THE MULTI-ATTRIBUTE GROUP DECISION MAKING METHOD BASED ON THE INTERVAL GREY LINGUISTIC VARIABLES WEIGHTED HARMONIC AGGREGATION OPERATORS

THE MULTI-ATTRIBUTE GROUP DECISION MAKING METHOD BASED ON THE INTERVAL GREY LINGUISTIC VARIABLES WEIGHTED HARMONIC AGGREGATION OPERATORS
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DOI:
10.3846/20294913.2013.821685
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发表时间:
2013-09-01
影响因子:
5.9
通讯作者:
Zhang, Xin
Zhang, Xin
中科院分区:
经济学3区
文献类型:
--
作者:
Jin, Fang;Liu, Peide;Zhang, Xin

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针对真实的世界中许多群决策问题具有模糊性、复杂性和不确定性的特点,提出了一种基于区间灰色语言变量混合加权调和集结算子的多属性群决策方法。该方法定义了区间灰色语言变量的相关概念和运算规则,提出了区间灰色语言加权调和集结(IGLWHA)算子、区间灰色语言有序加权调和集结(IGLOWHA)算子和区间灰色语言混合加权调和集结(IGLHWHA)算子等群决策算子。算例结果表明,该方法对群决策问题是可行和有效的。
With respect to the characteristics of fuzziness, complexity and uncertainty for many group-decision making problems in real world, the paper proposes a novel method based on the interval grey linguistic variables hybrid weighted harmonic aggregation operators to solve the multiple attribute group decision making problems in which the attribute values and the weights take the form of the interval grey linguistic variables. In the approach, the relative concepts and the operation rules of interval grey linguistic variables are defined, and some operators (such as interval grey linguistic weighted harmonic aggregation (IGLWHA) operator, interval grey linguistic ordered weighted harmonic aggregation (IGLOWHA) operator, and interval grey linguistic hybrid weighted harmonic aggregation (IGLHWHA) operator) are proposed to solve the group decision making problems. The computational results from an illustrative example have shown that the proposed approach is feasible and effective for the group-decision making problems.