摘要
针对信息系统属性值是直觉模糊集的情况提出一种新的属性约简算法:首先定义各个属性值之间贴近度函数,计算出各个属性值的贴近度矩阵,定义了直觉模糊集信息系统的可区分矩阵,给出了其约简的判定定理,利用模糊聚类中的平方法求出其可区分矩阵的传递闭包,将其转化为等价矩阵,给定一个主观水平对其进行模糊聚类,将其转化为具有等价关系的信息系统并且进行约简,从而得到直觉模糊集信息系统的核心属性。给出了该算法的复杂度。最后通过一个算例表明这种方法的有效性和合理性。
In this paper, a novel attributes reduction algorithm of intuitionistic fuzzy-valued information system was proposed： firstly the proximity function between two objects under one attribute was defined then the proximity matrix of every attribute was calculated. The discernibility matrix of intuitionistic fuzzy -valued information system was defined and the reduction theorem was then given. The transitive closure of discernibility matrix was got by square method of fuzzy cluster and then the equivalent matrix of all attributes was also calculated. Given a subjective level, the intuitionistic fuzzy-valued information system was changed into a equivalent relation system which can be reducted based on algorithm we proposed by fuzzy cluster method. Then the core attributes can be got and the complexity of algorithm was then given. Lastly a numerical example was given to demonstrate the effectiveness and rationality of the proposed algorithm.
出处
《模糊系统与数学》
CSCD
北大核心
2014年第4期138-143,共6页
Fuzzy Systems and Mathematics
基金
安徽省自然科学基金资助项目(1208085MA14)
国家自然科学基金资助项目(71071045)
中央高校基本科研业务费专项资金资助项目(2013HGXJ0228)
关键词
直觉模糊集信息系统
模糊聚类
贴近度函数
模糊等价关系
传递闭包
可区分矩阵
Intuitionistic Fuzzy -valued Information System
Fuzzy Cluster
Proximity Function
Fuzzy Equivalent Relation
Transitive Closure
Discernibility Matrix
