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计算机工程

• 人工智能及识别技术 • 上一篇    下一篇

语言型群决策中群体一致性赋权优化模型研究

石 莉1,黄 克1,孙 刚 2,闻 波1   

  1. (1. 淮北师范大学计算机科学与技术学院,安徽淮北235000; 2. 阜阳师范学院计算机与信息工程学院,安徽阜阳236037)
  • 收稿日期:2015-02-03 出版日期:2015-06-15 发布日期:2015-06-15
  • 作者简介:石 莉(1978 - ),女,博士、CCF 会员,主研方向:多属性决策理论与应用,智能优化算法;黄 克(通讯作者),硕士;孙 刚, 博士;闻 波,讲师。
  • 基金资助:

    国家自然科学基金资助项目(61300048);安徽省高校自然科学基金资助项目(KJ2014B22,1308085QF117);安徽省高校社科基金资助项目(2014SK18);安徽省教育厅优秀青年人才基金资助项目(2012sqrl224);淮北市科技局人才培育计划基金资助项目 (20140320)。

Research on Weight Optimization Model with Group Consistency for Linguistic Group Decision Making

SHI Li 1,HUANG Ke 1,SUN Gang 2,WEN Bo 1   

  1. (1. School of Computer Science and Technology,Huaibei Normal University,Huaibei 235000,China; 2. School of Computer and Information Engineering,Fuyang Teachers College,Fuyang 236037,China)
  • Received:2015-02-03 Online:2015-06-15 Published:2015-06-15

摘要:

语言评价矩阵一致性分析和专家客观权重确定是语言型多属性群决策中的2 个重要问题,将两者视为一个整体进行研究。基于语言评价矩阵偏差度概念对评价矩阵一致度进行定义和度量,结合群体一致性最优思想和智能优化算法,构建基于语言型决策矩阵的专家客观权重赋权优化模型并给出求解方法,在此基础上提出基于客观权重的语言型多属性群决策方法。通过实例分析说明该模型得到的专家客观权重满足一致性条件。

关键词: 群决策, 语言评价矩阵, 一致性分析, 专家客观权重, 赋权优化模型

Abstract:

The consistency analysis of linguistic assessment matrix and determination of objective weight of expert are two important problems for linguistic multiple attribute group decision making,which are studied as a whole in this paper. The consistency of linguistic assessment matrix is defined based on the concept of deviation of assessment matrix. Combining the optimization idea of group consistency,a weight optimization model based on linguistic decision matrix is constructed and the numerical solution of optimization model is presented. And a method of linguistic multiple attribute group decision making based on objective weight of expert is put forward. The proposed method is illustrated that the objective weights of experts obtain satisfactory consistency through a case study.

Key words: group decision making, linguistic assessment matrix, consistency analysis, objective weight of expert, weight optimization model

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