Zobrazeno 1 - 10
of 879
pro vyhledávání: '"Quantale"'
Autor:
George Georgescu
Publikováno v:
Scientific Annals of Computer Science, Vol XXXIV, Iss 2, Pp 163-187 (2024)
The mz-elements of a coherent quantale have recently been defined by the author as an abstraction of the mz-ideals of a unital commutative ring. Having as its starting point the Dube and Ighedo recent paper on higher order ideals in ring theory, t
Externí odkaz:
https://doaj.org/article/c0ea6a9965484c5fa241da45f93cf40f
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 99-104 (2024)
Binary relations (BIRs) have many applications in computer science, graph theory, and rough set theory. This study discusses the combination of BIRs, fuzzy substructures of quantale, and rough fuzzy sets. Approximation of fuzzy subsets of quantale wi
Externí odkaz:
https://doaj.org/article/64ea2954d19d4879a5383a981e0a35c1
Publikováno v:
AIMS Mathematics, Vol 8, Iss 5, Pp 11684-11708 (2023)
The quantale module introduced by Abramsky and Vickers, engaged a large number of researchers. This research article focuses the combined behavior of rough set, soft set and an algebraic structure quantale module with the left action. In fact, the pa
Externí odkaz:
https://doaj.org/article/fc7816a16a2b4cb28d5a813fd70118f3
Autor:
Saqib Mazher Qurashi, Bander Almutairi, Rani Sumaira Kanwal, Anthony Karageorgos, Ayesha Saeed
Publikováno v:
IEEE Access, Vol 11, Pp 145897-145914 (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 environ
Externí odkaz:
https://doaj.org/article/3d53d87b152c4715b2e550b433c27f24
Publikováno v:
IEEE Access, Vol 11, Pp 88778-88794 (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. The extended notion of rough sets consists of successor class and an overlap of the suc
Externí odkaz:
https://doaj.org/article/0af7d67641564425a2c508ad0f5e9c36
Autor:
George Georgescu
Publikováno v:
Transactions on Fuzzy Sets and Systems, Vol 1, Iss 1, Pp 120-142 (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. This paper aims
Externí odkaz:
https://doaj.org/article/e175b14df21640f9b65bac6d198fba95
Autor:
Gunther Jäger, T. M. G. Ahsanullah
Publikováno v:
Applied General Topology, Vol 22, Iss 2, Pp 461-481 (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
Externí odkaz:
https://doaj.org/article/65aaa61f54154e86a6a6140aff3f0580
Autor:
Xianbo Yang, Dexue Zhang
Publikováno v:
Categories and General Algebraic Structures with Applications, Vol 18, Iss 1 (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. This paper concerns the influence of the structure of th
Externí odkaz:
https://doaj.org/article/db1a7871fa424cfe9b3fb9a0e611dfdd
Autor:
George Georgescu
Publikováno v:
Journal of Fuzzy Extension and Applications, Vol 2, Iss 2, Pp 106-119 (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. In thi
Externí odkaz:
https://doaj.org/article/1bd76c2a6f8c4f728dde4b30a1931c3a
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