Title :
The ωδ-connectedness in an Lω-space
Author_Institution :
Sch. of Sci., Jimei Univ., Xiamen, China
Abstract :
An Lω-space is viewed as a fuzzy topology space including various closure operators. The properties of the ωδ-connectedness on an Lω-space are introduced. Some new notions on an Lω-space, such as ωδ-closed set, ωδ-open set, ωδ-connected set and so on, are presented. Their properties and characterizations are systematically discussed. For example, the ωδ-connectedness has the invariant property of homeomorphism. Finally, the K.Y. Fan Theorem on the general topology is generalized to the Lω-space.
Keywords :
fuzzy set theory; topology; ωδ-closed set; ωδ-connected set; ωδ-connectedness; ωδ-open set; Lω-space; closure operator; fuzzy topology space; general topology; homeomorphism; invariant property; Educational institutions; Fuzzy systems; Information processing; Intelligent control; Lattices; Presses; Topology;
Conference_Titel :
Intelligent Control and Information Processing (ICICIP), 2012 Third International Conference on
Conference_Location :
Dalian
Print_ISBN :
978-1-4577-2144-1
DOI :
10.1109/ICICIP.2012.6391551
