A multiview approach for intelligent data analysis based on data operators
Introduction
Huge data sets and various data types lead to new types of problems and require the development of new types of techniques for modern intelligent data analysis [21]. An important objective of intelligent data analysis is to reveal and indicate diverse non-trivial features or views of a large amount of data. Many techniques and models in data mining, machine learning, pattern recognition, statistics, and other fields have been proposed. Each technique or model focuses on one particular view of the data and discovers a specific type of knowledge embedded in data.
In this paper, we propose a multiview approach that provides a unified framework for integrating multiple views of intelligent data analysis. It is easy to know that an integrated and unified framework that allows a multiple view approach on the understanding, computation, and interpretation of data provides not only a platform to explore different aspects of the data, but also a tool to integrate many techniques of intelligent data analysis.
Modal-style data operators can be used to define, represent and analyze various types of data relations and structures [6], [52]. Therefore, these modal-style data operators can provide a unified way to examine, characterize and construct different types of knowledge. In this paper, a multiview approach is introduced based on modal-style data operators in a formal context.
The rest of the paper is organized as follows. In the next section, discussions about motivations and some related works are provided. Section 3 introduces formal contexts and modal-style data operators. In Section 4, we show that these data operators can be used to define different relations and granular structures of a universe. Section 5 examines several types of hierarchical structures defined based on the modal-style data operators. These granular and hierarchical structures are always be viewed as different types of knowledge embedded in the data set [6], [11], [38], [52]. The conclusion of this study is given in Section 6.
Section snippets
Motivations and related works
In this section, we give motivations of the present study and discuss some related works.
Formal contexts and modal-style data operators
In this section, definitions for formal contexts and modal-style data operators are given. Some connections between modal-style data operators are investigated.
Granular structures of the universe
In this section, we investigate various relations between objects and granular structures induced by the relations based on modal-style data operators.
Hierarchical structures embedded in data
In the classical view, a concept is jointly determined by its extension and intention. The extension consists of all objects belonging to the concept. The intension includes all attributes that are used to characterize the objects belonging to the concept. A pair of extension and intention is considered as a representation of a concept. Lattice theory provides a vocabulary for hierarchical structures and can be applied to construct concept lattices [17], [49], [53], [54].
In this section, the
Conclusion
In this paper, we propose an approach to investigate multiple views of intelligent data analysis based on modal-style data operators. We provides a basic framework to explore the significant importance of multiview for the research on intelligent data analysis. The integration of these multiple views may bring more powerful and useful data analysis tools.
By defining various types of data operators, we present various data relationships and construct different types of hierarchical structures,
Acknowledgements
The authors thank anonymous referees of this paper for their constructive comments and partial support for NSERC Canada.
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