CHARACTERIZATIONS OF FUZZY ⊥-⊤ DISTRIBUTIVE LATTICE IN FUZZY LATTICES

CHARACTERIZATIONS OF FUZZY ⊥-⊤ DISTRIBUTIVE LATTICE IN FUZZY LATTICES

P. Khubchandani , J. Khubchandani

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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.

Keywords

fuzzy lattice, fuzzy ⊥-distributive, fuzzy ⊤-distributive, fuzzy pseudocomplemented, fuzzy sectionally semi-complemented lattice.