TITLE:
HB-Continuous Mappings in L-Topological Space
AUTHORS:
Najah A. AlSaedi
KEYWORDS:
L-Topological Space, HB-Closed Set, H-Bounded Set, HB-Continuous Mappings, HB-Convergence, L-Molecular Nets, L-Ideals
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.14 No.5,
May
21,
2024
ABSTRACT: In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new definition of fuzzy H-continuous [1] which is called HB-continuity on the basis of the notion of H-bounded L-subsets in L-topological space. Then we give characterizations and properties by making use of HB-converges theory of L-molecular nets and L-ideals.