International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3636 2020 2020 A Generalized Directed Divergence of Fuzzy Entropy Symbiosis Institute of Technology, Symbiosis International(Deemed University), Pune, 412115, India; Dr. Vishwanath Karad MIT World Peace University, Pune, 411038, India Javid Javid Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International(Deemed University), Pune, 412115, India Javid Gani Dar 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. 2025 2025 311 321 10.54216/IJNS.260126 https://www.americaspg.com/articleinfo/21/show/3636