Results 11 to 20 of about 41 (41)
Some operations on lattice implication algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 1, Page 45-52, 2001., 2001 We introduce the concept of a ⊗‐closed set and a ⊗‐homomorphism in lattice implication algebras, and we discuss some of their properties. Next, we introduce the fuzzy implicative filter and obtain equivalent conditions. Finally, we discuss the operation ⊗, fuzzy filters and fuzzy implicative filters.
E. H. Roh +3 more
wiley +1 more source
Aggregating Fuzzy Binary Relations and Fuzzy Filters
Discussiones Mathematicae - General Algebra and Applications, 2018 The main goal of this paper is to investigate the aggregation of diverse families of binary fuzzy relations, fuzzy filters, and fuzzy lattices. Some links between these families and their images via an aggregation are explored.
Amroune Abdelaziz, Aissa Bouad
doaj +1 more source
Fantastic filters of lattice implication algebras
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 4, Page 277-281, 2000., 2000 The notion of a fantastic filter in a lattice implication algebra is introduced, and the relations among filter, positive implicative filter, and fantastic filter are given. We investigate an equivalent condition for a filter to be fantastic, and state an extension property for fantastic filter.
Young Bae Jun
wiley +1 more source
Weak Relative Complements in Almost Distributive Lattices
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, the concept of relative complementation in almost distributive lattice is generalized. We obtain several properties on the sets of weak relative complement elements.
Sirisetti Ramesh, Jogarao G.
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f-Fixed Points of Isotone f-Derivations on a Lattice
Discussiones Mathematicae - General Algebra and Applications, 2019 In a recent paper, Çeven and Öztürk have generalized the notion of derivation on a lattice to f-derivation, where f is a given function of that lattice into itself.
Zedam Lemnaouar +2 more
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Congruences and Trajectories in Planar Semimodular Lattices
Discussiones Mathematicae - General Algebra and Applications, 2018 A 1955 result of J. Jakubík states that for the prime intervals p and q of a finite lattice, con(p) ≥ con(q) iff p is congruence-projective to q (via intervals of arbitrary size).
Grätzer G.
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On Fuzzy Ideals of Subtraction Algebras
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2013 : In this paper, we introduce the notion of fuzzy interior ideal, fuzzy bi-ideal, intuitionistic fuzzy interior ideal and intuitionistic fuzzy bi-ideal of a subtraction semigroup.
Yılmaz Çeven, Zekiye Çiloğlu
doaj
Orthopseudorings and congruences on distributive lattice with dual weak complementation. [PDF]
Heliyon, 2023 Rezk EG.
europepmc +1 more source
Prime ideals in 0-distributive posets
Open Mathematics, 2013 Joshi Vinayak, Mundlik Nilesh
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