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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
  1. Abbasbandy. S and Hajjari. T, A new approach for ranking of trapezoidal fuzzy numbers, Computers and Mathematics with Applications, 57, 413–419, (2009).
  2. Bellman, R. E and Zadeh, L. A. , Decision-making in fuzzy environment, Management sciences, 17(4) (1970), 141-164.
  3. Buckley. J. J et al Monto carlo Method in Fuzzy Optimization, Springer-verlang Berline Heidelberg ,STUDFUZZ 22, 81-88, 2008.
  4. H. K. Chen, H. W. Chou, Solving multiobjective linear programming problem – a generic approach, Fuzzy sets and systems, 82 (1996) 35-38.
  5. Feyzan Arikan, Zulal Gungor, A two phase approach for multi-objective programming problems with fuzzy coefficients, Information sciences, 177(2007), 5191-5202.
  6. Hiroaki kuwano, On the fuzzy multi-objective linear programming problem: Goal programming approach, Fuzzy sets and systems, 82 (1996), 57-64.
  7. Y. J. Lai and C. L. Hwang, Fuzzy Multiple Objective Decision Making, Lecture Notes in Economics and Mathematical systems, Vol. 404 (springer,Berlin, 1994).
  8. Miao-Ling Wang, Finding the nondominated solution set of a fuzzy multiobjective linear program by using fuzzy ranking method, Ming Hsin Journal,Volume 31,(2005),137-145.
  9. Ming Ma, Menahem Friedman, Abraham kandel, A new fuzzy arithmetic, Fuzzy sets and systems,108,83-90,(1999).
  10. S. Mohanaselvi and K. Ganesan, Fully Fuzzy linear programs with triangular fuzzy number, International journal of Mathematical Archieve, 3(5),(2012),1838-1845.
  11. Omar Mohamed saad, Stability on multi objective linear programming problem with fuzzy parameters, Fuzzy sets and systems, 74 (1995), 207-215.
  12. Xue-quan Li, Bo Zhang, Hui Li, Computing efficient solutions to fuzzy multiple objective linear programming problems, Fuzzy sets and system,157(2006),1328-1332.
  13. Zimmermann H. J. , Fuzzy programming and linear programming with several objective functions, Fuzzy sets and systems, 1(1978), 45-55.
Index Terms

Computer Science
Information Sciences

Keywords

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

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