Application of a Fuzzy Programming Technique to Production Planning in the Textile Industry

TL;DR

This paper presents a fuzzy linear programming approach with logistic membership functions to optimize production planning and profit in the textile industry, addressing the challenge of linguistic parameters in engineering problems.

Contribution

It introduces a method for solving fuzzy linear programming problems with logistic membership functions applied to textile production planning.

Findings

Effective determination of production quotas and profit estimates.

Demonstrates applicability of fuzzy programming in textile industry.

Provides a numerical example validating the method.

Abstract

Many engineering optimization problems can be considered as linear programming problems where all or some of the parameters involved are linguistic in nature. These can only be quantified using fuzzy sets. The aim of this paper is to solve a fuzzy linear programming problem in which the parameters involved are fuzzy quantities with logistic membership functions. To explore the applicability of the method a numerical example is considered to determine the monthly production planning quotas and profit of a home textile group.