Title :
Properties of Theta-closure in L-Spaces
Author_Institution :
Hangzhou Dianzi Univ., Hangzhou
Abstract :
Theta-closure is an important tool for investigation of L-Hausdorff separability, regular separability and H-sets in L-spaces. In this paper, we generalize it to L-spaces and systematically explore the properties of theta-closure, theta-interior and theta-closed sets. Constructions and some characteristic descriptions are formulated. It is proved that theta-closed sets are multiplicative, hereditary and invariant in closed continuous order homomorphism.
Keywords :
fuzzy set theory; topology; H-set theory; L-Hausdorff separability; L-spaces; closed continuous order homomorphism; fuzzy topological space; regular separability; theta-closed set; theta-closure; theta-interior; Convergence; Educational institutions; Fuzzy sets; Lattices; Topology;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2874-8
DOI :
10.1109/FSKD.2007.461
