Some Results for Pythagorean Fuzzy Sets
Peng, Xindong; Yang, Yong
Source PublicationInternational Journal of Intelligent Systems
AbstractPythagorean 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.
KeywordDecision making Mathematical operators Boundedness Fuzzy aggregation operators Idempotency Inferiority ranking method Intuitionistic fuzzy sets Membership grade Monotonicity Multiple attribute group decision makings (MAGDM)
Indexed ByEI ; SCIE
WOS Research AreaComputer Science
WOS SubjectComputer Science, Artificial Intelligence
WOS IDWOS:000363730000002
PublisherJohn Wiley and Sons Ltd, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom
EI Accession Number20151900835387
EI KeywordsFuzzy sets
EI Classification Number912.2 Management
Original Document TypeJournal article (JA)
Citation statistics
Cited Times:721[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Corresponding AuthorYang, Yong
AffiliationNorthwest Normal Univ, Coll Comp Sci & Engn, Lanzhou, Peoples R China
First Author Affilication计算机科学与工程学院
Corresponding Author Affilication计算机科学与工程学院
First Signature Affilication计算机科学与工程学院
Recommended Citation
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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