摘要
对于属性权重、位置权重以及属性赋值均为直觉模糊数的信息系统,注意到信息系统中属性数目比较少的情况下,数据自身的重要性程度对集成算子影响较大的特点,借助于本文提出的直觉模糊集上的广义加法和乘法,提出了属性权重、位置权重以及属性赋值均为直觉模糊数的信息集成算子,推广和总结了前人的结果.同时,对于数据信息表现为连续区间的数据集成,构建了组合连续区间数据的广义有序加权平均算子及其转换方法,并讨论了其性质.所得结果可直接应用到不确定多属性决策问题的讨论,最后给出了算例.
The importance of the data and their positions were considered and,by means of the generalized addition and multiplication proposed,the data aggregation operators for the information system were put forward, which characterized the weight,the weight of the operator and the information valued as all intuitionistic fuzzy numbers.The obtained results prove to be a promotion and generalization of the previous approaches. Furthermore,the continuous generalized ordered and weighted averaging operator for the information system was used to value the interval-valued intuitionistic fuzzy numbers and their transferred theorems.The results could be used to solve uncertain multi-attribute decision-making problems.Finally,two illustrative examples were also given.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第6期105-113,118,共10页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金项目(71061013)
西北师范大学知识创新工程项目(NWNU-KJCXGC-03-61)
关键词
直觉模糊集
信息集成算子
多属性决策
intuitionistic fuzzy set
information data aggregation operator
multi-attribute decision-making
