Some Results for Pythagorean Fuzzy Sets

doi:10.1002/int.21738

	Some Results for Pythagorean Fuzzy Sets
	Peng, Xindong; Yang, Yong
	2015-11-01
发表期刊	International Journal of Intelligent Systems
ISSN	0884-8173
卷号	30 期号:11 页码:1133-1160
摘要	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 (μ,ν) satisfying the condition μ2+ν2≤1. As a generalized set, PFSs have close relationship with intuitionistic fuzzy sets (IFSs). PFSs can be reduced to IFSs satisfying the condition μ+ν≤1. 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. © 2015 Wiley Periodicals, Inc.
关键词	Decision making Mathematical operators Boundedness Fuzzy aggregation operators Idempotency Inferiority ranking method Intuitionistic fuzzy sets Membership grade Monotonicity Multiple attribute group decision makings (MAGDM)
DOI	10.1002/int.21738
收录类别	EI ; SCIE
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Artificial Intelligence
WOS记录号	WOS:000363730000002
出版者	John Wiley and Sons Ltd, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom
EI入藏号	20151900835387
EI主题词	Fuzzy sets
EI分类号	912.2 Management
原始文献类型	Journal article (JA)
引用统计	被引频次：723[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.nwnu.edu.cn/handle/39RV6HYL/31277
专题	实体学院_计算机科学与工程学院
通讯作者	Yang, Yong
作者单位	Northwest Normal Univ, Coll Comp Sci & Engn, Lanzhou, Peoples R China
第一作者单位	计算机科学与工程学院
通讯作者单位	计算机科学与工程学院
第一作者的第一单位	计算机科学与工程学院
推荐引用方式 GB/T 7714	Peng, Xindong,Yang, Yong. Some Results for Pythagorean Fuzzy Sets[J]. International Journal of Intelligent Systems,2015,30(11):1133-1160.
APA	Peng, Xindong,&Yang, Yong.(2015).Some Results for Pythagorean Fuzzy Sets.International Journal of Intelligent Systems,30(11),1133-1160.
MLA	Peng, Xindong,et al."Some Results for Pythagorean Fuzzy Sets".International Journal of Intelligent Systems 30.11(2015):1133-1160.

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