摘要: |
针对属性值为梯形模糊数的模糊多属性决策问题,给出一种基于信息熵的模糊多属性决策方法,并用实例进行检验.该方法利用信息熵求出各属性权重,利用简单加权法来计算方案的模糊效用值,根据梯形模糊数的期望值排序方法对方案进行排序和择优.用该方法选出的方案有效、可行而且计算简单,为解决模糊多属性决策问题提供了新途径. |
关键词: 模糊多属性决策 信息熵 梯形模糊数 期望值 |
DOI: |
投稿时间:2007-07-05 |
基金项目: |
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Fuzzy Multi-Attribute Decision Making Method Based on Information Entropy |
ZENG San-yun1, LONG Jun2
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(1.College of Mathematics and Computer Science, Jishou University, Jishou, Hunan, 416000, China;2.College of Preparatory Education for Minority Nationalities, Jishou University, Jishou, Hunan, 416000, China) |
Abstract: |
A fuzzy multi-Attribute decision making method based on information entropy is presented to deal with the fuzzy multi-attribute decision making problem, in which the attribute values are trapezoid fuzzy numbers and a numerical example is used to illustrate the proposed method.The attribute weights are determined by using information entropy.On the basis of additive weighting, the fuzzy utility values of alternatives are obtained.Alternatives are ranked by using the expected value method of ranking trapezoid fuzzy numbers.The alternative obtained by this method is effective, feasible and easy to calculate.The method provides a new approach for solving the fuzzy multi-attribute decision making problem. |
Key words: fuzzy multi-attribute decision making information entropy trapezoid fuzzy number expected value |