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Research Of The Methods About Fuzzy Coefficient Linear Programming

Posted on:2011-10-17Degree:MasterType:Thesis
Country:ChinaCandidate:P J ZhangFull Text:PDF
GTID:2230330395457691Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, a type of the fuzzy linear programming is discussed. This type of fuzzy linear programming has clear objective factors but fuzzy constrait factors. The problem of ranking the fuzzy numbers is the basic problem of fuzzy linear programming. The problem of ranking the fuzzy numbers is studied fistly, and then the methods of solving the fuzzy coefficient linear programming is studied. The main content are as following.1. In this paper, two new methods of ranking the fuzzy numbers are given. They are the method based on distance and the method based on function. The two methods do not violate the order of nature, have good nature and also applies to the mixture fuzzy numbers.2. Fuzzy numbers are converted into ordinary real by using the new methods of ranking the fuzzy numbers so that fuzzy coefficient linear programming can be converted into a certain type of linear programming, and then the optimal solution and the optimal value of the certain type of linear programming can be impetrated by using the simplexmethod. Thereby the optimal solution and the optimal value of the fuzzy coefficient linear programming. Simulation experiment indicates the effect of the algorithms.
Keywords/Search Tags:fuzzy coefficient linear programming, fuzzy sets, fuzzy numbers, ranking
PDF Full Text Request
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