Fermatean fuzzy sets

In this paper, we propose Fermatean fuzzy sets. We compare Fermatean fuzzy sets with Pythagorean fuzzy sets and intuitionistic fuzzy sets. We focus on complement operator of Fermatean fuzzy sets. We find out the fundamental set of operations for the Fermatean fuzzy sets. We define score function and...

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Bibliographic Details
Published in:Journal of ambient intelligence and humanized computing Vol. 11; no. 2; pp. 663 - 674
Main Authors: Senapati, Tapan, Yager, Ronald R.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2020
Springer Nature B.V
Subjects:
Artificial Intelligence
Computational Intelligence
Decision making
Engineering
Euclidean geometry
Fuzzy sets
Internet stocks
Multiple criterion
Original Research
Robotics and Automation
User Interfaces and Human Computer Interaction
Fermatean fuzzy set
Multi-criteria decision making
TOPSIS
Euclidean distance
ISSN:1868-5137, 1868-5145
Online Access:Get full text
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Summary:In this paper, we propose Fermatean fuzzy sets. We compare Fermatean fuzzy sets with Pythagorean fuzzy sets and intuitionistic fuzzy sets. We focus on complement operator of Fermatean fuzzy sets. We find out the fundamental set of operations for the Fermatean fuzzy sets. We define score function and accuracy function for ranking of Fermatean fuzzy sets. In addition, we also study Euclidean distance between two Fermatean fuzzy sets. Later, we establish a Fermatean fuzzy TOPSIS method to fix multiple criteria decision-making problem. Ultimately, an interpretative example is stated in details to justify the elaborated method and to illustrate its viability and usefulness.
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ISSN:1868-5137
1868-5145
DOI:10.1007/s12652-019-01377-0