Results 31 to 40 of about 2,056 (173)
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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Graph based on residuated lattices [PDF]
Journal of Hyperstructures, 2014 In this paper, the residuated graph of residuated lattices will be studied. To do so, the notion of zero divisors of a nonempty subset of a residuated lattice is first introduced and some related properties are investigated.
L. Torkzadeh, A. Ahadpanh, M. Behzadi
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A Proof of Tarski’s Fixed Point Theorem by Application of Galois Connections [PDF]
, 2014 Two examples of Galois connections and their dual forms are considered. One of them is applied to formulate a criterion when a given subset of a complete lattice forms a complete lattice.
A. Tarski +8 more
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ℒ‐Fuzzy Cosets of ℒ‐Fuzzy Filters of Residuated Multilattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 This paper mainly focuses on building the ℒ‐fuzzy filter theory of residuated multilattices. Firstly, we introduce the concepts of ℒ‐fuzzy filter and ℒ‐fuzzy deductive system of residuated multilattices. Then, we highlight their properties and show how they are linked.
Pierre Carole Kengne +4 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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Certain Concepts of Q‐Hesitant Fuzzy Ideals
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The hesitant fuzzy set model has attracted the interest of scholars in various fields. The striking framework of hesitant fuzzy sets is keen to provide a larger domain of preference for fuzzy information modeling of deployment membership. Starting from the hybrid properties of hesitant fuzzy ideals (HFI), this paper constructs a new generalized hybrid ...
Lubna Abdul Aziz Alleheb +2 more
wiley +1 more source
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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Priestley duality for MV-algebras and beyond [PDF]
, 2020 We provide a new perspective on extended Priestley duality for a large class of distributive lattices equipped with binary double quasioperators. Under this approach, non-lattice binary operations are each presented as a pair of partial binary operations
Fussner, Wesley +3 more
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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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A representation theorem for integral rigs and its applications to residuated lattices [PDF]
, 2015 We prove that every integral rig in Sets is (functorially) the rig of global sections of a sheaf of really local integral rigs. We also show that this representation result may be lifted to residuated integral rigs and then restricted to varieties of ...
Botero, W. J. Zuluaga +2 more
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