区间直觉梯形模糊几何Bonferroni平均算子及其应用
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Interval-valued Intuitionistic Trapezoidal Fuzzy Geometric Bonferroni Means and Its Application
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    摘要:

    研究了决策信息为区间直觉梯形模糊数且属性间存在相互关联的多属性群决策问题,提出一种基于区间直觉梯形模糊几何加权Bonferroni平均算子的决策方法.基于区间梯形直觉模糊数的运算法则和几何Bonferroni平均算子,定义了区间直觉梯形模糊几何Bonferroni平均算子及其加权算子.给出了这些算子的一些性质,建立基于区间直觉梯形模糊几何加权Bonferroni平均算子的多属性群决策模型.最后,将该方法应用在供应商选择的群决策问题中,结果表明了该方法的有效性与可行性.

    Abstract:

    For solving multiple attributes group decision-making (MAGDM) problems where attribute values are in the form of interval-valued intuitionistic trapezoidal fuzzy numbers and attributes are associated with each other,an approach was proposed based on interval-valued intuitionistic trapezoidal fuzzy geometric weighted Bonferroni means (IVITFGWBM) operator.The concepts of interval-valued intuitionistic trapezoidal fuzzy numbers were introduced,and interval-valued intuitionistic trapezoidal fuzzy geometric Bonferroni means(IVITFGBM) operator and IVITFGWBM operator were defined based on operational laws and Bonferroni means operator.Meanwhile,the related properties were analysed,then a model of multi-attribute group decision making was constructed based on IVITFGWBM operator,which was for making decisions combined with sort methods.The approach was further applied in group decision-making problems of supplier selection,and the results show that the developed approach is feasible and effective.

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周晓辉,姚俭.区间直觉梯形模糊几何Bonferroni平均算子及其应用[J].上海理工大学学报,2014,36(5):461-468.

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  • 收稿日期:2013-12-25
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  • 在线发布日期: 2014-12-02
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