%0 Journal Article
%T <i>HB</i>-Continuous Mappings in <i>L</i>-Topological Space
%A Najah A. AlSaedi
%J Advances in Pure Mathematics
%P 333-353
%@ 2160-0384
%D 2024
%I Scientific Research Publishing
%R 10.4236/apm.2024.145019
%X In this paper, we introduce and study the notion of <i>HB</i>-closed sets in        <i>L</i>-topological space. Then, <i>HB</i>-convergence theory for <i>L</i>-molecular nets and <i>L</i>-ideals is established in terms of <i>HB</i>-closedness. Finally, we give a new definition of fuzzy <i>H</i>-continuous <a href=\"#ref1\">[1]</a> which is called <i>HB</i>-continuity on the basis of the notion of <i>H</i>-bounded <i>L</i>-subsets in <i>L</i>-topological space. Then we give characterizations and properties by making use of <i>HB</i>-converges theory of  <i>L</i>-molecular nets and <i>L</i>-ideals.
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%K L&lt
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%K -Topological Space
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%K HB&lt
%K /i&gt
%K -Closed Set
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%K H&lt
%K /i&gt
%K -Bounded Set
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%K HB&lt
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%K -Continuous Mappings
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%K HB&lt
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%K -Convergence
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%K L&lt
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%K -Molecular Nets
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%K L&lt
%K /i&gt
%K -Ideals
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=133227