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

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International Journal of Computer Applications
© 2012 by IJCA Journal
Volume 52 - Number 7
Year of Publication: 2012
Authors:
S. Mohanaselvi
K. Ganesan
10.5120/8216-1636

S Mohanaselvi and K Ganesan. Article: Fuzzy Pareto-optimal Solution to Fully fuzzy Multi Objective Linear Programming Problem. International Journal of Computer Applications 52(7):29-33, August 2012. Full text available. BibTeX

@article{key:article,
	author = {S. Mohanaselvi and K. Ganesan},
	title = {Article: Fuzzy Pareto-optimal Solution to Fully fuzzy Multi Objective Linear Programming Problem},
	journal = {International Journal of Computer Applications},
	year = {2012},
	volume = {52},
	number = {7},
	pages = {29-33},
	month = {August},
	note = {Full text available}
}

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.

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