摘要
普通的模糊集合是点值为二维的一型模糊集合,二型模糊集合(Type-2 fuzzy sets,T2FS)是点值为三维的模糊集合,T2FS比相应的一型难以理解和计算.为了让人们更好地理解T2FS并推广其应用,本文提出了广义区间二型模糊集合(Generalized interval type-2 fuzzy sets,GIT2 FS)的定义,并将其分成三类:离散型、半离散型及连续型,分别给出相应的数学表达式与扩展原理公式,并得到了GIT2FS在两种不同的模糊逻辑算子下的词计算。
The conventional fuzzy sets are type-1 fuzzy sets whose point-values are two-dimensional,and the point-values of type-2 fuzzy sets（T2 FSs） are three-dimensional.So it is more difficult for T2 FS to be understood and computed than the corresponding type-1.To make T2 FS be better understood and extensively applied,in this paper,we present the definition of generalized interval type-2 fuzzy sets（GIT2 FSs）,and divide them into three types：discrete type,partial discrete type,and continuous type.Then,the corresponding mathematical representation of every type is given to get the extension principle formula of GIT2 FS.Lastly,computing methods are proposed to discuss computing with words of GIT2 FS by two different fuzzy logic operators.
出处
《自动化学报》
EI
CSCD
北大核心
2012年第5期707-715,共9页
Acta Automatica Sinica
基金
国家自然科学基金(61074903
61074018)
中国科学院自动化研究所复杂系统管理与控制国家重点实验室开放课题
长沙理工大学青年英才计划资助~~
关键词
广义区间二型模糊集合
扩展原理
词计算
不确定覆盖域
Generalized interval type-2 fuzzy sets（GIT2 FS）
extension principle
computing with words
footprint of uncertainty（FOU）
