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<p>This paper introduces the concept of <i>LM</i>-G-filter degree of mappings from <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1281_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="70" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^X \rightarrow M\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mi>X</mi> </msup> <mo stretchy="false">→</mo> <mi>M</mi> </mrow> </math></EquationSource> </InlineEquation>. <i>LM</i>-G-filter degrees of mappings are characterized by <i>L</i>-pre G-filter spaces. Degrees to which an ordinary map is an <i>LM</i>-G-filter map, <i>LM</i>-G-filter preserving map and <i>LM</i>-G-filter isomorphism are also defined and their representations are obtained in several ways. Finally, the application potential of <i>LM</i>-G-filter degree in connection with various decision making situations is also brought out.</p>

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On LM-G-filter degree and its characterizations

  • 期刊论文

  • 发表日期：

    2025年3月14日

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  • Merin Jose,
  • Sunil C. Mathew

摘要

This paper introduces the concept of LM-G-filter degree of mappings from \(L^X \rightarrow M\) L X → M . LM-G-filter degrees of mappings are characterized by L-pre G-filter spaces. Degrees to which an ordinary map is an LM-G-filter map, LM-G-filter preserving map and LM-G-filter isomorphism are also defined and their representations are obtained in several ways. Finally, the application potential of LM-G-filter degree in connection with various decision making situations is also brought out.