A New Fuzzy Joint Choquet Integral Method Under Interval-Valued Function

Q3 Computer Science
Kaisheng Liu
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引用次数: 0

Abstract

A new fuzzy group decision-making method considering multi-attributes correlation under interval-valued function is presented, which mainly includes (1) acquiring the group fuzzy preference matrix and (2) handling the interactions between multiple evaluation attributes. To do that, firstly, the fuzzy joint Choquet integral based on an interval-valued function is proposed, which not only reflects the interaction between multiple attributes in a complex and uncertain environment, but also retains the initial preference of the decision maker. Secondly, a Shapley value with fuzzy measure is applied to assign each decision maker's weight, and the fuzzy group preference matrix is acquired by fusing the fuzzy preference matrices of all decision makers. Finally, a nursing home selection case is depicted to explain the effectiveness of the proposed technique. The corresponding sensitivity analysis is operated, which clarifies the reliability and flexibility of the proposed technique.
区间值函数下的新型模糊联合 Choquet 积分法
本文提出了一种在区间值函数下考虑多属性相关性的新型模糊群体决策方法,主要包括:(1)获取群体模糊偏好矩阵;(2)处理多个评价属性之间的交互作用。为此,首先提出了基于区间值函数的模糊联合 Choquet 积分,它不仅反映了复杂和不确定环境中多属性之间的相互作用,还保留了决策者的初始偏好。其次,应用具有模糊度量的 Shapley 值来分配每个决策者的权重,并通过融合所有决策者的模糊偏好矩阵来获得模糊群体偏好矩阵。最后,通过一个养老院选择案例来说明所提技术的有效性。同时还进行了相应的灵敏度分析,明确了所提技术的可靠性和灵活性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
International Journal of Fuzzy System Applications
International Journal of Fuzzy System Applications Computer Science-Computer Science (all)
CiteScore
2.40
自引率
0.00%
发文量
65
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