自动化学报2012，Vol.38Issue(5)：707-715,9.DOI:10.3724/SP.J.1004.2012.00707
广义区间二型模糊集合的词计算
Computing with Words in Generalized Interval Type-2 Fuzzy Sets
摘要
Abstract
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.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Key words
Generalized interval type-2 fuzzy sets (GIT2 FS), extension principle, computing with words, footprint of uncertainty (FOU)引用本文复制引用
莫红,王涛..广义区间二型模糊集合的词计算[J].自动化学报,2012,38(5):707-715,9.基金项目
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 （61074903,61074018）
