Journal ArticleDOI
A New Generalized Pythagorean Fuzzy Information Aggregation Using Einstein Operations and Its Application to Decision Making
TLDR
These weighted aggregated operators are applied to decision‐making problems in which experts provide their preferences in the Pythagorean fuzzy environment to show the validity, practicality, and effectiveness of the new approach.Abstract:
The objective of this article is to extend and present an idea related to weighted aggregated operators from fuzzy to Pythagorean fuzzy sets PFSs. The main feature of the PFS is to relax 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 averaging PFEWA, Pythagorean fuzzy Einstein ordered weighted averaging PFEOWA, generalized Pythagorean fuzzy Einstein weighted averaging GPFEWA, and generalized Pythagorean fuzzy Einstein ordered weighted averaging GPFEOWA, are proposed in this article. Some desirable properties corresponding to it have also been investigated. Furthermore, these operators are applied to decision-making problems in which experts provide their preferences in the Pythagorean fuzzy environment to show the validity, practicality, and effectiveness of the new approach. Finally, a systematic comparison between the existing work and the proposed work has been given.read more
Citations
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Journal ArticleDOI
Some q‐Rung Orthopair Fuzzy Aggregation Operators and their Applications to Multiple‐Attribute Decision Making
Peide Liu,Peng Wang +1 more
TL;DR: This work presented two new methods to deal with the multi‐attribute decision making problems under the fuzzy environment and used some practical examples to illustrate the validity and superiority of the proposed method by comparing with other existing methods.
Journal ArticleDOI
Some q‐rung orthopair fuzzy Heronian mean operators in multiple attribute decision making
Guiwu Wei,Hui Gao,Yu Wei +2 more
TL;DR: An approach to multiple attribute decision making based on q‐ROFGWHM (q‐ROFWGHM) operator is proposed and a practical example for enterprise resource planning system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.
Journal ArticleDOI
Generalized Pythagorean Fuzzy Geometric Aggregation Operators Using Einstein t-Norm and t-Conorm for Multicriteria Decision-Making Process
TL;DR: 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 ofthe degree of membership functions isLess than one.
Journal ArticleDOI
A Novel Correlation Coefficients between Pythagorean Fuzzy Sets and Its Applications to Decision-Making Processes
TL;DR: A novel correlation coefficient and weighted correlation coefficient formulation is proposed to measure the relationship between two PFSs and results computed are compared with the existing indices.
Journal ArticleDOI
Pythagorean fuzzy power aggregation operators in multiple attribute decision making
Guiwu Wei,Mao Lu +1 more
TL;DR: The prominent characteristic of these proposed operators are studied and some approaches to solve the Pythagorean fuzzy multiple attribute decision‐making problems are developed.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Journal ArticleDOI
Intuitionistic Fuzzy Aggregation Operators
TL;DR: Based on score function and accuracy function, a method is introduced for the comparison between two intuitionistic fuzzy values and some aggregation operators are developed, such as the intuitionism fuzzy weighted averaging operator, intuitionists fuzzy ordered weighted averaging operators, and intuitionistic fuzziness hybrid aggregation operator, for aggregating intuitionist fuzzy values.
Journal ArticleDOI
Pythagorean membership grades in multicriteria decision making
TL;DR: The issue of having to choose a best alternative in multicriteria decision making leads the problem of comparing Pythagorean membership grades to be considered, and a variety of aggregation operations are introduced for these Pythagorian fuzzy subsets.
Proceedings ArticleDOI
Pythagorean fuzzy subsets
TL;DR: A new class of non-standard fuzzy subset called Pythagorean fuzzy subsets is introduced and the related idea of Pythgorean membership grades is introduced, with a focus on the negation operation and its relationship to the Pythagorian theorem.