aspg-21-3558-1791468719 20261008141159 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 4 Kalaiarasi K. PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli, Tamil Nadu, India Nasreen Kausar Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145 Balikesir, T¨urkiye Said Broumi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco; STIE Team, Regional Center for the Professions of Education and Training (C.R Tonguc Cagin College of Business Administration, American University of the Middle East, Kuwait The fuzzy stock administration demonstrates displayed in this work employments neutrosophic set hypothesis, pentagonal fuzzy numbers, and the Graded mean Integration Representation (GMIR) strategy for defuzzification. Request rates, arrange amounts, utilization rates, holding costs, setup costs, and deficiency costs are all spoken to as fuzzy parameters within the demonstrate to account for the inborn instability and vacillation. To reduce by and large costs, the whole cost work is calculated, taking setup, holding, and shortage costs into consideration. In arrange to speak to the combined impacts of a few fetched components, the overall taken a toll work is rearranged and the ideal arrange amount is built up beneath fuzzy conditions utilizing pentagonal fuzzy parameters. The demonstrate is assessed beneath different degrees of instability through a case-based investigation, advertising an exhaustive system for making choices on stock administration in equivocal and dubious circumstances. The results appear how versatile and capable the show is for improving fetched advancement and stock control. 2025 472 483 3558 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250440 https://www.americaspg.com/journal/21/article/3558 https://www.americaspg.com/storage/71738605059.pdf