| 摘要: |
| 针对属性权重未知的语言多属性决策问题，首先通过EKM算法将语言评价信息定量转化为区间二型模糊数，在此基础之上，定义一种区间二型模糊数的信息熵，并讨论其优良性质；基于该信息熵最大化准则构建了优化模型进行求解属性权重，同时提出一种基于区间二型模糊信息熵的TOPSIS多属性决策方法；最后通过实例说明该方法的合理性和有效性。 |
| 关键词: 多属性决策 区间二型模糊 熵 TOPSIS |
| DOI： |
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| An Approach to Multiple Attribute Group Decision Making Based on the TOPSIS and Interval Type 2 Fuzzy Information Entropy |
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ZHOU Yi xuan， WANG Yi， PING Yi nan， XU Li wei
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| Abstract: |
| With regard to linguistic multiple attribute decision making （LMADM） problem where the weights of attributes are unknown，the linguistic evaluation information is transformed in the interval type 2 fuzzy numbers through the EKM algorithm，on this basis，an interval type 2 fuzzy information entropy is defined，its characteristics and properties are discussed as well.The optimization model is constructed to solve attributes weights in MADM on the basis of maximizing information entropy.Furthermore，a method to multiple attribute decision making is developed based on TOPSIS and interval type 2 fuzzy information entropy.Finally，an example is given to show the feasibility and effectiveness of the proposed method. |
| Key words: multiple attribute decision making interval type 2 fuzzy entropy TOPSIS |
