Results 51 to 60 of about 200 (159)

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, Jesús Medina, Francisco José Ocaña   +2 more
wiley   +1 more source

On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the context of a d‐algebra structure (℧, ∗, 0), this paper aims to introduce the concept of a multiplicative (generalized)‐derivation G associated with a self‐map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as ...
Hicham Saber, Zakia Z. Al-Amery, Radwan M. Al-Omary, Khaled Aldwoah, Ria Egami, Pramita Mishra   +5 more
wiley   +1 more source

Residuation in orthomodular lattices

Topological Algebra and its Applications, 2017
We show that every idempotent weakly divisible residuated lattice satisfying the double negation law can be transformed into an orthomodular lattice. The converse holds if adjointness is replaced by conditional adjointness.
Chajda Ivan, Länger Helmut
doaj   +1 more source

(f, g)-DERIVATIONS IN RESIDUATED LATTICES [PDF]

Journal of Algebraic Systems
In this paper, we present and examine the characteristics of (f, g)-derivations for a residuated lattice. Some relationships between (f, g)-derivationand isotone, contractive and ideal (f, g)-derivations are given.
Mbarek Zaoui, Driss Gretete, Brahim Fahid   +2 more
doaj   +1 more source

H‐Fuzzy Ideals and H‐Fuzzy Filters in Distributive Join‐Semilattices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates H‐fuzzy ideals of distributive join‐semilattices with least element 0 whose codomain is a complete lattice that satisfies the infinite meet distributive law. We also construct a number of characterizations for any H‐fuzzy ideal generated by an H‐fuzzy subset.
Mohammed Amare Mohammed, Berehanu Bekele Belayneh, Zelalem Teshome Wale, Gezahagne Mulat Addis, G. Muhiuddin   +4 more
wiley   +1 more source

Fixed‐Point Hoop Algebras and Lattice‐Theoretic Properties of Derivation Classes

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We introduce three classes of derivations on hoop algebras—pseudo implicative, implicative, and f‐implicative—and investigate their algebraic characteristics through detailed examples. We establish that, under natural conditions, the collection of pseudo implicative derivations forms a bounded distributive lattice.
Ali Madanshekaf, Mohammad Mahdi Motamedi Nezhad, Smritijit Sen   +2 more
wiley   +1 more source

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
doaj   +1 more source

Alexandrov LF‐Rough Topogenous Structures: Theory and Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The aim of this paper is to investigate the relationships between Alexandrov LF‐rough topogenous spaces and Alexandrov LF‐rough closure (interior) spaces based on LF‐rough sets. We establish several mappings inspired by the subsethood degree of two LF‐subsets to generate Alexandrov LF‐rough topogenous order spaces.
Ahmed A. Ramadan, Anwar J. Fawakhreh, Tareq M. Al-shami, Smritijit Sen   +3 more
wiley   +1 more source

Co-stone Residuated Lattices [PDF]

2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010
33 ...
openaire   +2 more sources

Computational reaching of quantified consequences from imperfect initial data

Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 4232-4243, 15 March 2025.
Usually, it is not direct to translate theoretical results to practice. One of the challenges is the real computation of solutions to proposed problems, when infinite numbers (such as real numbers or the unit interval) are considered. The same is true when consequences (information) from a data set modeled by logical rules need to be obtained.
Jesús Medina, José Antonio Torné‐Zambrano   +1 more
wiley   +1 more source