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Neighborhood Systems: Rough Set Approximations and Definability

Fundamenta Informaticae, 2018
The notions of approximation and definability in classical rough set theory and their generalizations have received much attention. In this paper, we study such generalizations from the perspective of neighborhood systems. We introduce four different types of definability, called interior definability, closure definability, interior-closure (IC ...
Yu-Ru Syau, En-Bing Lin, Churn-Jung Liau
openaire   +3 more sources

A Fast Attribute Reduction Algorithm of Neighborhood Rough Set

2021 13th International Conference on Knowledge and Smart Technology (KST), 2021
The classic Pawlak rough set model is only suitable for processing discrete data, not continuous data directly. Pawlak rough set model needs discretization when processing continuous data, which will cause the loss of information in the data set. In this context, Hu proposed the neighborhood rough set (NRS) model, which greatly expanded the application
Wenhua Li, Shuyin Xia, Zizhong Chen
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Variable Radius Neighborhood Rough Sets and Attribute Reduction

International Journal of Approximate Reasoning, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Di Zhang, Ping Zhu 0001
exaly   +3 more sources

A rough set model based on fuzzifying neighborhood systems

Soft Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lingqiang Li   +3 more
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Neighborhood rough sets for dynamic data mining

International Journal of Intelligent Systems, 2012
Approximations of a concept in rough set theory induce rules and need to update for dynamic data mining and related tasks. Most existing incremental methods based on the classical rough set model can only be used to deal with the categorical data. This paper presents a new dynamic method for incrementally updating approximations of a concept under ...
Junbo Zhang 0004   +3 more
openaire   +2 more sources

Generalized weighted neighborhood rough sets

Information Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Ngoc Thuy   +2 more
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Neighborhood Systems and Variable Precision Generalized Rough Sets

Fundamenta Informaticae, 2017
In this paper, we present the connection between the concepts of Variable Precision Generalized Rough Set model (VPGRS-model) and Neighborhood Systems through binary relations. We provide characterizations of lower and upper approximations for VPGRS-model by introducing minimal neighborhood systems.
Yu-Ru Syau, En-Bing Lin, Churn-Jung Liau
openaire   +2 more sources

Neighborhood margin rough set: Self-tuning neighborhood threshold

International Journal of Approximate Reasoning
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mingjie Cai   +3 more
openaire   +1 more source

Palmprint Recognition Based on Neighborhood Rough Set

2010
Feature extraction is viewed as an important preprocessing step for pattern recognition, machine learning and data mining. Neighborhood rough set (NRS) based feature extracting algorithm is able to delete most of the redundant and irrelevant features, which avoid the step of data discretization and hence decreased the information lost in preprocess. In
Shanwen Zhang, Jiandu Liu
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A neighborhood rough set model with nominal metric embedding

Information Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sheng Luo 0006   +4 more
openaire   +3 more sources

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