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Foundations of Rough Sets from Vagueness Perspective

Foundations of Rough Sets from Vagueness Perspective

Piotr Wasilewski, Dominik Slezak
Copyright: © 2008 |Pages: 37
ISBN13: 9781599045528|ISBN10: 1599045524|ISBN13 Softcover: 9781616927448|EISBN13: 9781599045542
DOI: 10.4018/978-1-59904-552-8.ch001
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MLA

Wasilewski, Piotr, and Dominik Slezak. "Foundations of Rough Sets from Vagueness Perspective." Rough Computing: Theories, Technologies and Applications, edited by Aboul Ella Hassanien, et al., IGI Global, 2008, pp. 1-37. https://doi.org/10.4018/978-1-59904-552-8.ch001

APA

Wasilewski, P. & Slezak, D. (2008). Foundations of Rough Sets from Vagueness Perspective. In A. Hassanien, Z. Suraj, D. Slezak, & P. Lingras (Eds.), Rough Computing: Theories, Technologies and Applications (pp. 1-37). IGI Global. https://doi.org/10.4018/978-1-59904-552-8.ch001

Chicago

Wasilewski, Piotr, and Dominik Slezak. "Foundations of Rough Sets from Vagueness Perspective." In Rough Computing: Theories, Technologies and Applications, edited by Aboul Ella Hassanien, et al., 1-37. Hershey, PA: IGI Global, 2008. https://doi.org/10.4018/978-1-59904-552-8.ch001

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Abstract

We present three types of knowledge, which can be specified according to the Rough Set theory. Then, we present three corresponding types of algebraic structures appearing in the Rough Set theory. This leads to three following types of vagueness: crispness, classical vagueness, and a new concept of “intermediate” vagueness. We also propose two classifications of information systems and approximation spaces. Based on them, we differentiate between information and knowledge.

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