Title :
F-Compactness in L-closure Spaces
Author_Institution :
Sch. of Math. & Stat., Southwest Univ., Chongqing, China
Abstract :
In this paper, the concepts of F-compactness set and F-compactness space in L-closure space are defined. In term of net, cover and L-closed sets, some characterizations of F-compactness are obtained. Furthermore, a series of interesting properties of F-compactness are discussed. It is proved that F-compactness in L-closure space is closely hereditary and preserved by L-fuzzy homeomorphisms.
Keywords :
fuzzy set theory; topology; F-compactness set; F-compactness space; L-closed set; L-closure space; L-fuzzy homeomorphism; L-topological space; cover set; net set; Fuzzy systems; Lattices; Mathematics; Statistics; Topology; F-compactness; L-closure space; a-net; r-cover; remote neighborhood family;
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.2009.13
