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Decision-Making Approach under Pythagorean Fuzzy Yager Weighted Operators

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Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
2
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80219, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(1), 70; https://doi.org/10.3390/math8010070
Received: 12 November 2019 / Revised: 23 December 2019 / Accepted: 24 December 2019 / Published: 2 January 2020
In fuzzy set theory, t-norms and t-conorms are fundamental binary operators. Yager proposed respective parametric families of both t-norms and t-conorms. In this paper, we apply these operators for the analysis of Pythagorean fuzzy sets. For this purpose, we introduce six families of aggregation operators named Pythagorean fuzzy Yager weighted averaging aggregation, Pythagorean fuzzy Yager ordered weighted averaging aggregation, Pythagorean fuzzy Yager hybrid weighted averaging aggregation, Pythagorean fuzzy Yager weighted geometric aggregation, Pythagorean fuzzy Yager ordered weighted geometric aggregation and Pythagorean fuzzy Yager hybrid weighted geometric aggregation. These tools inherit the operational advantages of the Yager parametric families. They enable us to study two multi-attribute decision-making problems. Ultimately we can choose the best option by comparison of the aggregate outputs through score values. We show this procedure with two practical fully developed examples. View Full-Text
Keywords: Yager operators; aggregation operators; arithmetic; geometric; decision-making Yager operators; aggregation operators; arithmetic; geometric; decision-making
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Shahzadi, G.; Akram, M.; Al-Kenani, A.N. Decision-Making Approach under Pythagorean Fuzzy Yager Weighted Operators. Mathematics 2020, 8, 70.

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