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Advances in the Quotient Space Theory and its Applications

Author

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  • Liquan Zhao

    (Nanjing University of Finance and Economics and Anhui University, China)

  • Ling Zhang

    (Anhui University, China)

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.

Suggested Citation

  • Liquan Zhao & Ling Zhang, 2009. "Advances in the Quotient Space Theory and its Applications," International Journal of Cognitive Informatics and Natural Intelligence (IJCINI), IGI Global, vol. 3(3), pages 39-50, July.
    • Handle: RePEc:igg:jcini0:v:3:y:2009:i:3:p:39-50
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