Group Decision Making Methods Based on Interval-Valued Intuitionistic Fuzzy Sets

• Main Authors: Yen Yu Lu, 盧彥佑
• Other Authors: T. Y. Chen
• Format: Others
• Online Access: http://ndltd.ncl.edu.tw/handle/35714431762894068387

碩士 === 長庚大學 === 企業管理研究所 === 97 === Using the interval-valued intuitionistic fuzzy set as a good way in solving decision-making problems can show a membership degree, nonmembership degree, and a hesitancy degree at the same time while the decision makers with hesitation cannot offer precise information. In addition, a complex issue needs to be dealt with by group through the experiences and wisdom of experts. Therefore, we develop a group decision making methods in this study based on the interval-valued intuitionistic fuzzy set. The purposes of this present study are to generate optimal attribute weights value by using preference relations with programming model, to develop new interval-valued intuitionistic fuzzy aggregation operators to aggregate opinions among experts by different formulas for fuzzy intersection and union, and to compare the results of decision-making through different formulas by applying the new methods to illustrative example of a supplier selection. In methods, algorithms are divided into three states: in the rating state, the data were characterized by the interval-valued intuitionistic fuzzy sets and derived from multiple experts who were asked to give two decision matrices, including the preference relation on attributes and the degree of alternatives with respect to each attributes. In aggregation state, we aggregated the opinions among experts into an opinion of group by interval-valued intuitionistic fuzzy aggregation operators. Recent literature reveals that calculation of interval-valued intuitionistic fuzzy aggregation operators includes fuzzy intersection and union which is by the formula of algebraic product and algebraic sum; however, there is not merely one formula for fuzzy intersection and union. For that reason, we develop the interval-valued intuitionistic fuzzy aggregation operators with different fuzzy intersection and union by the other formula which includes parameter and the non-parameter in this study. In selection state, we rank the alternatives by both the score and accuracy functions. The results indicate that several interval-valued intuitionistic fuzzy aggregation operators generated by different fuzzy intersection and union lead to the distinct priority of alternative. Consequently, users have more choices by applying the adequate interval-valued intuitionistic fuzzy aggregation operators composed of fuzzy intersection and union in different decision-making problems