A Novel Ranking Approach for Solving Fully Fuzzy Linear Fractional Programming Problem via Pentagonal Fuzzy Number

Abstract

Fuzzy programming comes in handy when dealing with unclear coefficients. Various methods have emerged recently to tackle ambiguity effectively. This article introduces a novel ranking function approach that leverages numbers to address fully fuzzy fractional linear programming (FFLFP) challenges. The process involves a membership function, for fuzzy numbers and a new solving technique for FFLFP. Subsequently changing the FFLFP problem into a fully fuzzy linear programming (FLFP) issue using a proposed method we apply arithmetic operations on pentagonal integers to update the simplex table iteratively until reaching the optimal fuzzy solution. An illustrative arithmetical example is provided to demonstrate the phases involved the result of solution, for the given problem.