一种基于区间直觉模糊集的多属性决策方法  

A Novel Multi-criteria Decision-making Method Based on Interval-valued Intuitionistic Fuzzy Sets

作　　者：孙小慧[1] 吴涛[1,2] 孙恒[3] 白礼虎[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039 [2]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039 [3]北京林业大学水土保持学院,北京100083

出　　处：《河南科技大学学报（自然科学版）》2013年第5期87-90,9,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(61073117);安徽大学学术创新团队基金项目(KJTD 001B);安徽大学研究生学术创新研究基金项目(yfc 100016)

摘　　要：对已有区间直觉模糊集的得分函数和精确函数进行了研究,在此基础上定义了一种新的得分函数,弥补了已有得分函数和精确函数的不足和缺陷,并讨论了得分函数的一些性质。通过区间直觉模糊集的加权平均算子和加权几何集成算子对多属性进行集成,应用新的得分函数,给出了基于区间直觉模糊集的多属性决策方法。实例表明该方法具有良好的实用性。Based on the score function and accuracy function of existing interval-valued intuitionistic fuzzy set, a new score function was defined,which overcomes the defect of existing score function and accuracy function. Moreover,some properties were provided. By the weighted average operator and weighted geometric integrated operator of interval-valued intuitionistic fuzzy set,multi-criteria interval-valued intuitionistic fuzzy set was aggregated. According to the new score function,a novel interval-valued decision-making method based on the intuitionistic fuzzy set was presented. An example shows the good effectiveness of the method.

关 键 词：区间直觉模糊集 集成算子 得分函数 精确函数 决策 

分 类 号：O232[理学—运筹学与控制论]