A Novel Ranking Method for Trapezoidal Fuzzy Soft Sets and Applications in Multicriteria Decision‐Making

Fuzzy set theory is a versatile concept that finds applications in various fields such as mathematics, engineering, control engineering, computer science, and artificial intelligence. When there is uncertainty in the data and/or information available to make a decision, fuzzy numbers play a signific...

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Bibliographic Details
Published in:Advances in fuzzy systems Vol. 2025; no. 1
Main Authors: P. G. Patil, Elluru, Vyshakha, John, Sunil Jacob, T., Baiju
Format: Journal Article
Language:English
Published: New York John Wiley & Sons, Inc 01.01.2025
Wiley
Subjects:
Artificial intelligence
Computer science
Control theory
Data analysis
Decision making
Engineering
Fuzzy set theory
Fuzzy sets
Multiple criteria decision making
Multiple criterion
Numbers
Process engineering
Ranking
Ratings & rankings
Rentals
Set theory
Uncertainty
ISSN:1687-7101, 1687-711X
Online Access:Get full text
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Summary:Fuzzy set theory is a versatile concept that finds applications in various fields such as mathematics, engineering, control engineering, computer science, and artificial intelligence. When there is uncertainty in the data and/or information available to make a decision, fuzzy numbers play a significant role. They have a major influence on the decision‐making process. Hence, the ranking of fuzzy numbers become more significant in solving such problems. As the uncertainty becomes more, the role of fuzzy soft sets plays an important role. There are many ranking techniques for fuzzy numbers but it is necessary to rank the trapezoidal fuzzy soft sets (TrFSSs) to deal with uncertainty. The present paper focuses on introducing a novel ranking method specifically designed for TrFSSs. Furthermore, some examples are presented illustrating the application of this ranking method. Furthermore, the paper explores the use of the proposed ranking method in solving the multicriteria decision‐making problems. So far, this is the first ranking method for TrFSSs.
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ISSN:1687-7101
1687-711X
DOI:10.1155/adfs/5297479