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Some Results for Pythagorean Fuzzy Sets

pengxindong 添加于 2015/10/17 17:46:31  657次阅读 | 0次推荐 | 3个评论

Pythagorean fuzzy sets (PFSs), originally proposed by Yager (Yager, Abbasov. Int J Intell Syst 2013;28:436–452), are a new tool to deal with vagueness considering the membership grades are pairs satisfying the condition . As a generalized set, PFSs have close relationship with intuitionistic fuzzy sets (IFSs). PFSs can be reduced to IFSs satisfying the condition . However, the related operations of PFSs do not take different conditions into consideration. To better understand PFSs, we propose two operations: division and subtraction, and discuss their properties in detail. Then, based on Pythagorean fuzzy aggregation operators, their properties such as boundedness, idempotency, and monotonicity are investigated. Later, we develop a Pythagorean fuzzy superiority and inferiority ranking method to solve uncertainty multiple attribute group decision making problem. Finally, an illustrative example for evaluating the Internet stocks performance is given to verify the developed approach and to demonstrate its practicality and effectiveness.

作 者:Xindong Peng,Yong Yang
期刊名称: International Journal of Intelligent Systems
期卷页: 第30卷 第11期 1133~1160页
学科领域:管理综合 » 管理科学与工程 » 决策理论与方法
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原文链接:http://onlinelibrary.wiley.com/doi/10.1002/int.21738/abstract
DOI: 10.1002/int.21738
ISBN: 1098-111X
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