Using complementary slackness property to solve linear programming with fuzzy parameters

The most popular approach to handle the challenge of solving fuzzy linear programming problems is to convert the fuzzy linear programming into the corresponding deterministic linear programming. Mahdavi-Amiri and Nasseri [15,16] developed the fuzzy dual simplex algorithm to fuzzy linear programming...

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Bibliographic Details
Published in:Fuzzy information and engineering Vol. 1; no. 3; pp. 233 - 245
Main Authors: Ebrahimnejad, A., Nasseri, S. H.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer-Verlag 01.09.2009
Taylor & Francis Group
Subjects:
Algorithms
Computational Intelligence
Engineering
Linear programming
Mathematical programming
Original Article
Parameters
Simplex method
Fuzzy linear programming
Complementary slackness
Duality
Trapezoidal fuzzy numbers
ISSN:1616-8658, 1616-8666
Online Access:Get full text
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Summary:The most popular approach to handle the challenge of solving fuzzy linear programming problems is to convert the fuzzy linear programming into the corresponding deterministic linear programming. Mahdavi-Amiri and Nasseri [15,16] developed the fuzzy dual simplex algorithm to fuzzy linear programming with fuzzy parameters. In this paper, we use the complementary slackness to solve it without the need of a simplex tableau.
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ISSN:1616-8658
1616-8666
DOI:10.1007/s12543-009-0026-9