Research Abstract
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.
https://doi.org/10.2298/FIL2319427S
Research Date
Research Department
Research Journal
Filomat
Research Member
Research Publisher
Published by Faculty of Sciences and Mathematics, University of Niˇs, Serbia
Research Rank
Q2
Research Vol
37:19
Research Website
http://www.pmf.ni.ac.rs/filomat
Research Year
2023
Research Pages
6427–6441