基于直觉语言集结算子的多准则决策方法
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1. 中南大学商学院
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作者简介:

王坚强

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;国家自然科学基金项目


Multi-criteria decision-making method based on aggregation operators for intuitionistic linguistic fuzzy numbers
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    摘要:

    定义了直觉语言数及其运算法则、期望值、得分函数和精确
    函数以及直觉语言加权算术平均算子和加权几何平均算子.针对准则值为
    直觉语言数的多准则决策问题,~提出了一种基于直觉语言集结算子的决策方法.~该方法利
    用集结算子对准则进行集成,~得到各方案的综合直觉语言数,~通过比较各方案综合直觉
    语言数的得分函数值和精确函数值得到方案集的排序.~实例分析表明了该方法的有效性和可行性.

    Abstract:

    Intuitionistic linguistic fuzzy
    numbers, as well as their operational laws, expected values, score
    function and accuracy function are defined. Some intuitionistic
    linguistic fuzzy aggregation operators are proposed, including weighted
    arithmetic averaging operator and weighted geometric averaging
    operator. For fuzzy multi-criteria decision making
    problems, in which the criteria values are intuitionistic linguistic
    fuzzy numbers, an approach based on intuitionistic linguistic fuzzy
    aggregation operators is proposed. By using these aggregation
    operators, criteria values are aggregated and integrated
    intuitionistic linguistic fuzzy numbers of alternatives are
    attained. By comparing score function and accuracy function values
    of integrated fuzzy numbers, a ranking of the whole alternative set
    can be attained. Analysis of an example shows the feasibility and
    effectiveness of the method.

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引用本文

王坚强 李寒波.基于直觉语言集结算子的多准则决策方法[J].控制与决策,2010,25(10):1571-1574

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历史
  • 收稿日期:2009-09-01
  • 最后修改日期:2009-10-29
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  • 在线发布日期: 2010-10-20
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