⊤-Nets and ⊤-Filters
Subject Areas : Transactions on Fuzzy Sets and Systems
1 - School of Mechanical Engineering, University of Applied Sciences Stralsund, Stralsund, Germany.
Keywords: Fuzzy topology, Convergence, ⊤-filter, ⊤-net, Strong L-topological space.,
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.
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