Fuzzy Events of Theoretic Characteristics by Employing Pseudo Probabilistic Information Measure of Type Alpha

This study first examines a number of widely used fuzziness metrics for discrete fuzzy collections. We present a novel informative measure for discriminating between two fuzzy sets after examining a few of the current fuzzy set measures. We demonstrate that every class fulfills five well-known fuzziness measure axioms and show how a number of current measurements are related to these classes. The non-negative, monotony rising concave functions form the foundation of the multiplicative class. The only functions needed for the additive class are non-negative concave functions. There are also some connections between the many chances that now exist.

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Publication Details

Journal
International journal of mathematics and statistics invention.
Published
2025-03-01
DOI
https://doi.org/10.35629/4767-13032435
Primary Topic
Fuzzy Logic and Control Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Fuzzy Events of Theoretic Characteristics by Employing Pseudo Probabilistic Information Measure of Type Alpha

M Laxmi, Rohit Kumar Verma
International journal of mathematics and statistics invention.
Fuzzy Logic and Control Systems
article

Fuzzy Events of Theoretic Characteristics by Employing Pseudo Probabilistic Information Measure of Type Alpha

M Laxmi, Rohit Kumar Verma
article en

Abstract

This study first examines a number of widely used fuzziness metrics for discrete fuzzy collections. We present a novel informative measure for discriminating between two fuzzy sets after examining a few of the current fuzzy set measures. We demonstrate that every class fulfills five well-known fuzziness measure axioms and show how a number of current measurements are related to these classes. The non-negative, monotony rising concave functions form the foundation of the multiplicative class. The only functions needed for the additive class are non-negative concave functions. There are also some connections between the many chances that now exist.

International journal of mathematics and statistics invention.Vol. 13(3)
Openalex Percentile: Top 93%
Fuzzy Logic and Control Systems
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