JACIII Vol.10 No.6 pp. 939-945
doi: 10.20965/jaciii.2006.p0939


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

December 11, 2005
January 18, 2006
November 20, 2006
rough set, conditional probability relation, active relation, passive relation
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.
Cite this article as:
M. Emoto, R. Intan, and M. Mukaidono, “Toward a Generalization of Rough Sets Based on Active and Passive Relations,” J. Adv. Comput. Intell. Intell. Inform., Vol.10 No.6, pp. 939-945, 2006.
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