Results 251 to 260 of about 164,476 (314)

Multifuzzy $\beta$-Covering Approximation Spaces and Their Information Measures

IEEE transactions on fuzzy systems, 2023
Fuzzy $\beta$-covering rough sets, as an effective extension of covering-based rough sets, have been concerned by many researchers. All fuzzy $\beta$-covering rough set models are constructed under a corresponding fuzzy $\beta$-covering approximation ...
Jianhua Dai, Xiongtao Zou, Yuhua Qian, Xizhao Wang   +3 more
semanticscholar   +1 more source

The Product Approximation Spaces of Two Covering Approximation Spaces

2016 8th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC), 2016
In this paper, we define a new type of covering approximation space which is called product approximation space of two covering approximation spaces. Based on the important concepts of neighborhood and complementary neighborhood in covering rough set theory, we define four pairs of lower and upper approximation operators on this type of approximation ...
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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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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,
Ziarko, Wojciech, Chen, Xugunag
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Approximation Space and LEM2-like Algorithms for Computing Local Coverings

Fundamenta Informaticae, 2008
In this paper we discuss approximation spaces that are useful for studying local lower and upper approximations. Set definability and properties of the approximation space, including best approximations, are considered as well.
J. Grzymala-Busse, W. Rzasa
semanticscholar   +1 more source

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, Yang Xu
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L -fuzzy approximating spaces

Journal of Intelligent & Fuzzy Systems, 2019
Rough set theory (for short, RST) are widely applied to artificial intelligence. Fuzzy rough sets (for short, FRSs) are the results of approximation of fuzzy sets on a fuzzy approximation space. In this paper, L -fuzzy is briefly denoted by LF . We study a topological problem of FRSs based on
Zeng, Jiasheng, Wang, Pei
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Constrained Approximation in Banach Spaces

Constructive Approximation, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimized Tensor-Product Approximation Spaces

Constructive Approximation, 2000
The authors deal with the construction of finite element spaces for the approximate solution of symmetric elliptic variational problems in Sobolev spaces. They construct operator adapted finite element subspaces with a lower dimension than the standard full-grid spaces.
Griebel, M., Knapek, S.
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A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Journal of nonlinear science, 2014
The Koopman operator is a linear but infinite-dimensional operator that governs the evolution of scalar observables defined on the state space of an autonomous dynamical system and is a powerful tool for the analysis and decomposition of nonlinear ...
Matthew O. Williams, I. Kevrekidis, Clarence W. Rowley   +2 more
semanticscholar   +1 more source