<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>L</mml:mi></mml:math>-fuzzifying preproximity spaces and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>L</mml:mi></mml:math>-fuzzifying preuniform spaces

Abd-Allah, M. Azab

doi:10.1016/j.aml.2010.04.041

Applied Mathematics Letters

2010

DOI: 10.1016/j.aml.2010.04.041

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L-fuzzifying preproximity spaces and L-fuzzifying preuniform spaces

M. Azab Abd-Allah

Abstract: a b s t r a c tThe aim of this work is to introduce and study the notions of L-fuzzifying preproximity spaces and L-fuzzifying preuniform spaces. We use the way-below relation for defining L-fuzzifying preproximity. Some interactions between these spaces and L-fuzzifying topological spaces are studied.

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2023

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Fuzzy pretopogenous structure based on way below relation

Sayed,

Hammad

2023

Filomat

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This paper aims to define fuzzy pretopogenous structure based on way below relation (or an L-fuzzifying pretopogenous structure (LFPT structure, for short)) and study some of its properties. Also, the concepts of L-fuzzifying pre-neighborhood, L-fuzzifying pre-interior, and L-fuzzifying pre-closure operators are established and we used these concepts to build an L-fuzzifying topology. Furthermore, a natural link is established between L-fuzzifying pretopogenous and L-fuzzifying topology. Finally, the maps between L-fuzzifying pretopogenous structures and initial fuzzifying structures are investigated.

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Fuzzy pretopogenous structure based on way below relation

Sayed,

Hammad

2023

Filomat

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show abstract

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L-fuzzifying preproximity spaces and L-fuzzifying preuniform spaces

Cited by 1 publication

References 12 publications

Fuzzy pretopogenous structure based on way below relation

Fuzzy pretopogenous structure based on way below relation

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