Developing a fuzzy logic-based carbon emission cost-incorporated inventory model with memory effects

• DOI: 10.1016/j.asej.2024.102746
• Publication Date: 2024-03-23T09:31:42Z
• Authors: Rituparna Pakhira; Bapin Mondal; Ashraf Adnan Thir...; Manar A. Alqudah; Thabet Abdeljawad
• Keywords: Fractional order inventory model; Fuzzy inventory model; 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology; Carbon emission cost; TA1-2040; Engineering (General). Civil engineering (General)

Inventory control is a widely discussed topic in the real world, and recently, it has become closely linked to concerns about carbon emissions global warming. Global warming pressing issue, mainly due lack of awareness action. Traditional inventory models, which typically use integer-order differential equations, overlook memory aspect system. Addressing management essential our efforts combat This paper introduces novel approach by incorporating emission costs within fuzzy environment. Fractional Calculus, powerful mathematical tool, employed capture effect distinguishes between long memory, characterized strong effect, short associated with poor through fractional derivatives integrals. Numerical results are analyzed based on these concepts. Entrepreneurs often find difficult determine exact values for known parameters world. Therefore, this study considers uncertain nature ordering costs, rate deterioration, demand rates as triangular numbers. The optimal average cost intervals determined using solution methodology. A sensitivity analysis performed demonstrate how different system influence outcomes Notably, observed that profit tends be higher under conditions compared effects. Moreover, it's worth emphasizing profits notably more favorable when employing signed distance method graded mean integration method, especially situations marked highlights importance considering sensitive model, Such require careful attention pursuit effective strategies mitigate