A Novel Method of Decision-making Based on Intuitionistic Fuzzy Set Theory

‎Atanassov's intuitionistic fuzzy set is more adept at representing and managing uncertainty‎. ‎Within intuitionistic fuzzy set theory‎, ‎intuitionistic fuzzy measure is a significant field of study‎. ‎In order to address decision making‎, ‎we present a novel similarity metric between intuitionistic fuzzy sets in this study‎. ‎First‎, ‎based on the minimum and maximum levels of similarity‎, ‎we suggest a new similarity metric between intuitionistic fuzzy values. ‎It is capable of overcoming the limitations of current approaches to gauging the degree of resemblance between fuzzy intuitionistic sets‎. ‎It is also possible to show some aspects of the suggested similarity measure between intuitionistic fuzzy sets by taking into account the modal operators and their different extensions‎. ‎Finally‎, ‎we apply the proposed similarity measure between intuitionistic fuzzy sets to deal with a real life problem‎. ‎The suggested action can provide a precise outcome‎. ‎The application section examines a real-world issue of choosing the best course of action among n options based on m criteria‎. ‎A fictitious case study is created along with the method's algorithm‎.

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Publication Details

Journal
Fuzzy Sets and Systems
Published
2024-08-04
DOI
https://doi.org/10.71602/tfss.2025.1183369
Primary Topic
Intuitionistic Fuzzy Systems Applications
Type
article
Field-Weighted Citation Impact
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A Novel Method of Decision-making Based on Intuitionistic Fuzzy Set Theory

Fuzzy Sets and Systems
Intuitionistic Fuzzy Systems Applications
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A Novel Method of Decision-making Based on Intuitionistic Fuzzy Set Theory

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Abstract

‎Atanassov's intuitionistic fuzzy set is more adept at representing and managing uncertainty‎. ‎Within intuitionistic fuzzy set theory‎, ‎intuitionistic fuzzy measure is a significant field of study‎. ‎In order to address decision making‎, ‎we present a novel similarity metric between intuitionistic fuzzy sets in this study‎. ‎First‎, ‎based on the minimum and maximum levels of similarity‎, ‎we suggest a new similarity metric between intuitionistic fuzzy values. ‎It is capable of overcoming the limitations of current approaches to gauging the degree of resemblance between fuzzy intuitionistic sets‎. ‎It is also possible to show some aspects of the suggested similarity measure between intuitionistic fuzzy sets by taking into account the modal operators and their different extensions‎. ‎Finally‎, ‎we apply the proposed similarity measure between intuitionistic fuzzy sets to deal with a real life problem‎. ‎The suggested action can provide a precise outcome‎. ‎The application section examines a real-world issue of choosing the best course of action among n options based on m criteria‎. ‎A fictitious case study is created along with the method's algorithm‎.

Fuzzy Sets and Systems
Maharaja Bir Bikram University (IN)
Peace, Justice and strong institutions
Openalex Percentile: Top 56%
Intuitionistic Fuzzy Systems Applications
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A Novel Method of Decision-making Based on Intuitionistic Fuzzy Set Theory · Fuzzy Sets and Systems (2024) | TGRS Research Map | TGRS