Fundamental Properties of Interval-Valued Pythagorean Fuzzy Aggregation Operators

In this paper, we investigate the multiple attribute group decision making (MAGDM) problems with interval‐valued Pythagorean fuzzy sets (IVPFSs). First, the concept, operational laws, score function, and accuracy function of IVPFSs are defined. Then, based on the operational laws, two interval‐value...

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Bibliographic Details
Published in:International journal of intelligent systems Vol. 31; no. 5; pp. 444 - 487
Main Authors: Peng, Xindong, Yang, Yong
Format: Journal Article
Language:English
Published: New York Blackwell Publishing Ltd 01.05.2016
John Wiley & Sons, Inc
Subjects:
Adjustment
Agglomeration
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy sets
Inequalities
Intelligent systems
Operators
Software development
Uncertainty
ISSN:0884-8173, 1098-111X
Online Access:Get full text
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Summary:In this paper, we investigate the multiple attribute group decision making (MAGDM) problems with interval‐valued Pythagorean fuzzy sets (IVPFSs). First, the concept, operational laws, score function, and accuracy function of IVPFSs are defined. Then, based on the operational laws, two interval‐valued Pythagorean fuzzy aggregation operators are developed for aggregating the interval‐valued Pythagorean fuzzy information, such as interval‐valued Pythagorean fuzzy weighted average (IVPFWA) operator and interval‐valued Pythagorean fuzzy weighted geometric (IVPFWG) operator. A series of inequalities of aggregation operators are studied. Later, we develop some interval‐valued Pythagorean fuzzy point operators. Moreover, combining the interval‐valued Pythagorean fuzzy point operators with IVPFWA operator, we present some interval‐valued Pythagorean fuzzy point weighted averaging (IVPFPWA) operators, which can adjust the degree of the aggregated arguments with some parameters. Then, we propose an interval‐valued Pythagorean fuzzy ELECTRE method to solve uncertainty MAGDM problem. Finally, an illustrative example for evaluating the software developments is given to verify the developed approach and to demonstrate its practicality and effectiveness.
Bibliography:istex:5A7BF2FAFFCAC1836EDFD004E6FE5829D9BC73AB
ArticleID:INT21790
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ISSN:0884-8173
1098-111X
DOI:10.1002/int.21790