SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES

SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES

P. Khubchandani, J. Khubchandani

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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.

Keywords

fuzzy lattices, fuzzy ⊥-distributive, fuzzy ⊥-modular, fuzzy general disjointness, fuzzy Birkhoff lattice, fuzzy atomic disjointness, fuzzy section semi-complemented lattice.