Title of article :
⊤-Nets and ⊤-Filters
Author/Authors :
Jäger ، Gunther School of Mechanical Engineering - University of Applied Sciences Stralsund
Abstract :
In this paper, we develop a theory of ⊤-nets and study their relation to ⊤-filters. We show that convergence in strong L-topological spaces can be described by both ⊤-nets and ⊤-filters and both concepts are equivalent in the sense that definitions and proofs that are given using ⊤-filters can also be given using ⊤-nets and vice versa.
Keywords :
Fuzzy topology , Convergence , ⊤ , filter , ⊤ , net , Strong L , topological space
Journal title :
Transactions on Fuzzy Sets and Systems
Journal title :
Transactions on Fuzzy Sets and Systems
