基于区间数的模糊隶属函数构建

山东大学学报(工学版) ›› 2010, Vol. 40 ›› Issue (6): 32-35.

基于区间数的模糊隶属函数构建

于少伟

山东英才学院商学院, 山东济南 250104

收稿日期:2010-01-17 出版日期:2010-12-16 发布日期:2010-01-17
作者简介:于少伟（1981-），男，山东乳山人，讲师，硕士，主要研究方向为智能控制技术.E-mail:yushaowei0505@126.com
基金资助:
山东省自然科学基金资助项目(ZR2009GQ016)

Construction of a fuzzy membership function based on interval number

YU Shao-wei

Business School, Shandong Yingcai University, Jinan 250104, China

Received:2010-01-17 Online:2010-12-16 Published:2010-01-17

摘要/Abstract

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。

关键词: 区间数, 模糊统计, 模糊隶属函数, 正态模糊数

Abstract:

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.

Key words: interval number, fuzzy statistics, fuzzy membership function, normal fuzzy number

于少伟. 基于区间数的模糊隶属函数构建[J]. 山东大学学报(工学版), 2010, 40(6): 32-35.

YU Shao-wei. Construction of a fuzzy membership function based on interval number[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(6): 32-35.

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