基于熵和关联系数的区间直觉模糊决策方法  

Approach to interval-valued intuitionistic fuzzy decision making based on entropy and correlation coefficient

作　　者：陈晓红[1] 戴子敬[1] 刘翔[1] 

机构地区：[1]中南大学商学院,湖南长沙410083

出　　处：《系统工程与电子技术》2013年第4期791-795,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金创新群体科学基金(70921001);国家自然科学基金(7127126)资助课题

摘　　要：针对决策信息为区间直觉模糊数且属性权重完全未知的多属性决策问题,提出了一种基于熵和关联系数的决策方法。首先,构建了一种新的区间直觉模糊熵,并提出基于该区间直觉模糊熵的属性权重确定方法。然后,提出了考虑属性权重的区间直觉模糊关联系数,进一步基于以上原理给出了解决属性权重完全未知且属性值为区间直觉模糊数的多属性决策问题的决策步骤。最后,依据以上决策步骤,通过算例的计算表明了该方法的简单性与有效性。This article proposes an approach to multi-attribute decision makmg based on miormanon entrupy and correlation coeffcient with unknown attribute weight information where individual assessments are provided as interval-valued intuitionistic fuzzy numbers. First of all, a type of technique for constructing interval-valued intuitionistic fuzzy entropy is proposed, and a method is developed based on this entropy values of interval-valued intuitionistic fuzzy numbers to ensure unknown attribute weights. Next, a formula of interval-valued intuitionistic fuzzy numbers correlation coefficient with attribute weights is defined. Then, the decision making steps with unknown attribute weight information is introduced, where individual assessments are provided as intervalvalued intuitionistic fuzzy numbers based on the above principle. Finally, the method is used as an example to verify its simplicity and effectiveness.

关 键 词：决策 区间直觉模糊数 熵 关联系数 

分 类 号：C934[经济管理—管理学] N945.25[自然科学总论—系统科学]