Some Remarks on the Concept of Approximations from the View of Knowledge Engineering

Tsau Young Lin, Rushin Barot and Shusaku Tsumoto
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Tsau Young Lin: San Jose State University, USA
Rushin Barot: San Jose State University, USA
Shusaku Tsumoto: Shimane Medical University, Japan

International Journal of Cognitive Informatics and Natural Intelligence (IJCINI), 2010, vol. 4, issue 2, 1-11

Abstract: The concepts of approximations in granular computing (GrC) vs. rough set theory (RS) are examined. Examples are constructed to contrast their differences in the Global GrC Model (2nd GrC Model), which, in pre-GrC term, is called partial coverings. Mathematically speaking, RS-approximations are “sub-base” based, while GrC-approximations are “base” based, where “sub-base” and “base” are two concepts in topological spaces. From the view of knowledge engineering, its meaning in RS-approximations is rather obscure, while in GrC, it is the concept of knowledge approximations.

Date: 2010
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