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Entropy of Closure Operators and Network Coding Solvability
Entropy, 2014 The entropy of a closure operator has been recently proposed for the study of network coding and secret sharing. In this paper, we study closure operators in relation to their entropy. We first introduce four different kinds of rank functions for a given
Maximilien Gadouleau
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Transcatheter closure of PDA: how the pathway changed from classical fluoroscopy approach [PDF]
Frontiers in Cardiovascular MedicinePatent ductus arteriosus (PDA) is a common congenital cardiac defect traditionally managed by surgical and transcatheter closure under fluoroscopic guidance. Over recent years, significant advances in imaging modalities, device technology, and procedural
Sisca Natalia Siagian +2 more
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Sobre o operador de fecho, um conceito que permeia muitos e distintos tópicos matemáticos
Intermaths, 2022 We present the closure operators and detach several distinct topics of mathematics in which we can observe the action of these closure operators. So, we can see these operators as a trans-topic concept. Considering that these mathematics theories can be
Hércules de Araujo Feitosa
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Attribute Reduction from Closure Operators and Matroids in Rough Set Theory [PDF]
Lecture Notes in Computer Science, 2020 Chris Cornelis +2 more
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Internal Neighbourhood Structures II: Closure and closed morphisms [PDF]
Categories and General Algebraic Structures with Applications, 2023 Internal preneighbourhood spaces inside any finitely complete category with finite coproducts and proper factorisation structure were first introduced in \cite{2020}.
Partha Pratim Ghosh
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Applications of operations on generalized topological spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper γµ -open sets and γµ -closed sets in a GTS (X, µ) have been studied, where γµ is an operation from µ to P(X). In general, collection of γµ -open sets is smaller than the collection of µ-open sets. The condition under which both are
B. Roy, T. Noiri
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Classes of algebras and closure operations [PDF]
Communications in Algebra, 2021 The calculus of classes and closure operations has proved to be a useful tool in group theory and has led to a deep theory in the study of finite soluble groups. More recently, parallel theories have started to be developed in various varieties of algebras, such as Lie, Leibniz, and Malcev algebras.
I. S. Gutierrez +2 more
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Implicative Closure Operators [PDF]
International Journal of Fuzzy Logic and Intelligent Systems, 2008 In this paper, we investigate the properties of implicative closure operators on the stsc-quantale L. We find implicative closure operators induced by a function.
Yong Chan Kim, Jung Mi Ko
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Improved inclusion-exclusion identities via closure operators [PDF]
Discrete Mathematics & Theoretical Computer Science, 2000 Let (A v) v ∈ V be a finite family of sets. We establish an improved inclusion-exclusion identity for each closure operator on the power set of V having the unique base property.
Klaus Dohmen
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Connectivity with respect to α-discrete closure operators
Open Mathematics, 2022 We discuss certain closure operators that generalize the Alexandroff topologies. Such a closure operator is defined for every ordinal α>0\alpha \gt 0 in such a way that the closure of a set AA is given by closures of certain α\alpha -indexed sequences ...
Šlapal Josef
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