Multiplicative consistency analysis for interval fuzzy preference relations: A comparative study
Chunqiao Tan and
Xiaohong Chen ()
Omega, 2017, vol. 68, issue C, 17-38
To examine the multiplicative consistency of interval fuzzy preference relations (IFPRs), this paper first analyzes the limitations associated with the previous consistency concepts. Accordingly, a new consistency concept is defined that is an extension of the crisp case and overcomes limitations in the previous concepts. Next, a linear programming model to judge the consistency of IFPRs is constructed, and an approach to derive multiplicative consistent IFPRs is introduced. Furthermore, goal-programming models to determine missing values in an incomplete IFPR are constructed that have the highest consistent level with respect to known values. Moreover, a multiplicative consistency and consensus based method for group decision making with IFPRs is developed that can address incomplete and inconsistent cases. Finally, two practical decision-making problems are offered to demonstrate the feasibility and efficiency of the new method, and an analysis of a numerical and theoretical comparison with several related methods is performed.
Keywords: Decision analysis; Interval fuzzy preference relation; Multiplicative consistency; Programming model; Consensus (search for similar items in EconPapers)
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