Generalized point operators for aggregating intuitionistic fuzzy information

Authors:
Meimei Xia;Zeshui Xu
Affiliations:
School of Economics and Management, Southeast University, Nanjing 211189, People's Republic of China;School of Economics and Management, Southeast University, Nanjing 211189, People's Republic of China
Venue:
International Journal of Intelligent Systems
Year:
2010

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Abstract

We first develop a series of intuitionistic fuzzy point operators, and then based on the idea of generalized aggregation (Yager RR. Generalized OWA aggregation operators. Fuzzy Optim Decis Making 2004;3:93–107 and Zhao H, Xu ZS, Ni MF, Liu SS. Generalized aggregation operators for intuitionistic fuzzy sets. Int J Intell Syst 2010;25:1–30), we develop various generalized intuitionistic fuzzy point aggregation operators, such as the generalized intuitionistic fuzzy point weighted averaging (GIFPWA) operators, generalized intuitionistic fuzzy point ordered weighted averaging (GIFPOWA) operators, and generalized intuitionistic fuzzy point hybrid averaging (GIFPHA) operators, which can control the certainty degrees of the aggregated arguments with some parameters. Furthermore, we study the properties and special cases of our operators. © 2010 Wiley Periodicals, Inc.