Paper:
Language: English:

Toward a Generalization of Rough Sets Based on Active and Passive Relations

Masashi Emoto^*, Rolly Intan^**, and Masao Mukaidono^*

^*Meiji University, 1-1-1 Higashi-mita, Tama-ku, Kawasaki, Japan
^**Department of Informatics Engineering, Petra Christian University, Jl. Siwalankerto 121-131, Surabaya 60236, Indonesia

Received: December 11, 2005

Accepted: January 18, 2006

Keywords: rough set, conditional probability relation, active relation, passive relation

Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.10, No.6 pp. 939-945, 2006

Abstract

In the generalization of rough sets, many concepts use a relation weaker than the equivalence relation usually used in classical rough sets, e.g., induced by a conditional probability relation. The conditional probability relation is binary and assumes that the relationship between two data (elements or objects) resembles a relationship between two events in conditional probability. We use the asymmetric property of the conditional probability relation to propose active and passive relations, then discuss a generalization and properties of rough sets based on active and passive relations.

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