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基于OWA算子的群决策信息的灵敏度分析算法
引用本文:黄思明,谢安世.基于OWA算子的群决策信息的灵敏度分析算法[J].数学的实践与认识,2012,42(21):238-245.
作者姓名:黄思明  谢安世
作者单位:1. 中国科学院科技政策与管理科学研究所,北京,100190
2. 中国科学院科技政策与管理科学研究所,北京100190;中国科学院研究生院,北京100039
摘    要:针对基于OWA算子的群决策信息进行了灵敏度分析,在此基础上,给出了一种评价信息扰动范围的计算模式,能够有效地确定评价矩阵参数变动的边界,从而保持初始决策方案排序结果的稳定,为决策者进行决策提供了量化的科学依据,也为方案排序稳定性分析提供了一种有效的方法.最后,通过一个算例的代数逻辑演算,结合Matlab仿真平台,验证了给出的分析方法的有效性与可行性.

关 键 词:群决策  OWA算子  灵敏度分析  排序稳定性

Algorithm for Sensitivity Analysis of Group Decision Making Based on OWA Operators
HUANG Si-ming , XIE An-shi.Algorithm for Sensitivity Analysis of Group Decision Making Based on OWA Operators[J].Mathematics in Practice and Theory,2012,42(21):238-245.
Authors:HUANG Si-ming  XIE An-shi
Institution:1,2) (1.Institute of Policy and Management,Chinese Academy of Sciences,Beijing 100190,China) (2.Graduate School,Chinese Academy of Sciences,Beijing 100039,China)
Abstract:With respect to the conclusion of a group decision making method based on OWA(ordered weighted averaging) operators,the sensitivity analysis of group decision making information was discussed.A computing formula evaluating the variation range of score information was proposed,which can effectively evaluate the score variation boundary and maintain the stability of former schemes ranking.Building on Matlab simulation platform,an exemplification was given numerically to verify the paradigm proposed.
Keywords:group decision-making  OWA operator  sensitivity analysis  stability of schemes ranking
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