Abstract

Multiview intelligent data analysis explores data from different perspectives to reveal various types of structures and knowledge embedded in the data. Each view may capture a specific aspect of the data and hence satisfy the needs of a particular group of users. Collectively, multiple views provide a comprehensive description and understanding of the data. In this paper, we propose a multiview framework of intelligent data analysis based on modal-style data operators. The classes of the data operators include basic set assignment, sufficiency, dual sufficiency, necessity and possibility operators. They demonstrate various types of data relationships and characterize various features and granulated views of the data. It is shown that different structures of the data can also be constructed based on the different data operators.

Keywords: Multiview; Intelligent data analysis; Modal-style data operators; Concept lattice; Granular computing

Article Outline

1. Introduction

2. Motivations and related works

2.1. The needs for multiple views of the same data

2.2. Related works

3. Formal contexts and modal-style data operators

3.1. Formal contexts

3.2. Modal-style data operators

3.2.1. Basic set assignments

3.2.2. Sufficiency operators

3.2.3. Dual sufficiency operators

3.2.4. Necessity operators

3.2.5. Possibility operators

3.3. Connections between data operators

4. Granular structures of the universe

4.1. Granulation and granular structures

4.2. Granular structures induced by modal-style operators

4.2.1. Equivalence relation

4.2.2. Similarity relation

4.2.3. Negative similarity relation

4.2.4. Partial order relation

4.3. Connections between granular structures

5. Hierarchical structures embedded in data

5.1. Class-oriented formal concept lattice

5.2. Formal concept lattice

5.3. Dual formal concept lattice

5.4. Property-oriented concept lattice

5.5. Object-oriented concept lattice

5.6. Connections between different lattices

6. Conclusion

Acknowledgements

Appendix. Appendix

Equivalence relation

Partial order relation

Similarity relation

Negative similarity relation

References