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Article
Uncertainty Measure-Based Incremental Feature Selection For Hierarchical Classification
In the era of big data, there exist complex structure between different classes labels. Hierarchical structure, among others, has become a representative one, which is mathematically depicted as a tree-like st...
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Article
Forbidden subgraphs in enhanced power graphs of finite groups
The enhanced power graph of a group is the simple graph whose vertex set is consisted of all elements of the group, and whose any pair of vertices are adjacent if they generate a cyclic subgroup. In this paper...
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Article
Incremental feature selection for large-scale hierarchical classification with the arrival of new samples
In the era of big data, the amount of class labels is growing rapidly, which poses a great challenge to classification tasks. The hierarchical classification was thus introduced to address this issue by consid...
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Article
On generalization reducts in incomplete multi-scale decision tables
In reality, data is always arranged at multiple granularity levels. Multi-scale information tables were introduced from the viewpoint of granular computing to represent such types of data sets. In the present ...
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Chapter and Conference Paper
Lithology Identification Method Based on CNN-LSTM-Attention: A Case Study of Huizhou Block in South China Sea
Lithology identification of rock is one of the main bases for stratigraphic division in geology and plays a very important role in oil and gas exploration. In recent years, with the increasing amount of data o...
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Article
Zero-Norm ELM with Non-convex Quadratic Loss Function for Sparse and Robust Regression
Extreme learning machine (ELM) is a machine learning technique with simple structure, fast learning speed, and excellent generalization ability, which has received a lot of attention since it was proposed. In ...
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Article
An incremental approach to hierarchical feature selection by applying fuzzy rough set technique
In the age of big data, the number of class labels is increasing rapidly and there exists a hierarchical structure between different class labels. In the present paper, we revisit the existing granular computi...
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Article
Logic could be learned from images
Logic reasoning is a significant ability of human intelligence and also an important task in artificial intelligence. The existing logic reasoning methods, quite often, need to design some reasoning patterns b...
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Article
On selection of optimal cuts in complete multi-scale decision tables
In this paper, a novel optimal scale selection method in complete multi-scale decision tables has been proposed. Unlike the existing approaches in the literature, we employ the tools of granularity trees and c...
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Article
A theoretical study on object-oriented and property-oriented multi-scale formal concept analysis
In traditional formal concept analysis, the attributes in the formal context are considered fixed. However, in the real world data set, attributes always have different levels of granularity, correspondingly, ...
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Article
L-fuzzy concept analysis for three-way decisions: basic definitions and fuzzy inference mechanisms
In this paper, the basic ideas underlying fuzzy logic are introduced into the study of three-way formal concept analysis. This leads naturally to the notion of L-fuzzy three-way concepts. The L-fuzzy three-way op...
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Article
On the structure of metric spaces related to pre-rough logic
The consideration of approximate reasoning merging rough approximation and formal deduction in pre-rough logic leads to three different types of metric spaces, which we call pre-rough logic metric space, pre-r...
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Article
Uncertainty measures in rough algebra with applications to rough logic
The present paper is devoted to the measurement of uncertainty in rough algebra. Specifically, we employ the probability measure on the set of homomorphism of pre-rough algebra into $${\{0,\fra...
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Chapter and Conference Paper
On Determination of Thresholds in Three-Way Approximation of Many-Valued NM-Logic
Approximation of a many-valued logic by a logic with less number of truth values is an important topic. Three-way approximation based on a pair of thresholds is an example considered by Yao. However, the deter...
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Chapter and Conference Paper
Topological Properties of the Pessimistic Multigranulation Rough Set Model
Multigranulation rough set theory is a newly proposed mathematical tool for dealing with inexact, uncertain or vague information. This paper concerns the topological properties of pessimistic multigranulation ...
