Generalized Pythagorean Fuzzy Geometric Aggregation Operators Using Einstein t‐Norm and t‐Conorm for Multicriteria Decision‐Making Process

• Published in: International journal of intelligent systems Vol. 32; no. 6; pp. 597 - 630
• Main Author: Garg, Harish
• Format: Journal Article
• Language: English
• Published: New York Hindawi Limited 01-06-2017
• Subjects: Agglomeration; Decision making; Decision support systems; Fuzzy; Fuzzy logic; Fuzzy sets; Goal programming; Intelligent systems; Multiple criteria decision making; Operators
• ISSN: 0884-8173; 1098-111X
• DOI: 10.1002/int.21860

The objective of this paper is to present some series of geometric‐aggregated operators under Pythagorean fuzzy environment by relaxing the condition that the sum of the degree of membership functions is less than one with the square sum of the degree of membership functions is less than one. Under these environments, aggregator operators, namely, Pythagorean fuzzy Einstein weighted geometric, Pythagorean fuzzy Einstein ordered weighted geometric, generalized Pythagorean fuzzy Einstein weighted geometric, and generalized Pythagorean fuzzy Einstein ordered weighted geometric operators, are proposed in this paper. Some of its properties have also been investigated in details. Finally, an illustrative example for multicriteria decision‐making problems of alternatives is taken to demonstrate the effectiveness of the approach.