Novel categorical relations between $ \mathcal{L} $-fuzzy co-topologies and $ \mathcal{L} $-fuzzy ideals

Abstract

The goal of this paper is to construct novel relationships among $ \mathcal{L} $-fuzzy ideal, $ \mathcal{L} $-fuzzy co-topological, and $ \mathcal{L} $-fuzzy pre-proximity spaces in complete residuated lattices. We illustrate and prove four functors between the categories of those spaces and finally, we give examples.

Keywords

• complete residuated lattice
• $ \mathcal{l} $-fuzzy ideal
• $ \mathcal{l} $-fuzzy co-topological space
• $ \mathcal{l} $-fuzzy pre-proximity
• functors