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确定概率条件下风险型多属性消错决策方法

Risk Multi-attribute Error-Eliminating Decision-making Method Under the Condition of Certain Probability

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【作者】 黄灏然骆达荣郭开仲

【Author】 HUANG Hao-ran;LUO Da-rong;GUO Kai-zhong;Zhongkai University of Agriculture and Engineering;Guangdong University of Technology;

【机构】 仲恺农业工程学院信息科学与技术学院广东工业大学管理学院

【摘要】 以确定概率条件下风险型多属性决策问题为研究对象.根据消错理论提出了错误值、极限损失值等概念,以效益矩阵为基础建立起正负理想矩阵和错误值矩阵,以正负理想矩阵为基础构建极限损失矩阵,以错误值矩阵、属性权重和极限损失矩阵为基础构建综合错误损失矩阵.接着根据期望理论,利用综合错误损失矩阵求取期望错误损失向量,并以此作为策略选择的根据.最后通过实例证明了研究的有效性和可行性.

【Abstract】 This article is explaining risk multi-attribute decision-making problem with certain probability,the concept of error-value and limit-loss-value were given on the base of ErrorEliminating theory;positive ideal matrix,negative ideal matrix and error-value matrix were built on the base of beneficial matrix,limit-loss matrix was built on the base of positive and negative ideal matrix,comprehensive-error-lost matrix was built on the base of error-value matrix,limit-loss matrix and attribute weights.Finally,expectation error-lost vector was built by the expectation theories and comprehensive-error-lost matrix,which is used as the basis of strategy choice.The feasibility and effectiveness of this model has been shown by an illustrate example.

【基金】 国家科学技术学术著作出版基金(201086);广州市软科学研究专项资助项目(2011J1300013)
  • 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2014年04期
  • 【分类号】O211.67
  • 【被引频次】6
  • 【下载频次】127
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