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Local connectedness in L-topological spaces

✍ Scribed by Sheng-Gang Li


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
189 KB
Volume
133
Category
Article
ISSN
0165-0114

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Based on the consideration to the layer structures of fuzzy lattices and the level topologies of L-fuzzy topological spaces, a connectedness is deΓΏned for an arbitrary L-fuzzy set in this paper. This deΓΏnition re ects the degree of connectivity of an L-fuzzy set. It is shown that the connectedness o

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## We show that every L-interval J(L) and its weakly induced modification J(L) are ultra-F-connected, locally ultra-Fl-connected, and locally ultra-F2-connected, and that they axe Qconnected and locally Q-connected if L satisfies some moderate conditions. (E) 2004 Elsevier Ltd. All rights reserved