文章基本信息

标题：Some New Results in Linear Programming Problems with Fuzzy Cost Coefficients
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作者：Ali EBRAHIMNEJAD
期刊名称：Walailak Journal of Science and Technology (WJST)
印刷版ISSN：2228-835X
出版年度：2013
卷号：10
期号：2
页码：191-199
DOI：10.2004/wjst.v10i2.424
语种：English
出版社：Institute of Research and Development, Walailak University.
摘要：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.
关键词：Fuzzy numbers linear programming, fuzzy primal simplex algorithm, fuzzy dual simplex algorithm, trapezoidal fuzzy number