Method Based on Fuzzy Entropy-Entropy Weight for Hybird Multi-attribute Decision Making

Abstract

Abstract: For the problem of the hybrid MADM for interval number, intuitionistic fuzzy numbers and linguistic variables, this paper proposes a method to determine the attribute weight based on fuzzy entropy. This method changes the interval number to the intuitionistic fuzzy number by standardized method, and unites the information of the decision in the same framework by building the relationship between the intuitinistic fuzzy numbers and the linguistic variables. Then it uses the model of the entropy weight to determine the objective weights range of the attributes, gets the objective weights by the liner programming model of the minimum of the fuzzy entropy, and gets the combined weights by combining subjective weight method. At last it gets the ranking results by the method of the relative entropy. A numerical example illustrates the validity and applicability of the proposed method.

Key words: management science, hybrid multi-attribute decision making, fuzzy entropy, entropy weight, intuitionist fuzzy set

摘要： 针对决策信息以区间数、直觉模糊数和语言变量给出的混合多属性决策问题,提出了基于模糊熵-熵权法的混合多属性决策方法。通过规范化的方法把区间数转化为直觉模糊数,建立了直觉模糊数与语言变量的对应关系,把混合多属性决策信息统一在同一决策框架下;然后利用熵权法确定属性的客观权重区间,通过求解属性信息模糊熵最小的线性规划模型得到属性客观权重;再与主观赋权方法相结合确定属性的组合权重;最后应用相对熵排序法得到方案的最终排序结果。算例分析表明方法的可行性和实用性。

关键词: 管理科学, 混合多属性决策, 模糊熵, 熵权, 直觉模糊集

CLC Number:

C934

ZHAO Meng, REN Rong-rong, LI Gang. Method Based on Fuzzy Entropy-Entropy Weight for Hybird Multi-attribute Decision Making[J]. Operations Research and Management Science, 2013, 22(6): 78-83.

赵萌, 任嵘嵘, 李刚. 基于模糊熵-熵权法的混合多属性决策方法[J]. 运筹与管理, 2013, 22(6): 78-83.

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