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HB-Continuous Mappings in L-Topological Space

HB-Continuous Mappings in L-Topological Space
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摘要 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. 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.
作者 Najah A. AlSaedi Najah A. AlSaedi(Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Makkah, Saudi Arabia,)
出处 《Advances in Pure Mathematics》 2024年第5期333-353,共21页 理论数学进展(英文)
关键词 L-Topological Space HB-Closed Set H-Bounded Set HB-Continuous Mappings HB-Convergence L-Molecular Nets L-Ideals L-Topological Space HB-Closed Set H-Bounded Set HB-Continuous Mappings HB-Convergence L-Molecular Nets L-Ideals
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