S. H. Nasseri, E. Ardil, A. Yazdani, Reza Zaefarian
{"title":"Simplex Method For Solving Linear Programming Problems With Fuzzy Numbers","authors":"S. H. Nasseri, E. Ardil, A. Yazdani, Reza Zaefarian","doi":"10.5281/ZENODO.1058184","DOIUrl":null,"url":null,"abstract":"The fuzzy set theory has been applied in many fields,\nsuch as operations research, control theory, and management\nsciences, etc. In particular, an application of this theory in decision\nmaking problems is linear programming problems with fuzzy\nnumbers. In this study, we present a new method for solving fuzzy\nnumber linear programming problems, by use of linear ranking\nfunction. In fact, our method is similar to simplex method that was\nused for solving linear programming problems in crisp environment\nbefore.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"5 1","pages":"513-517"},"PeriodicalIF":0.0000,"publicationDate":"2007-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"60","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.1058184","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 60
Abstract
The fuzzy set theory has been applied in many fields,
such as operations research, control theory, and management
sciences, etc. In particular, an application of this theory in decision
making problems is linear programming problems with fuzzy
numbers. In this study, we present a new method for solving fuzzy
number linear programming problems, by use of linear ranking
function. In fact, our method is similar to simplex method that was
used for solving linear programming problems in crisp environment
before.