基于正态云相似度的语言型多属性群决策方法

doi:10.11896/j.issn.1002-137X.2019.06.033

摘要/Abstract

摘要： 在分析已有正态云模型相似性度量的不足的基础上,综合考虑正态云的形状相似度和位置相似度,提出了一种新的正态云相似性度量方法,并对其性质进行了证明。与已有方法相比,该方法具有很强的区分性。将提出的正态云相似性度量方法应用于语言型多属性群决策中,首先依据正态分布规律将语言变量转化为正态云;其次通过云加权算术平均算子CWAA实现信息集结;最后依据VIKOR排序方法,计算方案属性与最优云、最差云的综合相似度,以实现方案排序。通过算例分析了所提方法的可行性和有效性。

关键词: 多属性群决策, 相似度, 语言变量, 正态云

Abstract: On the basis of analyzing the inadequacies of existed similarity measures between normal clouds,through synthetically considering the shape similarity and position similarity of normal clouds,this paper proposed a new similarity measure between normal clouds,and proved its characteristics.The comparison results with other methods demonstrate the stronger discrimination of the proposed method.The proposed normal cloud similarity measurement method was applied to the linguistic multi-attribute group decision.Firstly,the linguistic variables is transformed into a normal cloud according to the normal distribution law.Secondly,information aggregation is realized by means of cloud weighted arithmetic mean operator.Finally,according to the VIKOR method,the scheme is ranked by the comprehensive similarity of the optimal cloud and the worst cloud.The feasibility and validity of this method were analyzed through an example in this paper.

Key words: Linguistic variables, Multi-attribute group decision making, Normal cloud, Similarity

中图分类号:

TP391

徐聪, 潘小东. 基于正态云相似度的语言型多属性群决策方法[J]. 计算机科学, 2019, 46(6): 218-223. https://doi.org/10.11896/j.issn.1002-137X.2019.06.033

XU Cong, PAN Xiao-dong. Linguistic Multi-attribute Group Decision Making Method Based on Normal Cloud Similarity[J]. Computer Science, 2019, 46(6): 218-223. https://doi.org/10.11896/j.issn.1002-137X.2019.06.033

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