학술논문
AN ITERATIVE APPROACH FOR FUZZY MULTI OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM
Document Type
Academic Journal
Author
Source
Journal of Applied and Engineering Mathematics. September, 2023, Vol. 13 Issue 4, p1383, 13 p.
Subject
Language
English
ISSN
2146-1147
Abstract
In this paper, we introduce an iterative method for the solution of fully fuzzy single and multi objective linear fractional programming problems with out converting them into equivalent crisp forms. By introducing fuzzy target and the fuzzy tolerance limit for each objective of the given fuzzy multi objective linear fractional programming problem (FMOLFPP), the given FMOLFPP is reduced to an equivalent single objective non-fractional fuzzy linear programming problem (NFLPP). Then the fuzzy optimal solution of the reduced NFLPP is obtained which inturn provides the Pareto optimal solution of the given FMOLFPP. Numerical examples are provided to illustrate the efficiency of the proposed method. Keywords:Fuzzy number, fuzzy ranking, fuzzy arithmetic, fuzzy fractional programming(FFP), fuzzy target, fuzzy tolerance limit, Pareto optimal. AMS Subject Classification: 03E72, 90C32, 90C05, 90C70.
1. INTRODUCTION Linear fractional programming problems(LFPP) are very important in solving real world problems. It plays a major role in corporate companies, institutions, hospitals, financial managements and transportation planning. Linear [...]
1. INTRODUCTION Linear fractional programming problems(LFPP) are very important in solving real world problems. It plays a major role in corporate companies, institutions, hospitals, financial managements and transportation planning. Linear [...]