一种基于连续区间直觉模糊Theil测度的多属性群决策方法
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An Approach to Multiple Attribute Group Decision Making Based on the Continuous IntervalValued Intuitionistic Fuzzy Theil Measure
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    摘要:

    针对区间直觉模糊信息的不确定性,提出了一种基于连续区间直觉模糊Theil(CIVIFT)测度的多属性群决策方法。首先基于连续区间直觉模糊有序加权平均(CIVIFOWA)算子定义了连续区间直觉模糊Theil测度,并研究该测度的一些性质;其次,构建以CIVIFT测度偏差最小化为目标的最优化模型用以确定专家权重和属性权重,进而得到不同方案的综合属性值,并利用相似性函数和精确函数对方案进行排序;最后,通过ERP软件择优实例说明提出的决策方法的合理性和有效性。

    Abstract:

    With respect to the uncertainty of intervalvalued intuitionistic fuzzy information, an approach to multiple attribute group decision making on the basis of continuous intervalvalued intuitionistic fuzzy Theil (CIVIFT) measure is investigated. Firstly, a CIVIFT measure based on the continuous intervalvalued intuitionistic fuzzy ordered weighted averaging (CIVIFOWA) operator is introduced, some desirable properties are discussed as well. Then, two programming models are constructed to derive the optimal weights of experts and attributes with the principle of minimum CIVIFT measure deviation. Moreover, similarity function and exact function are provided to rank the collective attribute values of alternatives. Finally, an example related to ERP software selection is provided to illustrate the feasibility and effectiveness of the proposed approach.

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罗敏, 张志, 周晗, 吴群, 陶志富.一种基于连续区间直觉模糊Theil测度的多属性群决策方法[J].重庆工商大学学报(自然科学版),2017,34(3):56-64
LUO Min, ZHANG Zhi, ZHOU Han, WU Qun, TAO Zhifu. An Approach to Multiple Attribute Group Decision Making Based on the Continuous IntervalValued Intuitionistic Fuzzy Theil Measure[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2017,34(3):56-64

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  • 在线发布日期: 2017-05-24
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