Results 221 to 230 of about 48,526 (265)

Karl Popper and the Mechanisms of Hydrogen Embrittlement

Advanced Engineering Materials, EarlyView.
Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley   +1 more source

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TOLERANCE APPROXIMATION SPACES

Fundamenta Informaticae, 1996
We generalize the notion of an approximation space introduced in [8]. In tolerance approximation spaces we define the lower and upper set approximations. We investigate some attribute reduction problems for tolerance approximation spaces determined by tolerance information systems. The tolerance relation defined by the so called uncertainty function or
Andrzej Skowron, Jaroslaw Stepaniuk
openaire   +2 more sources

Best approximation in quotient probabilistic normed space

Journal of Applied Analysis, 2017
In this article, we study the best approximation in quotient probabilistic normed space. We define the notion of quotient space of a probabilistic normed space, then prove some theorems of approximation in quotient space are extended to quotient ...
Mausumi Sen, Binod Chandra Tripathy
exaly   +2 more sources

Weak Dependencies in Approximation Spaces

Fundamenta Informaticae, 2013
The article reviews the basics of the variable precision rough set and the Bayesian approaches to data dependencies detection and analysis. The variable precision rough set and the Bayesian rough set theories are extensions of the rough set theory. They are focused on the recognition and modelling of set overlap-based, also referred to as probabilistic,
Wojciech Ziarko, Xuguang Chen
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Soft Nearness Approximation Spaces

Fundamenta Informaticae, 2013
In 1999, Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In 2002, near set theory was initiated by J. F. Peters as a generalization of Pawlak's rough set theory. In the near set approach, every perceptual granule is a set of objects that have their origin in the physical world.
Mehmet Ali Öztürk, Ebubekir Inan
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Approximations and truth spaces

Journal of Philosophical Logic, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Definability and Approximations in Partial Approximation Spaces

2014
In this paper, we discuss the relationship occurring among the basic blocks of rough set theory: approximations, definable sets and exact sets. This is done in a very general framework, named Basic Approximation Space that generalizes and encompasses previous known definitions of Approximation Spaces.
CIUCCI, DAVIDE ELIO, Mihálydeák, T, Csajbók, Z.   +2 more
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Reinforcement Learning with Approximation Spaces

Fundamenta Informaticae, 2006
This paper introduces a rough set approach to reinforcement learning by swarms of cooperating agents. The problem considered in this paper is how to guide reinforcement learning based on knowledge of acceptable behavior patterns. This is made possible by considering behavior patterns of swarms in the context of approximation spaces.
James F. Peters, Christopher J. Henry
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Rough Approximations in General Approximation Spaces

2011
This paper is devoted to the discussion of rough approximations in general approximation space. The notions of transitive and Euclidean uncertainty mapping were introduced. The properties of some rough approximations were derived based on transitive and Euclidean uncertainty mappings.
Keyun Qin, Zheng Pei 0001, Yang Xu 0001
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Information quanta and approximation spaces II: generalised approximation spaces

2005 IEEE International Conference on Granular Computing, 2005
In the first part we have introduced non-classical upper and lower approximations of subsets of objects or properties, on the basis of the properties featured by Galois adjunctions between intensional and extensionnal operators. In the present part we introduce the higher order notions of an "information quantum" an "information quantum relational ...
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