基于Maclaurin对称平均算子的图犹豫模糊多属性决策方法  被引量:1

Picture Hesitant Fuzzy Multi-attribute Decision-making Method with Maclaurin Symmetric Mean Operator

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作  者:俞弋峰 杨志辉 YUYi-feng;YANG Zhi-hui(School of Science,East China University of Technology,Nanchang 330013,China)

机构地区:[1]东华理工大学理学院,江西南昌330013

出  处:《模糊系统与数学》2022年第5期116-127,共12页Fuzzy Systems and Mathematics

基  金:国家自然科学基金资助项目(71762001,71961001);东华理工大学研究生创新基金资助项目(DHYC-202118)。

摘  要:针对属性间不完全独立的多属性决策问题,研究了基于图犹豫模糊加权Maclaurin对称平均算子的多属性决策问题。首先,引入Archimedean范数,定义了图犹豫模糊集的运算法则,提出图犹豫模糊Maclaurin对称平均算子和图犹豫模糊加权Maclaurin对称平均算子,并讨论其特性。其次,定义得分函数和精确函数,建立了基于图犹豫模糊加权Maclaurin对称平均算子的多属性决策模型,该模型可以根据风险偏好选择合适的参数进行决策,考虑了属性间的交互作用,能够降低属性值偏置对结果的负面影响,最大化地保留了决策信息的完整性。最后,通过算例验证了所提算子的有效性。Considering the multi-attribute decision making problem where the attributes are not completely independent,picture hesitant fuzzy multi-attribute decision-making method with Maclaurin symmetric weighted average operator is investigated in the paper.Firstly,we introduce the Archimedean norm to define the operating of the picture hesitant fuzzy set,and propose the picture hesitant fuzzy Maclaurin symmetric average operators and picture hesitant fuzzy weighted Maclaurin symmetric average operator.Their characteristics are also discussed.Secondly,after defining the score function and precise function,picture hesitant fuzzy multiple attribute decision making model with weighted average Maclaurin symmetry operator is developed in the paper.The proposed model can select the appropriate parameter for decision-making according to the risk preference,and also considers the interaction among the properties.The model can reduce the attribute value offset the negative influence on the results to maximize maintain the integrity of the decision-making information.Finally,the effectiveness of the proposed operator is verified by a multi-attribute decision making example.

关 键 词:图犹豫模糊集 模糊多属性决策 Archimedean范数 Maclaurin对称平均算子 

分 类 号:C934[经济管理—管理学]

 

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