Results 51 to 60 of about 74,358 (176)
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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Lifting Elements in Coherent Quantales [PDF]
Transactions on Fuzzy Sets and Systems, 2022 An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
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The sheaf representation of residuated lattices
, 2023 The residuated lattices form one of the most important algebras of fuzzylogics and have been heavily studied by people from various different points ofview. Sheaf presentations provide a topological approach to many algebraicstructures. In this paper, we
Zhao, Dongsheng, Zhang, Huarong
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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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Attribute Implication Bases From Galois Connection Structures
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2729-2753, 15 March 2026.ABSTRACT Modeling knowledge systems by determining relationships among key variables have been and currently is a fundamental and nontrivial challenge in real‐world scenarios. Many approaches have been developed to reach this goal, but many of them are heuristic and require of alternative procedures to provide robust and tractable rules.
M. Eugenia Cornejo +2 more
wiley +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we define residuated skew lattice as non-commutative generalization of residuated lattice and investigate its properties. We show that Green’s relation 𝔻 is a congruence relation on residuated skew lattice and its quotient algebra is a ...
Saeid Arsham Borumand +1 more
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Pseudo General Overlap Functions and Weak Inflationary Pseudo BL-Algebras
Mathematics, 2022 General overlap functions are generalized on the basis of overlap functions, which have better application effects in classification problems, and the (weak) inflationary BL-algebras as the related algebraic structure were also studied.
Rong Liang, Xiaohong Zhang
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New Fixed‐Point and Common Fixed‐Point Results in Finite‐Dimensional Normed Pre‐A∗ Vector Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper establishes new fixed‐point and common fixed‐point theorems for continuous and asymptotically regular self‐maps defined on finite‐dimensional normed pre‐A∗ vector spaces over σ‐complete pre‐A∗‐algebras. We prove that every continuous and asymptotically regular self‐map on such a space has at least one fixed point (Theorem 2).
Kidanemariam Birhane Gebremedhin +3 more
wiley +1 more source
Hyper Rl-Ideals in Hyper Residuated Lattices
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we introduce the notion of a (strong) hyper RL-ideal in hyper residuated lattices and give some properties and characterizations of them.
Bakhshi Mahmood
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