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粗糙集与层次分析法集成的综合评价模型
引用本文:钟嘉鸣,李订芳.粗糙集与层次分析法集成的综合评价模型[J].武汉大学学报(工学版),2008,41(4).
作者姓名:钟嘉鸣  李订芳
作者单位:1. 湘南学院网络中心,湖南,郴州,423000;武汉大学数学与统计学院,湖北,武汉,430072
2. 武汉大学数学与统计学院,湖北,武汉,430072
基金项目:国家自然科学基金,湖南省教育厅科研项目
摘    要:为充分吸收主观赋权评价法和客观赋权评价法两类方法的优点,同时又能克服各自的缺陷,实现二者的优势互补,以层次分析法确定主观权重、粗糙集方法确定客观权重,然后将主、客观权重进行有机集成,得到组合权重的最优解,在此基础上建立对象的评价值公式,从而得到基于组合权重的综合评价模型.最后在教学质量综合评价的实例分析中,首先用层次分析法建立教学质量综合评价指标体系,用粗糙集理论进行指标体系的简化,然后应用所得的综合评价模型进行对象的综合评价,结果表明该方法是有效的.

关 键 词:综合评价  粗糙集  层次分析法  权重

Comprehensive evaluation model integrated based on rough set and analytic hierarchy process
ZHONG Jiaming,LI Dingfang.Comprehensive evaluation model integrated based on rough set and analytic hierarchy process[J].Engineering Journal of Wuhan University,2008,41(4).
Authors:ZHONG Jiaming  LI Dingfang
Abstract:In order to totally Absorb the advantages of subjective weight determining evaluation and objective weight determining evaluation,overcome the weaknesses and realize the complementary advantages,analytic hierarchy process(AHP) is used to determine subjective weight;rough set method is used to determine objective weight.Then subjective and objective weights will be organically integrated;from which we get the optimal solution of combination weight;based on which,evaluation formula of objects is formed;and comprehensive evaluation model based on combination weight is acquired.In the final model analysis of teaching quality comprehensive evaluation,teaching quality comprehensive evaluation index system is formed by analytic hierarchy process;and index system is simplified by rough set theorem at first,then objects will be comprehensive evaluated through the comprehensive evaluation model we've got;from which the result illustrates the effectiveness of this method.
Keywords:comprehensive evaluation  rough set  analytic hierarchy process  weight
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