Results 21 to 30 of about 1,450 (155)

On (L,M)-Double Fuzzy Filter Spaces

Advances in Fuzzy Systems, 2018
We give in this paper the definitions of (L,M)-double fuzzy filter base and (L,M)-double fuzzy filter structures where L and M are strictly two-sided commutative quantales, and we also investigate the relations between them.
A. A. Abd El-Latif, H. Aygün, V. Çetkin   +2 more
doaj   +2 more sources

Quantales for Fuzzy Sets and Relations of Higher Types

Mathematics
In this paper, we open up more possibilities to define higher types of fuzzy sets in a mixed way. In doing so, we show that there are essentially two alternative definitions for fuzzy sets of higher types, one of which is widely adopted in the literature,
Patrik Eklund, Jari Kortelainen, Magnus Löfstrand   +2 more
doaj   +2 more sources

Generalized Lower and Upper Approximations in Quantales

Journal of Applied Mathematics, 2012
We introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively.
Qimei Xiao, Qingguo Li
doaj   +2 more sources

Relationship of Algebraic Theories to Powerset Theories and Fuzzy Topological Theories for Lattice-Valued Mathematics

International Journal of Mathematics and Mathematical Sciences, 2007
This paper deals with a broad question—to what extent is topology algebraic—using two specific questions: (1) what are the algebraic conditions on the underlying membership lattices which insure that categories for topology and fuzzy topology are indeed ...
S. E. Rodabaugh
doaj   +2 more sources

Higher Order mz-elements in Coherent Quantales

Scientific Annals of Computer Science
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, this ...
George Georgescu
doaj   +2 more sources

Binary relations applied to the fuzzy substructures of quantales under rough environment

Demonstratio Mathematica
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.
Mazher Qurashi Saqib, Almutairi Bander, Xin Qin, Sumaira Kanwal Rani, Aqsa   +4 more
doaj   +2 more sources

Topological Groupoid Quantales [PDF]

Studia Logica, 2010
A quantale is a complete join-semilattice with an associative, completely distributive, binary operation. If, moreover, it is endowed with a unary operation satisfying identities with generalized inverse elements, then it is called an involutive quantale.
Palmigiano, A., Re, R.
openaire   +7 more sources

Characterizing weak fraction-dense and other coherent quantales by localization [PDF]

Electronic Journal of Mathematics
George Georgescu
doaj   +2 more sources

Weakly Complemented Quantales and Localization [PDF]

Electronic Journal of Mathematics
George Georgescu
doaj   +2 more sources

A Quantale of Information [PDF]

2021 IEEE 34th Computer Security Foundations Symposium (CSF), 2021
Information flow properties are the semantic cornerstone of a wide range of program transformations, program analyses, and security properties. The variety of information that can be transmitted from inputs to outputs in a deterministic system can be captured by representing information as equivalence relations over the sets of possible values, using ...
Hunt, S., Sands, D.
openaire   +2 more sources