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Fuzzy Pareto-optimal Solution to Fully fuzzy Multi Objective Linear Programming Problem

by S. Mohanaselvi, K. Ganesan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 52 - Number 7
Year of Publication: 2012
Authors: S. Mohanaselvi, K. Ganesan
10.5120/8216-1636

S. Mohanaselvi, K. Ganesan . Fuzzy Pareto-optimal Solution to Fully fuzzy Multi Objective Linear Programming Problem. International Journal of Computer Applications. 52, 7 ( August 2012), 29-33. DOI=10.5120/8216-1636

@article{ 10.5120/8216-1636,
author = { S. Mohanaselvi, K. Ganesan },
title = { Fuzzy Pareto-optimal Solution to Fully fuzzy Multi Objective Linear Programming Problem },
journal = { International Journal of Computer Applications },
issue_date = { August 2012 },
volume = { 52 },
number = { 7 },
month = { August },
year = { 2012 },
issn = { 0975-8887 },
pages = { 29-33 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume52/number7/8216-1636/ },
doi = { 10.5120/8216-1636 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:51:40.927813+05:30
%A S. Mohanaselvi
%A K. Ganesan
%T Fuzzy Pareto-optimal Solution to Fully fuzzy Multi Objective Linear Programming Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 52
%N 7
%P 29-33
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper proposes a new algorithm for the solution of fully fuzzy Multi objective linear programming problems involving triangular fuzzy number without converting them to equivalent classical problems. Based on the fuzzy ideal and fuzzy negative ideal solution of each single fuzzy objective function we propose an algorithm which provides a fuzzy Pareto-optimal solution for the given fully fuzzy multi objective linear programming problem. By the proposed method, the Decision Maker will have the flexibility of choosing r ? [0,1] depending upon the situation and can obtain an improved fuzzy Pareto optimal solution. A numerical example is provided to illustrate the theory developed in this paper.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Triangular fuzzy number Fuzzy ranking Fuzzy arithmetic Fuzzy Multi objective linear programming problem

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