Volume 34, Issue 5 pp. 1001-1033
RESEARCH ARTICLE

Multiattribute group decision-making based on Pythagorean fuzzy Einstein prioritized aggregation operators

Muhammad Sajjad Ali Khan

Corresponding Author

Muhammad Sajjad Ali Khan

Department of Mathematics, Hazara University, Mansehra, Pakistan

Correspondence Muhammad Sajjad Ali Khan, Department of Mathematics, Hazara University, Mansehra, KPK 21310, Pakistan. Email: [email protected]

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Saleem Abdullah

Saleem Abdullah

Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Pakistan

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Asad Ali

Asad Ali

Department of Mathematics, Hazara University, Mansehra, Pakistan

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First published: 19 December 2018
Citations: 50

Abstract

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.

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