Generalized power aggregation operators and their applications in group decision making

Authors:
Ligang Zhou;Huayou Chen;Jinpei Liu
Affiliations:
School of Mathematical Sciences, Anhui University, Jiulong Road, Hefei, Anhui 230601, China;School of Mathematical Sciences, Anhui University, Jiulong Road, Hefei, Anhui 230601, China;School of Management, Tianjin University, Weijin Road, Tianjin 300072, China
Venue:
Computers and Industrial Engineering
Year:
2012

Citing 23
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Abstract

In this paper, we investigate a generalized power average (GPA) operator and its weighted form, which are on the basis of the power average (PA) operator and the generalized mean, and develop a generalized power ordered weighted average (GPOWA) operator based on the power ordered weighted average (POWA) operator. Then, we extend these operators to uncertain environments and present an uncertain generalized power average (UGPA) operator and its weighted form, and an uncertain generalized power ordered weighted average (UGPOWA) operator to aggregate the input arguments taking the form of interval of numerical values. We also extend the GPA operator and the GPOWA operator to intuitionistic fuzzy environment, and obtain the generalized intuitionistic fuzzy power averaging (GIFPA) operator and the generalized intuitionistic fuzzy power ordered weighted averaging (GIFPOWA) operator. Moreover, some properties of these operators are studied. We also present new approaches on the basis of the proposed operators in an example of strategic decision making.