Title :
On Fuzzy Recognizers and a Decomposition of Recognizable Sets
Author :
Yang, Jingkai ; Deng, Peimin ; Yi, Zhong
Author_Institution :
Dept. of Math. & Comput. Sci., Yulin Normal Univ., Yulin, China
Abstract :
In this paper, we introduce the definition of the unitary recognizable set and discuss some basic properties of fuzzy recognizers and recognizable sets. We obtain any nonempty recognizable set can be decomposed into the union of finite non-intersection unitary recognizable sets; a necessary and sufficient condition that a recognizable set is a prefix is discussed; and a prefix decomposition theorem of recognizable sets is also given.
Keywords :
fuzzy set theory; pattern recognition; finite nonintersection unitary recognizable sets; fuzzy recognizers; nonempty recognizable set; prefix decomposition theorem; recognizable set decomposition; Collaborative software; Computer science; Fuzzy sets; Fuzzy systems; Humans; Information management; International collaboration; Process design; Uncertainty; Web and internet services;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.219
