Results 1 to 10 of about 1,450 (155)

Unitless Frobenius Quantales [PDF]

Applied Categorical Structures, 2022
It is often stated that Frobenius quantales are necessarily unital. By taking negation as a primitive operation, we can define Frobenius quantales that may not have a unit. We develop the elementary theory of these structures and show, in particular, how
Cédric de Lacroix, L. Santocanale
semanticscholar   +10 more sources

Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]

Comput Intell Neurosci, 2022
The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations.
Zhou H, Qurashi SM, Rehman MU, Shabir M, Kanwal RS, Khalil AM.   +5 more
europepmc   +3 more sources

Generalized Rough Fuzzy Ideals in Quantales [PDF]

Discrete Dynamics in Nature and Society, 2018
The paper examines the generalized rough fuzzy ideals of quantales. There are some intrinsic relations between fuzzy prime (primary) ideals of quantales and generalized rough fuzzy prime (primary) ideals of quantales.
Saqib Mazher Qurashi, Muhammad Shabir
doaj   +3 more sources

On ideals in quantales, I [PDF]

Discussiones Mathematicae - General Algebra and Applications, 2023
Taking a ring-theoretic perspective as our motivation, the main aim of this series is to establish a comprehensive theory of ideals in commutative quantales with an identity element.
Amartya Goswami
doaj   +4 more sources

Generalization of Rough Bi-ideals in Quantales Based on Cores of Successor Classes Under Fuzzy Relations

International Journal of Computational Intelligence Systems
In quantales, algebraic structures that use fuzzy relations and cores of successor class, the notion of upper and lower approximation bi-ideals is introduced.
Maasoomah Sadaf, Saqib Qurashi, Ghazala Akram   +2 more
exaly   +3 more sources

A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory

Complexity, 2023
In this paper, we use an algebraic structure quantale and define the idea of fuzzy soft substructures as a generalization of fuzzy substructures in quantale.
Saqib Mazher Qurashi, Muhammad Gulzar, Rani Sumaira Kanwal, Dilruba Akter, Muhammad Shawaiz Safdar   +4 more
doaj   +2 more sources

Rough Substructures Based on Overlaps of Successor in Quantales Under Serial Fuzzy Relations

IEEE Access, 2023
In this research article, a new connection between serial fuzzy relations and an extended version of rough sets in an algebraic structure quantale is established.
Saqib Mazher Qurashi, Bander Almutairi, Rani Sumaira Kanwal, Mladen Krstic, Muhammad Yousaf   +4 more
doaj   +2 more sources

Involutive Quantales and Quantale-Enriched Involutive Topological Spaces [PDF]

Applied Categorical Structures
In this paper, we provide a comprehensive analysis of involutive quantales, with a particular focus on quantic frames. We extend the axiomatic foundations of quantale-enriched topological spaces to include closure under the anti-homomorphic involution ...
J. Gutiérrez García, Ulrich Höhle
semanticscholar   +3 more sources

N–pure and weak–pure elements in coherent quantales [PDF]

Electronic Journal of Mathematics
The N -pure ideals of a commutative ring have been introduced and studied by Aghajani in the recent paper [ Bull. Korean Math. Soc. 59 (2022) 1237–1246].
George Georgescu
doaj   +2 more sources

New characterization theorems of the mp-quantales [PDF]

Journal of Fuzzy Extension and Applications, 2021
The mp-quantales were introduced in a previous paper as an abstraction of the lattices of ideals in mp-rings and the lattices of ideals in conormal lattices. Several properties of m-rings and conormal lattices were generalized to mp-quantales.
George Georgescu
doaj   +2 more sources