Geodesic
Fuzzy Distributive Pairs in Fuzzy Lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 1, pp. 179-199

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We generalize the concept of a fuzzy distributive lattice by introducing the concepts of a fuzzy join-distributive pair and a fuzzy join-semidistributive pair in a fuzzy lattice. A relationship among a fuzzy join-distributive pair, a fuzzy join-semidistributive pair and a fuzzy join-modular pair is proved. It is shown that for a pair of fuzzy atoms, the notions of a fuzzy join-distributive pair and a fuzzy join-semidistributive pair coincide.
Keywords: fuzzy lattices, fuzzy modular pair, fuzzy distributive pair, fuzzy semi-distributive pair 
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Wasadikar, Meenakshi; Khubchandani, Payal. Fuzzy Distributive Pairs in Fuzzy Lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 1, pp. 179-199. http://geodesic.mathdoc.fr/item/DMGAA_2022_42_1_a8/