Results 1 to 10 of about 576 (163)
Soft Relations Applied to the Substructures of Quantale Module and Their Approximation
Complexity, 2022 This research article offers a study on a new relation of rough sets and soft sets with an algebraic structure quantale module by using soft reflexive and soft compatible relations.
Saqib Mazher Qurashi +4 more
doaj +3 more sources
IEEE Access, 2023 This research paper has developed a way of roughness of fuzzy substructures by using soft relations for developing rough fuzzy substructures in Quantale module. Thus, an innovative concept of fuzzy substructures of Quantale module under rough environment
Bander Almutairi +2 more
exaly +4 more sources
Localization and Flatness in Quantale Theory
MathematicsThe study of flat ring morphisms is an important theme in commutative algebra. The purpose of this article is to develop an abstract theory of flatness in the framework of coherent quantales.
George Georgescu
exaly +4 more sources
Quantale-valued Cauchy tower spaces and completeness [PDF]
Applied General Topology, 2021 Generalizing the concept of a probabilistic Cauchy space, we introduce quantale-valued Cauchy tower spaces. These spaces encompass quantale-valued metric spaces, quantale-valued uniform (convergence) tower spaces and quantale-valued convergence tower ...
Gunther Jäger, T. M. G. Ahsanullah
doaj +2 more sources
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
doaj +1 more source
Formal balls of Q-categories [PDF]
Categories and General Algebraic Structures with Applications, 2023 The construction of the formal ball model for metric spaces due to Edalat and Heckmann was generalized to Q-categories by Kostanek and Waszkiewicz, where Q is a commutative and unital quantale.
Xianbo Yang, Dexue Zhang
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Characterization of Transitivity in L-Tolerance Spaces by Convergence and Closure
Axioms, 2021 We show that the category of quantale-valued tolerance spaces is isomorphic to a category of quantale-valued convergence spaces. We define suitable quantale-valued closure functions and use them to characterize transitivity axioms.
Gunther Jäger, T. M. G. Ahsanullah
doaj +1 more source
Morita contexts and unitary ideals of rings [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 In this paper we study Morita contexts between rings without identity. We prove that if two associative rings are connected by a Morita context with surjective mappings, then these rings have isomorphic quantales of unitary ideals.
Kristo Väljako, Valdis Laan
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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 +4 more
doaj +1 more source
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 +4 more
doaj +1 more source