基于区间数的模糊隶属函数构建  

Construction of a fuzzy membership function based on interval number

作　　者：于少伟[1] 

机构地区：[1]山东英才学院商学院,山东济南250104

出　　处：《山东大学学报（工学版）》2010年第6期32-35,93,共5页Journal of Shandong University（Engineering Science）

基　　金：山东省自然科学基金资助项目(ZR2009GQ016)

摘　　要：针对当前基于统计方法构造模糊隶属函数中存在的不足,提出一种基于区间数的方法来确定模糊隶属函数。采用区间数描述"青年人"的概念;基于区间数和模糊数的知识,将区间数据转化成有界闭模糊数;经过加权计算得到一个正态模糊数的α-水平截集,并扩展成模糊隶属函数。试验结果表明:该方法简单、精度高,基于该方法确定的隶属函数曲线更连续、客观,更符合人的主观意识。An approach based on interval number for constructing a fuzzy membership function considering some problems existing in statistical methods was proposed. The conception of the youth using interval number was described, the interval number was transformed into a limited boundary fuzzy figure based on the knowledge of interval number and fuzzy number, and then a α-cut set of a normal fuzzy number was obtained by weighted computing extending it into a fuzzy membership function. Experimental results showed that this approach was simple and accurate with wide applica- bility and the fuzzy membership function was more continuous, objective and suitable to people＇s subjective consciousness.

关 键 词：区间数 模糊统计 模糊隶属函数 正态模糊数 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]