Some properties of fuzzy disjointness in fuzzy lattices

Abstract

In this paper, we introduce the concept of fuzzy general disjointness property along with its notation. Our results indicate that a fuzzy section semi-complemented lattice possesses the fuzzy atomic covering property if it meets the criteria for the fuzzy atomic disjointness property. Furthermore, we establish that if a fuzzy section semicomplemented lattice satisfies the fuzzy disjointness property, then it is both fuzzy ⊥-modular and a fuzzy Birkhoff lattice.