Characterizations of fuzzy ⊥-⊤ distributive lattice in fuzzy lattices

Abstract

This paper introduces the notion of fuzzy ⊥-distributive lattice in fuzzy lattice. Additionally, we define the concept of fuzzy ⊥-⊤-distributive lattice in fuzzy lattice. We demonstrate that a fuzzy sectionally semi-complemented lattice is a fuzzy distributive lattice if and only if it is a fuzzy ⊥-distributive lattice. Furthermore, we prove that a fuzzy pseudocomplemented lattice is also a fuzzy ⊥-distributive lattice.