Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making

摘要

We propose some similarity measures between twotriangular fuzzy numbers (TFNs) based on the vector similarity measures invector space, which can be used to aggregate the decision information withTFNs. A methodology for multiple criteria group decision-making (MCGDM)problems with triangular fuzzy information is proposed; the criteria values takethe form of linguistic values, which can be converts to TFNs. According to theweighted similarity measures between each alternative and ideal alternative,it is easy to rank alternatives and select the most desirable alternative. Finally,we apply the proposed methods to an illustrative example of MCGDM;the numerical results show that our method is effective and practical. Forcomparison, we also apply our similarity measures method to solve the fuzzydecision-making problem in Wei (2011); our method has simpler computation and getsthe same results more rapidly than the FLOWHM method.