The aim of this paper is to introduce the concepts of fuzzy T-locality groups. These constructs mainly will deal and relate with both fuzzy T-locality spaces (1995) and fuzzy TL-uniform spaces (2006). We establish some basic results and characterization theorems of fuzzy T-locality groups. Also, we give the necessary and the sufficient conditions for a group structure to be compatible with a fuzzy T-locality system.
Get full access to this article
View all access options for this article.
References
1.
AhsanullahT.M.G. and Al-ThukairF., T-neighbourhood groups, Int J of Mathematics and Mathematical Sciences14 (2004), 703–719.
2.
Yu Chunhai and Ma jiliang, L-fuzzy topological groups, Fuzzy Sets and Systems44 (1991), 83–91.
3.
GottwaldS., Set theory for fuzzy sets of higher level, Fuzzy Sets and Systems2 (1979), 125–151.
4.
HöhleU., Probabilistic metrization of fuzzy uniformities, Fuzzy Sets and Systems8 (1982), 63–69.
5.
jiliangMa and HajYu Chan, Fuzzy topological groups, Fuzzy Sets and Systems12 (1984), 289–299.
6.
HashemK.A. and MorsiN.N., Fuzzy TL-Uniform spaces, International Journal of Mathematics and Mathematical Sciences2006,1–24. Article ID 25094.
7.
LowenR., Fuzzy topological spaces and fuzzy compactness, J Math Anal Appl56 (1976), 621–633.
8.
LowenR., Fuzzy uniform spaces, J Math Anal Appl82 (1981), 370–385.