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Multiple attribute decision making with flexible linguistic expressions: A linguistic distribution-based approach with interval estimations
Computers & Industrial Engineering ( IF 7.9 ) Pub Date : 2022-08-08 , DOI: 10.1016/j.cie.2022.108553
Yuzhu Wu , Qin Ran

In linguistic multiple attribute decision making (MADM), flexible linguistic expressions can provide a general way to express complex preference data linguistically, which presents the challenge of handling such complex linguistic data. In this paper, we investigate the linguistic MADM with the concept of flexible linguistic expressions, and present a linguistic distribution-based approach with interval estimations to support the MADM with the data of flexible linguistic expressions. We first convert flexible linguistic expressions approximately to linguistic distributions through developing two models to estimate the lower and upper bounds of the approximated linguistic distributions’ expectations on the attribute level. Then, we generate the interval estimations of comprehensive values of approximated linguistic distributions on the alternative level, and propose the solution algorithm to support the linguistic MADM with flexible linguistic expressions. Finally, the numerical and comparative analysis is performed to illustrate and justify the flexible linguistic MADM methods.



中文翻译:

具有灵活语言表达式的多属性决策:基于语言分布的区间估计方法

在语言多属性决策(MADM)中,灵活的语言表达可以提供一种通用的方式来表达复杂的偏好数据,这对处理这种复杂的语言数据提出了挑战。在本文中,我们研究了具有灵活语言表达概念的语言 MADM,并提出了一种基于语言分布的区间估计方法,以支持具有灵活语言表达数据的 MADM。我们首先通过开发两个模型来估计近似语言分布在属性级别上的期望的下限和上限,将灵活的语言表达式近似转换为语言分布。然后,我们在替代级别上生成近似语言分布的综合值的区间估计,并提出解决方案算法以支持具有灵活语言表达的语言 MADM。最后,进行数值和比较分析来说明和证明灵活的语言 MADM 方法。

更新日期:2022-08-08
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