A characterization of trees with equal 2-domination and 2-independence numbers [PDF]
A set $S$ of vertices in a graph $G$ is a $2$-dominating set if every vertex of $G$ not in $S$ is adjacent to at least two vertices in $S$, and $S$ is a $2$-independent set if every vertex in $S$ is adjacent to at most one vertex of $S$.
Christoph Brause+2 more
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From Proof Nets to the Free *-Autonomous Category [PDF]
In the first part of this paper we present a theory of proof nets for full multiplicative linear logic, including the two units. It naturally extends the well-known theory of unit-free multiplicative proof nets.
Francois Lamarche, Lutz Strassburger
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Integrating Fuzzy Set Theory with Pandora Temporal Fault Trees for Dynamic Failure Analysis of Complex Systems [PDF]
Pandora temporal fault tree, as one notable extension of the fault tree, introduces temporal gates and temporal laws. Pandora Temporal Fault Tree(TFT) enhances the capability of fault trees and enables the modeling of system failure behavior that depends on sequences.
Hitesh Khungla, Mohit Kumar
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About the Strange Tree Paradox and Possible Inconsistency of Set Theory
Yury M. Volin
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General requirements for knowledge representation in the form of logic rules, applicable to design and control of industrial processes, are formulated. Characteristic behavior of decision trees (DTs) and rough sets theory (RST) in rules extraction from recorded data is discussed and illustrated with simple examples.
M. Perzyk, A. Soroczyński
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Overcoming the uncertainty in a research reactor LOCA in level-1 PSA; Fuzzy based fault-tree/event-tree analysis [PDF]
Probabilistic safety assessment (PSA) which plays a crucial role in risk evaluation is a quantitative approach intended to demonstrate how a nuclear reactor meets the safety margins as part of the licensing process.
Masoud Mohsendokht+1 more
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Meta-Tree Random Forest: Probabilistic Data-Generative Model and Bayes Optimal Prediction
This paper deals with a prediction problem of a new targeting variable corresponding to a new explanatory variable given a training dataset. To predict the targeting variable, we consider a model tree, which is used to represent a conditional ...
Nao Dobashi+3 more
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Revisiting Call-by-value B\"ohm trees in light of their Taylor expansion [PDF]
The call-by-value lambda calculus can be endowed with permutation rules, arising from linear logic proof-nets, having the advantage of unblocking some redexes that otherwise get stuck during the reduction.
Emma Kerinec+2 more
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Бінарна класифікація на основі поєднання теорії приблизних множин і дерев рішень
Предмет дослідження – підвищення точності та ефективності алгоритмів класифікації на основі дерев рішень за допомогою інтеграції принципів теорії приблизних множин (Rough Set), математичного підходу до апроксимації множин. Мета дослідження – розроблення
Dmytro Chernyshov, Dmytro Sytnikov
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On Laws of Thought—A Quantum-like Machine Learning Approach
Incorporating insights from quantum theory, we propose a machine learning-based decision-making model, including a logic tree and a value tree; a genetic programming algorithm is applied to optimize both the logic tree and value tree.
Lizhi Xin, Kevin Xin, Houwen Xin
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