Results 1 to 10 of about 34 (34)
Representation and Construction of Intuitionistic Fuzzy š¯’Æ -Preorders and Fuzzy Weak š¯’Æ -Orders
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper, we consider the problem of representation and construction of intuitionistic fuzzy preorders and weak orders, where many fundamental representation results extending those of Ulrich Bodenhofer et al. are presented.
Ziane Brahim, Amroune Abdelaziz
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Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper, we introduce Sheffer Stroke UP-algebra (in short, SUP-algebra) and study its properties. We demonstrate that the Cartesian product of two SUP-algebras is a SUP-algebra.
Oner Tahsin +2 more
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n-Fold Fantastic and n-Fold Involutive Ideals in Bounded Commutative Residuated Lattices
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we introduce the concepts of n-fold obstinate ideals, n-fold normal ideals, n-fold fantastic ideals and n-fold involutive ideals in residuated lattices, state and prove some of their properties.
Yinga Fabrice Tchoua +2 more
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Towards a Ring Analogue of the Leftover Hash Lemma
Journal of Mathematical Cryptology, 2020 The leftover hash lemma (LHL) is used in the analysis of various lattice-based cryptosystems, such as the Regev and Dual-Regev encryption schemes as well as their leakage-resilient counterparts. The LHL does not hold in the ring setting, when the ring is
Dachman-Soled Dana +3 more
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Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE ...
Katican Tugce +2 more
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Filters of strong Sheffer stroke non-associative MV-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, at first we study strong Sheffer stroke NMV-algebra. For getting more results and some classification, the notions of filters and subalgebras are introduced and studied.
Oner Tahsin +3 more
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Residuated skew lattices with modal operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we define modal operators in residuated skew lattices and prove some fundamental properties of monotone modal operators on residuated skew lattices (RSL). We prove that the composition of two modal operators is a modal operator if and only
Koohnavard Roghayeh +1 more
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Flattening NTRU for Evaluation Key Free Homomorphic Encryption
Journal of Mathematical Cryptology, 2020 We propose a new FHE scheme F-NTRU that adopts the flattening technique proposed in GSW to derive an NTRU based scheme that (similar to GSW) does not require evaluation keys or key switching.
Dorƶz Yarkın, Sunar Berk
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Regular and Boolean elements in hoops and constructing Boolean algebras using regular filters
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 We study hoops in order to give some new characterizations for regular and Boolean elements in hoops and we study the relationship between them. Specially, we prove that any bounded v-hoop is a Stone algebra if and only if MV -center set and Boolean ...
Aaly Kologani M. +2 more
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Class of Sheffer stroke BCK-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, Sheffer stroke BCK-algebra is defined and its features are investigated. It is indicated that the axioms of a Sheffer stroke BCK-algebra are independent.
Oner Tahsin +2 more
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