改进排序的梯形直觉模糊Choquet Bonferroni算子的多属性群决策方法

doi:10.16381/j.cnki.issn1003-207x.2020.01.011

摘要/Abstract

摘要： 针对评价信息为梯形直觉模糊数（TrIFN）且属性间不严格相互独立的多属性群决策（MAGDM）问题，提出一种基于改进排序的Choquet Bonferroni算子的多属性群决策方法。首先介绍TrIFN的概念和运算法则；其次由Choquet积分将决策信息间的交互关系转换为待聚合TrIFN的权重信息；然后融合Choquet积分和Bonferroni平均算子，提出梯形直觉模糊Choquet Bonferroni规范赋权调和均值算子（TrIFCBNWHM），并讨论算子的性质；接着构建基于各备选方案TrIFN的质心、均值和模糊度的排序指标模型，得到备选集的一个排序，建立TrIFN环境下的MAGDM方法，并给出具体算子与算法步骤。实例分析验证了TrIFCBNWHM算子和TrIFN排序方法的有效性和可行性。

关键词: 多属性群决策, 梯形直觉模糊数, Choquet积分, Bonferroni平均算子, 规范赋权调和均值算子

Abstract: Multiple attribute group decision making(MAGDM) is a common optimal estimation method that based on the ranking of aggregation operators. In this essay, a Novel Sort Method in MAGDM based on Choquet Bonferroni Means is proposed for Trapezoidal Intuitionistic Fuzzy with the input arguments as not independent. At the very beginning the basic principle and computation rule of trapezoidal intuitionistic fuzzy sets are introduced. Secondly, the trapezoidal intuitionistic fuzzy Choquet Bonferroni Normalized weighted harmonic mean (TrIFCBNWHM) is presented based on the ability of Choquet integral converts the interaction between decision information into the weight information of TrIFNs. What is more, its desirable properties are discussed in this section. Furthermore, a ranking index model based on the centroid, mean and ambiguity of each alternative TrIFNs is constructed. Finally, a practical example has been presented to illustrate the proposed MAGDM technique and show that it is an effective tool to reveal the importance of each attribute and the correlations among them in MAGDM problems. The data that applied in this essay are captured from the previous researches. The construction of the multi-attribute group decision making method with trapezoidal intuitionistic fuzzy environment makes fuzzy decision making more scientific, it may gather more research attention in this field, and constantly adds new characteristics in the potential applications of economics, statistics and other research disciplines.

Key words: MAGDM, TrIFN, Choquet integral, Bonferroni averaging operator, TrIFCBNWH

中图分类号:

C934

罗世华, 刘俊. 改进排序的梯形直觉模糊Choquet Bonferroni算子的多属性群决策方法[J]. 中国管理科学, 2020, 28(1): 134-143.

LUO Shi-hua, LIU Jun. A Novel Sort Method for Trapezoidal Intuitionistic Fuzzy MAGDM with Choquet Bonferroni Means[J]. Chinese Journal of Management Science, 2020, 28(1): 134-143.

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