⊤-Nets and ⊤-Filters

Subject Areas : Transactions on Fuzzy Sets and Systems

Gunther Jager ^{1 *}

1 - School of Mechanical Engineering, University of Applied Sciences Stralsund, Stralsund, Germany.

Accepted : 2022-02-20 Published : 2022-05-07

Keywords:

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.