基于投影和交叉熵的Picture模糊多属性群决策方法
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Projection and Cross Entropy for Picture Fuzzy Multiple Attributes Group Decision Making
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    摘要:

    针对方案属性值为Picture模糊数(Picture fuzzy numbers,PFN)的多属性群决策(multiple attributes group decision making,MAGDM)问题,提出一种基于投影法和交叉熵的Picture模糊多属性群决策方法。将投影法引入Picture模糊多属性群决策中求出专家的权重,利用交叉熵求出各专家对应的各方案与理想方案的加权对称差异信息测度值,然后根据专家权重对其进行集结求出各方案与理想方案的加权对称差异信息测度值进而排序得出最优方案。最后通过ERP系统的选择表明了该方法的可行性和有效性。

    Abstract:

    According to the problem of multiple attributes group decision making, in which the attribute values are given in terms of picture fuzzy numbers, a picture fuzzy multiple attributes group decision making model based on projection and cross entropy was established. The projection was introduced into the picture fuzzy multiple attributes group decision making to find the weights of the experts. The weighted symmetric discrimination information measure for PFSs of each alternative corresponding to each expert and the ideal alternative were obtained by using cross entropy, then according to the weight of the experts, the weighted symmetric discrimination information measure values of each alternative and the ideal alternative were assembled. The optimal alternative is obtained. Finally, an example is given to illustrate the practicality and effectiveness of the proposed method.

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李亚娟,范建平,吴美琴.基于投影和交叉熵的Picture模糊多属性群决策方法[J].科技和产业,2025,25(10):18-24

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  • 在线发布日期: 2025-06-06
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