基于TODIM的属性权重未知的混合多属性群决策方法
Hybrid Multiple Attribute Group Decision Making Method with Unknown Attribute Weights Based on TODIM
DOI: 10.12677/ORF.2020.103026, PDF,    国家科技经费支持
作者: 刘小月, 张新蕾：对外经济贸易大学，信息学院，北京
关键词: 多属性群决策；TODIM；混合数据；属性权重未知；Multiple Attribute Group Decision Making； TODIM； Hybrid Data； Unknown Attribute Weights
摘要: 针对属性权重未知的混合多属性群决策问题，本文首先在对不同数据类型的评价值进行规范化处理的基础上，提出了将精确数、区间数、语言术语转化为概率语言术语集的转化方法；然后通过对个体决策矩阵进行集结，利用离差最大化思想确定属性的权重，并将传统TODIM方法拓展到概率语言环境下，构建相对优势度矩阵，根据总体优势度对备选方案进行排序选择；最后通过算例验证了该方法的可行性。
Abstract: With respect to hybrid multiple attribute group decision making problems with unknown attribute weights, based on normalizing the different types of evaluation values, this paper firstly develops a method for transforming crisp number, interval number and linguistic term into probabilistic linguistic term set. Then, by aggregating the individual decision matrices, the deviation maximization method is used to determine the weights of attributes, and the traditional TODIM method is extended to probabilistic linguistic environment. By constructing relative dominance matrix, the ranking of all feasible alternatives is determined according to the overall dominance degrees. Finally, a numerical example is provided to illustrate the applicability of the proposed method.
文章引用：刘小月, 张新蕾. 基于TODIM的属性权重未知的混合多属性群决策方法[J]. 运筹与模糊学, 2020, 10(3): 249-262. https://doi.org/10.12677/ORF.2020.103026

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