东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2013, Vol. 34 ›› Issue (5): 618-623.DOI: -

• 信息与控制 • 上一篇    下一篇

一种区间二型模糊隶属度函数的构造新方法

纪雯，王建辉，方晓柯，顾树生   

  1. (东北大学信息科学与工程学院，辽宁沈阳110819)
  • 收稿日期:2012-10-31 修回日期:2012-10-31 出版日期:2013-05-15 发布日期:2013-07-09
  • 通讯作者: 纪雯
  • 作者简介:纪雯(1983-)，女，内蒙古巴彦淖尔人，东北大学博士研究生；王建辉(1957-)，女，辽宁鞍山人，东北大学教授，博士生导师；顾树生(1939-)，男，黑龙江绥化人，东北大学教授，博士生导师.
  • 基金资助:
    辽宁省科技厅科学技术计划项目(2010020176-301).

A New Construction Method of Membership Function for Interval Type2 Fuzzy Sets

JI Wen， WANG Jianhui， FANG Xiaoke， GU Shusheng   

  1. School of Information Science ＆ Engineering， Northeastern University， Shenyang 110819， China.
  • Received:2012-10-31 Revised:2012-10-31 Online:2013-05-15 Published:2013-07-09
  • Contact: JI Wen
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摘要： 针对现有区间二型模糊隶属度函数的构造方法中，存在受试者需为模糊专家，易出现不确定迹(FOU)填满现象(下隶属度函数近似为0)，或需预先确定不确定迹的形状的问题，设计受试者不为模糊专家也可正确回答的调查问题，提出一种构造区间二型模糊集隶属度函数的新方法.该法不需预先确定FOU的形状，受试者不必为模糊专家.该法的基本思想是从一组领域专家中收集类属词的上下隶属度区间数据，对所获数据进行数据预处理，最后获得类属词的隶属度函数和FOU.实验结果表明，所提出的新方法可有效构造区间二型模糊隶属度函数，避免出现填满现象.

关键词: 区间二型模糊集, 隶属度函数, 数据预处理, 不确定迹, 填满

Abstract: There are several problems in the construction method of membership function for interval type2 fuzzy sets， such as it requires that subjects are knowledgeable about fuzzy sets， footprint of uncertainty (FOU) is filled in or almost filled in (lower membership function is approximately zero)， and the shape of an FOU must be chosen ahead of time. In order to solve these problems， a novel construction method of membership function for interval type2 fuzzy sets was proposed based on a question design for subjects who are not limited to experts of fuzzy sets. The proposed method did not need to choose the shape of a FOU. The basic idea of the method could be concluded as follows. First， the interval data for upper membership degree and lower membership degree of a word was collected from domain experts. Then， the interval data would be preprocessed. And at last， the membership function and footprint of uncertainty for the word would be obtained. Experimental results showed that the proposed method can establish membership function for interval type2 fuzzy sets effectively and can avoid the FOU to be filled in or almost filled in.

Key words: interval type2 fuzzy sets, membership function (MF), data preprocessing, footprint of uncertainty (FOU), filled in

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