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基于集对分析的模糊综合评判
引用本文:姜军,宋保维,潘光,王鹏.基于集对分析的模糊综合评判[J].西北工业大学学报,2007,25(3):421-424.
作者姓名:姜军  宋保维  潘光  王鹏
作者单位:西北工业大学,航海学院,陕西,西安,710072
摘    要:集对分析是一种应用于方案决策的定性与定量相结合的方法。模糊综合评判是利用模糊集理论进行综合评价的一种方法。一般的模糊评判方法定性与定量结合时,如果量化细微,不仅增加计算工作量,而且也会与其模糊性相悖,导致评定结果可信度的降低;如果量化粗糙,亦会导致评定结果可信度的降低;模糊隶属函数的确定本身就是模糊数学理论在工程中应用的难点。结合集对分析方法和模糊综合方法对事物进行综合评判,能够真实反映研究对象的状况,具有很好的工程应用价值。

关 键 词:集对分析  模糊综合评判  联系度  评判矩阵
文章编号:1000-2758(2007)03-0421-04
修稿时间:2006-06-29

A Novel Method for Fuzzy Comprehensive Evaluation Based on Set Pair Analysis
Jiang Jun,Song Baowei,Pan Guang,Wang Peng.A Novel Method for Fuzzy Comprehensive Evaluation Based on Set Pair Analysis[J].Journal of Northwestern Polytechnical University,2007,25(3):421-424.
Authors:Jiang Jun  Song Baowei  Pan Guang  Wang Peng
Abstract:In the application of fuzzy comprehensive evaluation,it is quite difficult to build membership function.In order to avoid determining membership function in fuzzy comprehensive evaluation,a novel method,called fuzzy comprehensive evaluation method based on set pair analysis(SPA),is presented.In set pair analysis,an uncertain system is described by only three states: identity,discrepancy and contrariness.In our method,we use connection degree matrix of SPA instead of membership degree matrix in fuzzy comprehensive evaluation.We first build the set pair connection degree matrix of the main indexes of the evaluated system;then the connection degree matrix is obtained;finally,fuzzy comprehensive evaluation is carried out based on the connection degree matrix.An example is used for analysis with our method;the results show that our method is much more simple than fuzzy comprehensive evaluation,and that it is an effective method for evaluation and comparison of several similar uncertain systems or different design schemes of a system.
Keywords:SPA(set pair analysis)  fuzzy comprehensive evaluation  connection degree  evaluation matrix
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