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Futher Study To Fuzzy Numbers And Fuzzy Linear Programming

Posted on:2014-06-21Degree:MasterType:Thesis
Country:ChinaCandidate:Z P ZhuFull Text:PDF
GTID:2250330425455561Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
This paper focuses mainly on three different types of fuzzy linear problems, fuzzycoefficient,fuzzy variable and full fuzzy, based on different fuzzy numbers processingmethods with different fuzzy models of optimal solution problems.The full text is divided into five chapters. The first chapter is an introduction,incl-uding a brief review of fuzzy mathematics and fuzzy linear programming in historicalbackground and development process, and cutting-edge trends.In chapter2,we introduce some basic theory concepts and theories in details,mainly including the concept of fuzzy number,operation properties and so on, whichhas laid a theoretical foundation for later research.In chapter3,we present some relevant background of the sequence of fuzzynumber and several method to ranking fuzzy number, mainly containing some specialfuzzy numbers, such as triangular fuzzy numbers and trapezoidal fuzzy numbers andso on.Chapter4,the main content of this thesis,refers to five parts.First introducing anfuzzy linear problems classification problem, and then emphasizing a traditional basicmethod to linear problems-tolerance method and possible method. Then this paperstudies three kinds of fuzzy numbers method to fuzzy linear problems, for differenttypes of fuzzy linear problems,we respectively adopted different sorting method indetail, and present a corresponding number of case studies.The fifth chapter is another topic of this paper. First, the planning is reviewed inthe linear problems duality type, the model is illustrated by a number of cases in thelinear programming dual problem which is also true, and we can get a similar nature,which provides the theoretical foundation for the future in research.Finally, we summary its work, pointing out the points for future research as wellas the points to be developed.
Keywords/Search Tags:Fuzzy Numbers, Fuzzy Variable, Ranking Criterion, Fuzzy LinearProgramming, Dual Programming
PDF Full Text Request
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