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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 26Issue 1PP: 311-321 • 2025

A Generalized Directed Divergence of Fuzzy Entropy

Vaishali Manish Joshi 1* ,
Javid Gani Dar 2
1Symbiosis Institute of Technology, Symbiosis International(Deemed University), Pune, 412115, India; Dr. Vishwanath Karad MIT World Peace University, Pune, 411038, India
2Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International(Deemed University), Pune, 412115, India
* Corresponding Author.
Received: October 21, 2024 Revised: January 01, 2025 Accepted: January 30, 2025

Abstract

In the present paper, we introduced a new generalized parametric measure of fuzzy directed divergence of order σ with the proof of its validity. The particular case and some elegant properties of fuzzy directed divergence measure are studied. Total ambiguity , fuzzy information improvement measure and reduction in improvement measure are given for the proposed measure. A comparative study of proposed measure with existing generalized fuzzy directed divergence measure is computed numerically and represented by using graphical representation. The application of proposed fuzzy directed divergence measure in multi criteria decision making problem is demonstrated by using numerical example.

Keywords

Entropy Fuzzy Sets Fuzzy Entropy Directed Divergence Fuzzy Directed Divergence measure Multi Criteria Decision Making Problem

References

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Joshi, Vaishali Manish, Dar, Javid Gani. "A Generalized Directed Divergence of Fuzzy Entropy." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, 2025, pp. 311-321. DOI: https://doi.org/10.54216/IJNS.260126
Joshi, V., Dar, J. (2025). A Generalized Directed Divergence of Fuzzy Entropy. International Journal of Neutrosophic Science, Volume 26(Issue 1), 311-321. DOI: https://doi.org/10.54216/IJNS.260126
Joshi, Vaishali Manish, Dar, Javid Gani. "A Generalized Directed Divergence of Fuzzy Entropy." International Journal of Neutrosophic Science Volume 26, no. Issue 1 (2025): 311-321. DOI: https://doi.org/10.54216/IJNS.260126
Joshi, V., Dar, J. (2025) 'A Generalized Directed Divergence of Fuzzy Entropy', International Journal of Neutrosophic Science, Volume 26(Issue 1), pp. 311-321. DOI: https://doi.org/10.54216/IJNS.260126
Joshi V, Dar J. A Generalized Directed Divergence of Fuzzy Entropy. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 1):311-321. DOI: https://doi.org/10.54216/IJNS.260126
V. Joshi, J. Dar, "A Generalized Directed Divergence of Fuzzy Entropy," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, pp. 311-321, 2025. DOI: https://doi.org/10.54216/IJNS.260126
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