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

Paper:

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
Published:
November 20, 2006
Keywords:
rough set, conditional probability relation, active relation, passive relation
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.

Cite this article as:
Masashi Emoto, Rolly Intan, and Masao 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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Last updated on Jun. 24, 2021