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首页> 外文期刊>Granular Computing >Multiple-attribute decision-making based on picture fuzzy Archimedean power Maclaurin symmetric mean operators
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Multiple-attribute decision-making based on picture fuzzy Archimedean power Maclaurin symmetric mean operators

机译：基于图片模糊ARCHIMEDEAN POWER MACLAURIN对称均衡器的多属性决策

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摘要

In this paper, a novel multiple-attribute decision-making method based on a set of Archimedean power Maclaurin symmetric mean operators of picture fuzzy numbers is proposed. The Maclaurin symmetric mean operator, power average operator, and operational rules based on Archimedean T-norm and T-conorm are introduced into picture fuzzy environment to construct the aggregation operators. The formal definitions of the aggregation operators are presented. Their general and specific expressions are established. The properties and special cases of the aggregation operators are, respectively, explored and discussed. Using the presented aggregation operators, a method for solving the multiple-attribute decision-making problems based on picture fuzzy numbers is designed. The method is illustrated through example and experiments and validated by comparisons. The results of the comparisons show that the proposed method is feasible and effective that can provide the generality and flexibility in aggregation of values of attributes and consideration of interactions among attributes and the capability to lower the negative effect of biased attribute values on the result of aggregation.
机译：本文提出了一种基于一组ARCHIMEDEAN电力MACLAURIN对称均衡的图像模糊数的多个属性决策方法。基于Archimedean T-Norm和T-Conorm的Maclaurin对称均值，功率平均运算符和操作规则被引入到图像模糊环境中，以构建聚合运算符。提出了聚合运营商的正式定义。建立了他们的一般和特定表达。分别探索和讨论的聚合运营商的特性和特殊情况。使用呈现的聚合运算符，设计了一种基于图像模糊数来解决多属性决策问题的方法。该方法通过示例和实验说明并通过比较验证。比较结果表明，该方法可行且有效，可以在属性的价值聚合和思考属性之间的相互作用和降低聚合结果的偏置属性值的负效应中的相互作用中提供普遍性和灵活性。

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  • 来源
    《Granular Computing》 |2021年第3期|737-761|共25页
  • 作者

    Yuchu Qin; Xiaolan Cui; Meifa Huang; Yanru Zhong; Zhemin Tang; Peizhi Shi;

  • 作者单位

    School of Mechanical and Electrical Engineering Guilin University of Electronic Technology Guilin 541004 People's Republic of China;

    School of Management Huazhong University of Science and Technology Wuhan 430074 People's Republic of China;

    School of Mechanical and Electrical Engineering Guilin University of Electronic Technology Guilin 541004 People's Republic of China;

    Guangxi Key Laboratory of Intelligent Processing of Computer Images and Graphic Guilin University of Electronic Technology Guilin 541004 People's Republic of China;

    School of Mechanical and Electrical Engineering Guilin University of Electronic Technology Guilin 541004 People's Republic of China;

    School of Computing and Engineering University of Huddersfield Huddersfield HD1 3DH UK;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Multiple-attribute decision-making; Picture fuzzy set; Aggregation operator; Maclaurin symmetric mean operator; Power average operator; Archimedean T-norm and T-conorm;

    机译：多个属性决策;图片模糊套装;聚合运营商;Maclaurin对称均值;功率平均运营商;Archimedean T-Norm和T-Conorm;

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