基于熵权法的语言值格蕴涵代数TOPSIS方法

2017 12th International Conference on Intelligent Systems and Knowledge Engineering (ISKE) Pub Date : 2017-11-01 DOI:10.1109/ISKE.2017.8258787

Hongdong Wang, Jia Meng, L. Zou, Siyuan Luo, Yuanyuan Shi

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引用次数: 1

摘要

为解决属性权重未知、方案指标值为语言值格蕴涵代数(LV(n×2))的多属性群体决策问题。提出了一种基于熵权法的语言值格蕴涵代数TOPSIS方法。我们研究了Lv(n×2)上的语言值与它们的性质之间的距离。基于Lv(n×2)提出了欧几里得距离和加权欧几里得距离得到Lv上的语言值之间的相似性(n×2)。采用Lv(n×2)熵法确定属性权重，采用TOPSIS法对备选方案进行比较和排序。通过实例分析，验证了该方法的可行性和有效性。

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Linguistic-valued lattice implication algebra TOPSIS method based on entropy weight method

In order to solve the multi-attribute group decision-making problems, which the attribute weight is unknown and the index value of the alternative is linguistic-valued lattice implication algebra(LV(n×2)). This paper proposes a linguistic-valued lattice implication algebra TOPSIS method based on entropy weight method. We study the distance between the linguistic-valued on Lv(n×2) and their properties. Based to Lv(n×2) puts forward the Euclidean distance and weighted Euclidean distance get the similarity between the linguistic-valued on Lv(n×2). The weight of the attributes are determined according to the Lv(n×2) entropy method, and the alternatives are compared and ordered by TOPSIS method. The feasibility and validity of the method are verified by case analysis.

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2017 12th International Conference on Intelligent Systems and Knowledge Engineering (ISKE)

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