aspg-21-3636-1791465331 20261008131531 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 26 1 Vaishali Manish Joshi Symbiosis Institute of Technology, Symbiosis International(Deemed University), Pune, 412115, India; Dr. Vishwanath Karad MIT World Peace University, Pune, 411038, India Javid Gani Dar Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International(Deemed University), Pune, 412115, India 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 311 321 3636 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260126 https://www.americaspg.com/journal/21/article/3636 https://www.americaspg.com/storage/articles/manuscripts/01M3J1ZMNSTQRG5WYMPF4Z23RT.pdf