New Entropy Measure for Fermatean Fuzzy Set Using COPRAS Approach for Selection of Antivirus

Fermantean Fuzzy Set (FFS) is the extension of both Intuitionistic Fuzzy Set(IFS) and Pythagorean Fuzzy set(PFS) as it overcomes its limitations. This paper introduces novel entropy measures for FFS, outlining their definition and validating various related properties. Multi-Criteria Decision Making (MCDM) is a approach employed to assess multiple factors in decision-making, often incorporating insights from experienced professionals. Entropy-based decision-making is beneficial since higher entropy reduces uncertainty. This paper provides a numerical example to compare our novel entropy measure with existing entropy measures of IFS, validating the results using the Complex Proportional Assessment (COPRAS) method.

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Publication Details

Published
2025-04-02
DOI
https://doi.org/10.23919/indiacom66777.2025.11115201
Primary Topic
Fuzzy Systems and Optimization
Type
article
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article

New Entropy Measure for Fermatean Fuzzy Set Using COPRAS Approach for Selection of Antivirus

Sunil Kumar, Sonia Sonia, Sahil Kashyap, Hemant Azta
Fuzzy Systems and Optimization
article

New Entropy Measure for Fermatean Fuzzy Set Using COPRAS Approach for Selection of Antivirus

Sunil Kumar, Sonia Sonia, Sahil Kashyap, Hemant Azta
article en

Abstract

Fermantean Fuzzy Set (FFS) is the extension of both Intuitionistic Fuzzy Set(IFS) and Pythagorean Fuzzy set(PFS) as it overcomes its limitations. This paper introduces novel entropy measures for FFS, outlining their definition and validating various related properties. Multi-Criteria Decision Making (MCDM) is a approach employed to assess multiple factors in decision-making, often incorporating insights from experienced professionals. Entropy-based decision-making is beneficial since higher entropy reduces uncertainty. This paper provides a numerical example to compare our novel entropy measure with existing entropy measures of IFS, validating the results using the Complex Proportional Assessment (COPRAS) method.

Shoolini University (IN)
Openalex Percentile: Top 79%
Fuzzy Systems and Optimization
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