On separation axioms in L-fuzzy topological spaces

Autor:	Ji-Shu Cheng
Rok vydání:	2005
Předmět:	Topological manifold Pure mathematics Connected space Hausdorff space Mathematics::Metric Geometry Mathematics::General Topology Regular space Urysohn and completely Hausdorff spaces Topology Continuous functions on a compact Hausdorff space Normal space Mathematics Zero-dimensional space
Zdroj:	2005 International Conference on Machine Learning and Cybernetics.
DOI:	10.1109/icmlc.2005.1527370
Popis:	A new concept of Hausdorff separation in an L-fuzzy topological space is defined and investigated. With respect to it, several nice properties are obtained. For instance, Hausdorff space implies T/sub 1/; Hausdorff space is proved to be hereditary, topological invariant and L-good extend. Furthermore, it is proved that an L-fuzzy topological space is Hausdorff space if and only if every molecular net has at most one limit.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b43f453fdb0fede22806c128aab3571c https://doi.org/10.1109/icmlc.2005.1527370 Zobrazit plný text záznamu