运筹与管理 ›› 2018, Vol. 27 ›› Issue (1): 59-62.DOI: 10.12005/orms.2018.0010

• 理论分析与方法探讨 • 上一篇    下一篇

直觉模糊多属性的意见集中排序法

于瑞华, 成央金   

  1. 湘潭大学 数学与计算科学学院, 湖南 湘潭 411105
  • 收稿日期:2013-12-04 出版日期:2018-01-25
  • 作者简介:于瑞华(1991-),女,山东济宁人,硕士,学生,主要研究方向为模糊优化理论及其应用;杨柳,女,博士,副教授。
  • 基金资助:
    国家自然基金科学资金资助项目,“辐射流体不稳定性数值分析及高效数值方法研究”(11171281),负责人:李明军,男,博士,教授;国家自然科学青年基金“二阶随机占优约束优化问题的高效数值算法理论及应用”(11301445);湖南省教育厅优秀青年项目,“求解随机占优约束优化问题的数值算法研究”(13B121)

Attitudes Concentrated Order for Multiattribute Desion Making in Intuitionistic Fuzzy Set

YU Rui-hua, CHENG Yang-jin   

  1. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
  • Received:2013-12-04 Online:2018-01-25

摘要: 研究了属性权重信息不完全确定,属性值为直觉模糊集的多属性决策问题。首先根据直觉模糊数的得分函数和精确函数对决策矩阵中的评价值比较大小,进而按属性集中的每个属性对方案排成线性序;然后通过计算赋权模糊优先矩阵确定方案的优属度,建立规划模型确定属性的权重;再利用加权算术算子对方案集结,得到专家对方案的排序,从而得到一种新的意见集中排序的决策方法。数值实例说明该方法的有效性和实用性,可为解决直觉模糊多属性决策提供新方法

关键词: 直觉模糊集, 多属性决策, 意见集中排序, 线性序, 规划模型

Abstract: This paper discusses an intuitionsitic fuzzy multi-attribute decision-making problem, whose weights of attribute are not entirely sure. First, we compare the size of intuitionistic fuzzy value which belongs to the decision matrix on the basis of score function and accuracy function of intuitionistic fuzzy numbers, and arrange programs in the sequence according to every property. Then we determine the weights of the attribute by calculating the weighted fuzzy preference matrix and membership degree of project. We get the ranking results of the decision makers by using arithmetic weighted method of generating. A new method of attitudes concentrated order is obtained in this paper. A numerical example is examined to show that the method proposed in this paper is effective and practical, and thus, we give a new method for solving the multiple attribute decision making problems with intuitionistic fuzzy sets.

Key words: intuitionistic fuzzy set, multiattribute decision making, attitudes concentrated order, linear ordering, programming model

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