Results 11 to 20 of about 74,358 (176)
Regular Partial Residuated Lattices and Their Filters
Mathematics, 2022 To express wider uncertainty, Běhounek and Daňková studied fuzzy partial logic and partial function. At the same time, Borzooei generalized t-norms and put forward the concept of partial t-norms when studying lattice valued quantum effect algebras. Based
Nan Sheng, Xiaohong Zhang
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Gluing Residuated Lattices [PDF]
Order, 2023 This is a preprint.
Nikolaos Galatos, Sara Ugolini
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Residuated Structures and Orthomodular Lattices [PDF]
Studia Logica, 2021 AbstractThe variety of (pointed) residuated lattices includes a vast proportion of the classes of algebras that are relevant for algebraic logic, e.g., $$\ell $$ ℓ -groups, Heyting algebras, MV-algebras, or De Morgan monoids.
fazio, davide +2 more
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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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Residuated Lattices with Noetherian Spectrum
Mathematics, 2022 In this paper, we characterize residuated lattices for which the topological space of prime ideals is a Noetherian space. The notion of i-Noetherian residuated lattice is introduced and related properties are investigated.
Dana Piciu, Diana Savin
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Folding Theory Applied to Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, 2014 Residuated lattices play an important role in the study of fuzzy logic based on t-norms. In this paper, we introduce some notions of n-fold filters in residuated lattices, study the relations among them, and compare them with prime, maximal and primary ...
Albert Kadji +3 more
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Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices
Axioms, 2023 This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial ...
Xiaohong Zhang +2 more
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Integrally Closed Residuated Lattices [PDF]
Studia Logica, 2019 A residuated lattice is defined to be integrally closed if it satisfies the equations x\x = e and x/x = e. Every integral, cancellative, or divisible residuated lattice is integrally closed, and, conversely, every bounded integrally closed residuated lattice is integral.
José Gil-Férez +2 more
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Stable Topology on Ideals for Residuated Lattices
Transactions on Fuzzy Sets and SystemsResiduated lattices are the major algebraic counterpart of logics without contraction rule, as they are more generalized logic systems including important classes of algebras such as Boolean algebras, MV-algebras, BL-algebras, Stonean residuated lattices,
Ariane GABRIEL Tallee Kakeu +4 more
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Commutative Rings Behind Divisible Residuated Lattices
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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