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Fuzzy MCDM Based on Fuzzy Relational Degree Analysis
作者姓名:Song Yexin Dept. of Basic Courses  Naval University of Engineering  Wuhan  P.R.China Chen Mianyun Dept. of Control Science and Engineering  Huazhong University of Science and Technology  Wuhan  P.R.China
作者单位:Song Yexin Dept. of Basic Courses,Naval University of Engineering,Wuhan 430033,P.R.China Chen Mianyun Dept. of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,P.R.China
基金项目:ThisprojectwassupportedbytheNationalNaturalScienceFoundationofChina (No .79970 0 2 5 )
摘    要:1 .INTRODUCTIONFuzzymultiplecriteriadecision making (MCDM)isanactiveresearchtopicindecisionscience,systemsengi neering ,managementscienceandresearch .ThekeytosolvingfuzzyMCDMishowtorankalternativesinafuzzyenvironment.Manyresearchershaveinvestigatedtheuseoff…


Fuzzy MCDM Based on Fuzzy Relational Degree Analysis
Song Yexin Dept. of Basic Courses,Naval University of Engineering,Wuhan ,P.R.China Chen Mianyun Dept. of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan ,P.R.China.Fuzzy MCDM Based on Fuzzy Relational Degree Analysis[J].Journal of Systems Engineering and Electronics,2002,13(1).
Authors:Song Yexin  Chen Mianyun
Abstract:This paper presents a new fuzzy multiple criteria (both qualitative and quantitative) decision making (MCDM) method based on fuzzy relational degree analysis. The concepts of fuzzy set theory are used to construct a weighted suitability decision matrix to evaluate the weighted suitability of different alternatives versus various criteria. The positive ideal solution and negative ideal solution are then obtained by using a method of ranking fuzzy numbers, and the fuzzy relational degrees of different alternatives versus positive ideal solution and negative ideal solution are calculated by using the proposed arithmetic. Finally, the relative relational degrees of various alternatives versus positive ideal solution are ranked to determine the best alternative. A numerical example is provided to illustrate the proposed method at the end of this paper
Keywords:Fuzzy MCDM  Trapezoidal fuzzy numbers  Fuzzy relational degree analysis  Ranking alternatives  
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