Kelowna V1V 1V7, BC, Canada;3. School of Computer and Information Science, Southwest University, Chongqing 400715, China |
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Abstract: | With respect to multi-criteria group decision making (MCGDM) problems under trapezoidal intuitionistic fuzzy environment, a new MCGDM method is investigated. The proposed method can effectively avoid the failure caused by the use of inconsistent decision information and provides a decision-making idea for the case of “the truth be held in minority”. It consists of three interrelated modules: weight determining mechanism, group consistency analysis, and ranking and selection procedure. For the first module, distance measures, expected values and arithmetic averaging operator for trapezoidal intuitionistic fuzzy numbers are used to determine the weight values of criteria and decision makers. For the second module, a consistency analysis and correction procedure based on trapezoidal intuitionistic fuzzy weighted averaging operator and OWA operator is developed to reduce the influence of conflicting opinions prior to the ranking process. For the third module, a trapezoidal intuitionistic fuzzy TOPSIS is used for ranking and selection. Then a procedure for the proposed MCGDM method is developed. Finally, a numerical example further illustrates the practicality and efficiency of the proposed method. |
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Keywords: | Trapezoidal intuitionistic fuzzy numbers Group decision making Consistency analysis Weighted averaging operator |
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