Geodesic
Fuzzy pretopogenous structure based on way below relation
Filomat, Tome 37 (2023) no. 19, p. 6427

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DOI

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.
DOI : 10.2298/FIL2319427S
Classification : 54A05, 54A15, 54A40, 03G10
Keywords: L-fuzzifying topology, Pretopogenous structure, Way below relation 
O R Sayed; O G Hammad. Fuzzy pretopogenous structure based on way below relation. Filomat, Tome 37 (2023) no. 19, p. 6427 . doi: 10.2298/FIL2319427S
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     title = {Fuzzy pretopogenous structure based on way below relation},
     journal = {Filomat},
     pages = {6427 },
     year = {2023},
     volume = {37},
     number = {19},
     doi = {10.2298/FIL2319427S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2319427S/}
}
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