Results 41 to 50 of about 199 (160)
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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Mp- and purified residuated lattices
Soft Computing, 2022 Abstract In this paper, a combination of algebraic and topological methods is applied to obtain new and structural results on mp and purified residuated lattices. It is demonstrated that mp-residuated lattices strongly tied up with the dual hull-kernel topology.
Saeed Rasouli, Amin Dehghani
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The Relations between Residuated Frames and Residuated Connections
Mathematics, 2020 We introduce the notion of (dual) residuated frames as a viewpoint of relational semantics for a fuzzy logic. We investigate the relations between (dual) residuated frames and (dual) residuated connections as a topological viewpoint of fuzzy rough sets ...
Yong Chan Kim, Ju-Mok Oh
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ℒ-Fuzzy Ideals of Residuated Lattices
Discussiones Mathematicae - General Algebra and Applications, 2019 This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole +3 more
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Archimedean Residuated Lattices
Annals of the Alexandru Ioan Cuza University - Mathematics, 2010 Summary: For a residuated lattice \(A\) we denote by \(D_s(A)\) the lattice of all deductive systems (congruence filters) of \(A\). The aim of this paper is to put in evidence new characterizations for maximal and prime elements of \(D_s(A)\) and to characterize Archimedean and hyperarchimedean residuated lattices; so we prove some theorems of Nachbin ...
Buşneag, Dumitru +2 more
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Open Mathematics, 2020 In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
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The connection of hyper lattice implication algebras and related hyper algebras [PDF]
Journal of Hyperstructures, 2016 In this paper, we de ne the concepts of (good) con- gruences and strong congruences on hyper lattice implication alge- bras and use them to construct quotient hyper lattice implication algebras.
Shokoofeh Ghorbani
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Some decompositions of filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize ...
Piciu Dana +2 more
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Kernels of Residuated Maps as Complete Congruences in Lattices
International Journal of Computational Intelligence Systems, 2020 In a context of lattice-valued functions (also called lattice-valued fuzzy sets), where the codomain is a complete lattice L, an equivalence relation defined on L by the equality of related cuts is investigated.
Branimir Šešelja, Andreja Tepavčević
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An investigation on the $n$-fold IVRL-filters in triangle algebras [PDF]
Mathematica Bohemica, 2020 The present study aimed to introduce $n$-fold interval valued residuated lattice (IVRL for short) filters in triangle algebras. Initially, the notions of $n$-fold (positive) implicative IVRL-extended filters and $n$-fold (positive) implicative triangle ...
Saeide Zahiri, Arsham Borumand Saeid
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