Title :
ωF- Compactness in ω-Spaces
Author_Institution :
Sch. of Math. & Stat., Southwest Univ., Chongqing, China
Abstract :
In this paper, the concepts of ωF-compact set and ωF-compact space in ω- space are defined. In term of net, cover and ω-closed sets, some characterizations of ωF-compactness are obtained. Furthermore, a series of interesting properties of ωF-compactness are discussed. It is proved that ωF-compactness in ω-space is closely hereditary and preserved by ω-fuzzy homeomorphisms.
Keywords :
fuzzy set theory; ω-closed sets; ω-fuzzy homeomorphism; ωF-compact set; ωF-compact space; ωF-compactness; Convergence; Educational institutions; Fuzzy systems; Lattices; Publishing; Topology; ω-space; ωF-compactness; (ω1, ω2) continuous function;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
Conference_Location :
Sichuan
Print_ISBN :
978-1-4673-0025-4
DOI :
10.1109/FSKD.2012.6233923