Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision Making

Pythagorean fuzzy set is one of the successful extensions of the intuitionistic fuzzy set for handling uncertainties in information. Under this environment, in this paper, we introduce the notion of Pythagorean fuzzy Einstein hybrid averaging (PFEHA) aggregation operator along with some of its prope...

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Bibliographic Details
Published in:Journal of intelligent systems 2020-01, Vol.29 (1), p.736-752
Main Authors: Rahman, Khaista, Abdullah, Saleem, Ali, Asad, Amin, Fazli
Format: Article
Language:English
Subjects:
Agglomeration
Decision making
Decision support systems
Fuzzy sets
multiple-attribute group decision-making problem
PFEHA aggregation operator
Pythagorean fuzzy set
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Summary:Pythagorean fuzzy set is one of the successful extensions of the intuitionistic fuzzy set for handling uncertainties in information. Under this environment, in this paper, we introduce the notion of Pythagorean fuzzy Einstein hybrid averaging (PFEHA) aggregation operator along with some of its properties, namely idempotency, boundedness, and monotonicity. PFEHA aggregation operator is the generalization of Pythagorean fuzzy Einstein weighted averaging aggregation operator and Pythagorean fuzzy Einstein ordered weighted averaging aggregation operator. The operator proposed in this paper provides more accurate and precise results as compared to the existing operators. Therefore, this method plays a vital role in real-world problems. Finally, we applied the proposed operator and method to multiple-attribute group decision making.
ISSN:0334-1860
2191-026X
DOI:10.1515/jisys-2018-0071