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构建不确定语言型多属性决策的投影模型
引用本文:徐新清,徐敏祥,程钧谟.构建不确定语言型多属性决策的投影模型[J].数学的实践与认识,2009,39(10).
作者姓名:徐新清  徐敏祥  程钧谟
作者单位:1. 山东万杰医学院,教务处,山东,淄博,255213
2. 山东理工大学,管理学院,山东,淄博,255049
摘    要:研究不确定语言型多属性决策评价结果与决策者对方案的偏好信息之间存在偏差的问题.通过建立与区间型语言标度对应的术语指标矩阵,及方案综合属性值与决策者主观偏好值之间的投影模型,确定属性的权重,然后运用加权法得到方案的综合属性值,利用已有的可能度矩阵排序公式得到决策方案的排序.构建了一种基于方案综合属性质与决策者主观偏好值之间的投影模型,通过算例对该方法的实用性和有效性进行了证明.

关 键 词:不确定多属性决策  信息评估标度  术语指标  投影模型

A Projection Model Based on Linguistic Term Indices in Uncertain Linguistic Multi-attribute Decision Making
XU Xin-qing,XU Min-xiang,CHENG Jun-mo.A Projection Model Based on Linguistic Term Indices in Uncertain Linguistic Multi-attribute Decision Making[J].Mathematics in Practice and Theory,2009,39(10).
Authors:XU Xin-qing  XU Min-xiang  CHENG Jun-mo
Institution:XU Xin-qing1,XU Min-xiang1,CHENG Jun-mo2 (1. Office of Academic Affairs,Wanjie Medical College,Zibo 255213,China) (2. College of Management,Shandong University of Technology,Zibo 255049,China)
Abstract:The uncertain linguistic multi-attribute decision making (ULMADM) problems are investigated, in which the evaluated result is abhorrent with the decision maker reference information. A method based on projection model for ULMADM is proposed. Building the term indices matrix corresponding with linguistic evaluation scale and the projection model between the overall values of alternatives and the decision maker reference information,the method obtains the determinate attribute weights. By using the WAA, the o...
Keywords:uncertain multi-attribute decision making  linguistic evaluation scale  term indices  projection model  
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