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JACIII Vol.10 No.5 pp. 612-620
doi: 10.20965/jaciii.2006.p0612
(2006)

Paper:

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A Theoretical Formulation of Object-Oriented Rough Set Models

Yasuo Kudo* and Tetsuya Murai**

*Department of Computer Science and Systems Engineering, Muroran Institute of Technology, 27-1 Mizumoto, Muroran 050-8585, Japan

**Graduate School of Information Science and Technology, Hokkaido University, Kita 14, Nishi 9, Kita-Ku, Sapporo 060-0814, Japan

Received:
January 1, 2006
Accepted:
April 10, 2006
Published:
September 20, 2006
Creative Commons License
Keywords:
rough set, object-orientation, has-a relation, is-a relation
Abstract
We introduce object-oriented paradigm into rough set theory. First, we provide concepts of class, object, and name, respectively. Class structures represent abstract data forms, and abstract structural hierarchy based on is-a relationship and has-a relationship. Object structures illustrate many kinds of objects and actual dependence among objects by is-a relationship and has-a relationship. Name structures provide concrete design of objects, and connect class structures and object structures consistently. Next, combining class, name and object structures, we propose object-oriented information systems, which include “traditional” information systems as special cases. Moreover, we introduce indiscernibility relations on the set of objects, lower and upper approximations, and object-oriented rough sets in the object-oriented information systems.
Cite this article as:
Y. Kudo and T. Murai, “A Theoretical Formulation of Object-Oriented Rough Set Models,” J. Adv. Comput. Intell. Intell. Inform., Vol.10 No.5, pp. 612-620, 2006.
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