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Multiattribute group decision‐making based on Pythagorean fuzzy Einstein prioritized aggregation operators
Author(s) -
Ali Khan Muhammad Sajjad,
Abdullah Saleem,
Ali Asad
Publication year - 2019
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22084
Subject(s) - pythagorean theorem , group decision making , vagueness , operator (biology) , computer science , monotonic function , fuzzy logic , group (periodic table) , rank (graph theory) , set (abstract data type) , artificial intelligence , mathematics , chemistry , geometry , organic chemistry , mathematical analysis , biochemistry , repressor , combinatorics , political science , transcription factor , law , gene , programming language
Pythagorean fuzzy set (PFS) is a powerful tool to deal with the imprecision and vagueness. Many aggregation operators have been proposed by many researchers based on PFSs. But the existing methods are under the hypothesis that the decision‐makers (DMs) and the attributes are at the same priority level. However, in real group decision‐making problems, the attribute and DMs may have different priority level. Therefore, in this paper, we introduce multiattribute group decision‐making (MAGDM) based on PFSs where there exists a prioritization relationship over the attributes and DMs. First we develop Pythagorean fuzzy Einstein prioritized weighted average operator and Pythagorean fuzzy Einstein prioritized weighted geometric operator. We study some of its desirable properties such as idempotency, boundary, and monotonicity in detail. Moreover we propose a MAGDM approach based on the developed operators under Pythagorean fuzzy environment. Finally, an illustrative example is provided to illustrate the practicality of the proposed approach.