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Advances in the Quotient Space Theory and its Applications

Advances in the Quotient Space Theory and its Applications

Liquan Zhao, Ling Zhang
Copyright: © 2009 |Volume: 3 |Issue: 3 |Pages: 12
ISSN: 1557-3958|EISSN: 1557-3966|ISSN: 1557-3958|EISBN13: 9781616920654|EISSN: 1557-3966|DOI: 10.4018/jcini.2009070104
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MLA

Zhao, Liquan, and Ling Zhang. "Advances in the Quotient Space Theory and its Applications." IJCINI vol.3, no.3 2009: pp.39-50. http://doi.org/10.4018/jcini.2009070104

APA

Zhao, L. & Zhang, L. (2009). Advances in the Quotient Space Theory and its Applications. International Journal of Cognitive Informatics and Natural Intelligence (IJCINI), 3(3), 39-50. http://doi.org/10.4018/jcini.2009070104

Chicago

Zhao, Liquan, and Ling Zhang. "Advances in the Quotient Space Theory and its Applications," International Journal of Cognitive Informatics and Natural Intelligence (IJCINI) 3, no.3: 39-50. http://doi.org/10.4018/jcini.2009070104

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Abstract

Quotient space theory (QST), a new granule computing tool dealing with imprecise, incomplete and uncertain knowledge, uses a triplet, including the universe, its structure and attributes, to describe a problem space or simply a space. As one of important theories of granular computing (GrC), QST is very helpful to the study of cognitive informatics (CI). This article summarizes the quotient space’s model and its main principle. Then some basic operations on quotient space are introduced, and the significant properties of the fuzzy quotient space family are elaborated. Finally the main applications of quotient space theory are discussed.

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