基于区间数的模糊隶属函数构建

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。

Construction of a fuzzy membership function based on interval number

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 applicability and the fuzzy membership function was more continuous, objective and suitable to people's subjective consciousness.