模糊代价系数线性规划问题的几个新结果

Q3 Multidisciplinary Walailak Journal of Science and Technology Pub Date : 2013-03-21 DOI:10.2004/WJST.V10I2.424

A. Ebrahimnejad

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引用次数: 3

摘要

Mahdavi-Amiri等人提出的模糊原始单纯形方法和SH Nasseri和A Ebrahimnejad提出的模糊对偶单纯形方法是目前解决具有模糊成本系数的线性规划问题的两种方法，称为模糊数线性规划(RFNLP)问题。在本文中，我们证明了在没有退化的情况下，这些模糊方法在有限次迭代中停止。将线性规划的基本定理在清晰环境下证明给模糊环境。最后，我们用一个数值例子来说明我们的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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) 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.

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来源期刊

Walailak Journal of Science and Technology Multidisciplinary-Multidisciplinary

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： The Walailak Journal of Science and Technology (Walailak J. Sci. & Tech. or WJST), is a peer-reviewed journal covering all areas of science and technology, launched in 2004. It is published 12 Issues (Monthly) by the Institute of Research and Innovation of Walailak University. The scope of the journal includes the following areas of research : - Natural Sciences: Biochemistry, Chemical Engineering, Chemistry, Materials Science, Mathematics, Molecular Biology, Physics and Astronomy. -Life Sciences: Allied Health Sciences, Biomedical Sciences, Dentistry, Genetics, Immunology and Microbiology, Medicine, Neuroscience, Nursing, Pharmaceutics, Psychology, Public Health, Tropical Medicine, Veterinary. -Applied Sciences: Agricultural, Aquaculture, Biotechnology, Computer Science, Cybernetics, Earth and Planetary, Energy, Engineering, Environmental, Food Science, Information Technology, Meat Science, Nanotechnology, Plant Sciences, Systemics