On two weaker forms of continuous order-homomorphisms

✍ Scribed by Sheng-Gang Li

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 517 KB
• Volume: 101
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(97)00103-6

✦ Synopsis

The aim of this paper is to find further connections between two different current researches on fuzzy topology: the one based on the concepts of neighborhood, filter and Zadeh function, and the other based on the concepts of remote neighborhood, ideal and order-homomorphism on fuzzy lattices. To approach this, the paper studies two weaker forms of continuous order-homomorphisms, the semi-continuous order-homomorphism and the weakly semi-continuous order-homomorphism between L-fuzzy topological spaces. These order-homomorphisms can be characterized in each of the notions: remote-neighborhood, neighborhood, ideal, filter and molecular net. In addition, some relations connecting weakly semi-continuous order-homomorphisms, semi-Hausdorff L-fts and Urysohn L-fts have also been established.