Uncertain Power Average Operators for Aggregating Interval Fuzzy Preference Relations |
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Authors: | Zeshui Xu Xiaoqiang Cai |
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Institution: | 1.School of Economics and Management,Southeast University,Nanjing,China;2.Department of Systems Engineering and Engineering Management,The Chinese University of Hong Kong,Shatin, NT,Hong Kong |
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Abstract: | In this paper, we investigate group decision making problems based on interval fuzzy preference relations. We define an uncertain
power weighted average (UPWA) operator and an uncertain power ordered weighted average (UPOWA) operator, on the basis of the
power average operator of Yager (IEEE Trans Syst Man Cybern A 31:724–731, 1988) and the uncertain geometric mean. In the situations
where the weights of experts are known, we develop a method based on the UPWA operator for group decision making with interval
fuzzy preference relations; and in the situations where the weights of experts are unknown, we develop a method based on the
UPOWA operator for group decision making with interval fuzzy preference relations. |
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