Results 1 to 10 of about 204 (74)
Commutative Rings Behind Divisible Residuated Lattices [PDF]
MathematicsDivisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek’s basic logic with an important significance in the study of fuzzy logic.
Cristina Flaut, Dana Piciu
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k-Hyperarc Consistency for Soft Constraints over Divisible Residuated Lattices [PDF]
, 2008 15 ...
Simone Bova
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The relations among fuzzy t-filters on residuated lattices. [PDF]
ScientificWorldJournal, 2014 We give the simple general principle of studying the relations among fuzzy t‐filters on residuated lattices. Using the general principle, we can easily determine the relations among fuzzy t‐filters on different logical algebras.
Zhang H, Li Q.
europepmc +2 more sources
Soft Constraints Processing over Divisible Residuated Lattices [PDF]
, 2009 We claim that divisible residuated lattices (DRLs) can act as a unifying evaluation framework for soft constraint satisfaction problems (soft CSPs). DRLs form the algebraic semantics of a large family of substructural and fuzzy logics [13,15], and are therefore natural candidates for this role.
Simone Bova
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Residuation in orthomodular lattices
Topological Algebra and its Applications, 2017 We show that every idempotent weakly divisible residuated lattice satisfying the double negation law can be transformed into an orthomodular lattice. The converse holds if adjointness is replaced by conditional adjointness.
Chajda Ivan, Länger Helmut
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New topology in residuated lattices
Open Mathematics, 2018 In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space.
Holdon L.C.
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Residual Division Graph of Lattice Modules [PDF]
Journal of Mathematics, 2022 Let L be a multiplicative lattice and M be a lattice module over L. In this paper, we assign a graph to M called residual division graph RG(M) in which the element N ∈ M is a vertex if there exists 0M ≠ P ∈ M such that NP = 0M and two vertices N1, N2 are adjacent if N1N2 = 0M (where N1N2 = (N1 : IM)(N2 : IM)IM).
Ganesh Gandal +2 more
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Fuzzy Ideals in Pseudo‐Hoop Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 In this study, fuzzy ideals in pseudo‐hoop algebras are presented. Also, we investigate fuzzy congruences relations on pseudo‐hoop algebras induced by fuzzy ideals. By using fuzzy ideals, we create the fuzzy quotient pseudo‐hoop algebras and identify and demonstrate the one‐to‐one relationship between the set of all normal fuzzy ideals of a pseudo‐hoop
Teferi Getachew Alemayehu +1 more
wiley +1 more source
Gődel filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the ...
Piciu Dana +2 more
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On State Ideals and State Relative Annihilators in De Morgan State Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The concept of state has been considered in commutative and noncommutative logical systems, and their properties are at the center for the development of an algebraic investigation of probabilistic models for those algebras. This article mainly focuses on the study of the lattice of state ideals in De Morgan state residuated lattices (DMSRLs).
Francis Woumfo +4 more
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