Some New Results in Linear Programming Problems with Fuzzy Cost Coefficients

Some New Results in Linear Programming Problems with Fuzzy Cost Coefficients

The fuzzy primal simplex method proposed by Mahdavi-Amiri et al. and the fuzzy dual simplex method proposed by SH Nasseri and A Ebrahimnejad are two current procedures for solving linear programming problems with fuzzy cost coefficients known as reduced fuzzy numbers linear programming (RFNLP) probl...

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Main Author: Ali EBRAHIMNEJAD
Format: Article
Language:English
Published: Walailak University 2013-03-01
Series:Walailak Journal of Science and Technology
Subjects:
Fuzzy numbers linear programming
fuzzy primal simplex algorithm
fuzzy dual simplex algorithm
trapezoidal fuzzy number
Online Access:http://wjst.wu.ac.th/index.php/wjst/article/view/424
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spelling doaj-38b5aead0e1642a788539e2d065b66aa2020-11-25T01:15:33ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2013-03-0110210.2004/wjst.v10i2.424287Some New Results in Linear Programming Problems with Fuzzy Cost CoefficientsAli EBRAHIMNEJAD0Department of Mathematics, Islamic Azad University, Qaemshahr Branch, QaemshahrThe fuzzy primal simplex method proposed by Mahdavi-Amiri et al. and the fuzzy dual simplex method proposed by SH Nasseri and A Ebrahimnejad are two current procedures for solving linear programming problems with fuzzy cost coefficients known as reduced fuzzy numbers linear programming (RFNLP) problems. In this paper, we prove that in the absence of degeneracy these fuzzy methods stop in a finite numbers of iterations. We also prove the fundamental theorem of linear programming in a crisp environment to a fuzzy one. Finally, we illustrate our proof by use of a numerical example.http://wjst.wu.ac.th/index.php/wjst/article/view/424Fuzzy numbers linear programmingfuzzy primal simplex algorithmfuzzy dual simplex algorithmtrapezoidal fuzzy number
collection DOAJ
language English
format Article
sources DOAJ
author Ali EBRAHIMNEJAD
spellingShingle Ali EBRAHIMNEJAD
Some New Results in Linear Programming Problems with Fuzzy Cost Coefficients
Walailak Journal of Science and Technology
Fuzzy numbers linear programming
fuzzy primal simplex algorithm
fuzzy dual simplex algorithm
trapezoidal fuzzy number
author_facet Ali EBRAHIMNEJAD
author_sort Ali EBRAHIMNEJAD
title Some New Results in Linear Programming Problems with Fuzzy Cost Coefficients
title_short Some New Results in Linear Programming Problems with Fuzzy Cost Coefficients
title_full Some New Results in Linear Programming Problems with Fuzzy Cost Coefficients
title_fullStr Some New Results in Linear Programming Problems with Fuzzy Cost Coefficients
title_full_unstemmed Some New Results in Linear Programming Problems with Fuzzy Cost Coefficients
title_sort some new results in linear programming problems with fuzzy cost coefficients
publisher Walailak University
series Walailak Journal of Science and Technology
issn 1686-3933
2228-835X
publishDate 2013-03-01
description The fuzzy primal simplex method proposed by Mahdavi-Amiri et al. and the fuzzy dual simplex method proposed by SH Nasseri and A Ebrahimnejad are two current procedures for solving linear programming problems with fuzzy cost coefficients known as reduced fuzzy numbers linear programming (RFNLP) problems. In this paper, we prove that in the absence of degeneracy these fuzzy methods stop in a finite numbers of iterations. We also prove the fundamental theorem of linear programming in a crisp environment to a fuzzy one. Finally, we illustrate our proof by use of a numerical example.
topic Fuzzy numbers linear programming
fuzzy primal simplex algorithm
fuzzy dual simplex algorithm
trapezoidal fuzzy number
url http://wjst.wu.ac.th/index.php/wjst/article/view/424
work_keys_str_mv AT aliebrahimnejad somenewresultsinlinearprogrammingproblemswithfuzzycostcoefficients
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