一种基于Choquet积分的多属性直觉模糊决策方法  

Approaches to Multiple Attribute Decision Making with Intuitionistic Fuzzy Sets Based on Fuzzy Integral

作　　者：高岩[1] 周德群[1] 刘晨琛[2] 

机构地区：[1]南京航空航天大学经济与管理学院,江苏南京210016 [2]济宁医学院信息工程学院,山东济宁272000

出　　处：《数学的实践与认识》2009年第17期72-77,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(90510010);教育部博士点基金(20050287026)

摘　　要：研究了决策者对方案的主观偏好值以及属性值均为直觉模糊数的且属性间存在关联的多属性决策问题.利用Choquet模糊积分作为集结算子,构建了基于属性关联的M OD和SOD模型.通过求解模型获得属性的权重,进而给出了一种新的直觉模糊多属性决策方法.最后通过一个算例说明了该决策方法的有效性和可行性.Multiple attribute decision making problems with interaction are investigated, in which the attribute values and the preference information are expressed in the form of intuitionistic fuzzy numbers. For the situations where the information on attribute weights are incomplete and the attribute is interactive, the concepts of λ-fuzzy measure on attribute sets, expected matrix and score matrix of intuitionistic fuzzy decision matrix, etc, are defined. By using Choquet fuzzy integral, the MOD and SOD models are established based on interaction of attribute, from which the attribute weights can he derived. Then the approaches to multiple attribute decision making with intuitionistie fuzzy sets are proposed. Finally, a practical example is used to show feasibility and effectiveness of the proposed approach.

关 键 词：直觉模糊数 λ-模糊测度 CHOQUET模糊积分 得分矩阵 

分 类 号：O159[理学—数学]