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- W3204701337 abstract "An <math xmlns=http://www.w3.org/1998/Math/MathML id=M3> <mfenced open=( close=) separators=|> <mrow> <mi>L</mi> <mo>,</mo> <mi>M</mi> </mrow> </mfenced> </math> -fuzzy topological convergence structure on a set <math xmlns=http://www.w3.org/1998/Math/MathML id=M4> <mi>X</mi> </math> is a mapping which defines a degree in <math xmlns=http://www.w3.org/1998/Math/MathML id=M5> <mi>M</mi> </math> for any <math xmlns=http://www.w3.org/1998/Math/MathML id=M6> <mi>L</mi> </math> -filter (of crisp degree) on <math xmlns=http://www.w3.org/1998/Math/MathML id=M7> <mi>X</mi> </math> to be convergent to a molecule in <math xmlns=http://www.w3.org/1998/Math/MathML id=M8> <msup> <mrow> <mi>L</mi> </mrow> <mrow> <mi>X</mi> </mrow> </msup> </math> . By means of <math xmlns=http://www.w3.org/1998/Math/MathML id=M9> <mfenced open=( close=) separators=|> <mrow> <mi>L</mi> <mo>,</mo> <mi>M</mi> </mrow> </mfenced> </math> -fuzzy topological neighborhood operators, we show that the category of <math xmlns=http://www.w3.org/1998/Math/MathML id=M10> <mfenced open=( close=) separators=|> <mrow> <mi>L</mi> <mo>,</mo> <mi>M</mi> </mrow> </mfenced> </math> -fuzzy topological convergence spaces is isomorphic to the category of <math xmlns=http://www.w3.org/1998/Math/MathML id=M11> <mfenced open=( close=) separators=|> <mrow> <mi>L</mi> <mo>,</mo> <mi>M</mi> </mrow> </mfenced> </math> -fuzzy topological spaces. Moreover, two characterizations of <math xmlns=http://www.w3.org/1998/Math/MathML id=M12> <mi>L</mi> </math> -topological spaces are presented and the relationship with other convergence spaces is concretely constructed." @default.
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- W3204701337 date "2021-10-01" @default.
- W3204701337 modified "2023-10-16" @default.
- W3204701337 title "Convergence Classes of L -Filters in L , M -Fuzzy Topological Spaces" @default.
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- W3204701337 doi "https://doi.org/10.1155/2021/8246173" @default.
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