A Simplified Approach to Solving Balanced Generalized Quadratic Fuzzy Transportation Problems

Abstract

The transportation model is a specialized linear programming problem aimed at optimizing the shipment of goods from several sources to different locations. The primary objective is to minimize total transportation costs while ensuring that the supply constraints at each source and the demand requirements at each destination, represented as quadratic fuzzy numbers, are satisfied. This paper introduces a novel approach for solving generalized quadratic fuzzy transportation problems using the Piecewise Quadratic Fuzzy Vogel’s Approximation Method (PQFVAM) and the Piecewise Quadratic Fuzzy Modified Distribution Method (PQFMODI)The proposed method is simple, relying on basic arithmetic and logical calculations with generalized quadratic fuzzy numbers, making it efficient and practical for real-world applications.