Open AccessCategories isomorphic to (L,M)-DFTOP
Author(s) -
Ahmed Ramadan,
Ahmed A. Abd El-Latif
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2015.02.004
Subject(s) - mathematics , categorical variable , characterization (materials science) , antichain , topological space , fuzzy logic , combinatorics , discrete mathematics , pure mathematics , partially ordered set , computer science , artificial intelligence , statistics , materials science , nanotechnology
The aim of this paper is to introduce the notion of (L,M)-double fuzzy quasi-coincident neighborhood system, and investigate the relationships between (L,M)-double fuzzy quasi-coincident neighborhood spaces and (L,M)-double fuzzy topological spaces in the category aspect. Also, we give a characterization of (L,M)-DFTOP, which is called compatible antichain L-double topologies and consider the categorical connections between them. Finally, to better understand (L,M)-DFTOP, several categories were introduced