Uncertain Power Average Operators for Aggregating Interval Fuzzy Preference Relations
Group Decision and NegotiationPublished 27 September 2010
Zeshui Xu, Xiaoqiang Cai
Citations43
SJR quartileQ1
SJR score0.64
SNIP0.90
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TL;DR
An uncertain power weighted average (UPWA) operator and an uncertain power ordered weightedAverage (UPOWA) operator are defined on the basis of the power average operator of Yager and the uncertain geometric mean to investigate group decision making problems based on interval fuzzy preference relations.
Abstract
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.
Keywords
Decision SciencesMathematicsEngineering
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