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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: © 2011 |Pages: 12
ISBN13: 9781609605537|ISBN10: 1609605535|EISBN13: 9781609605544
DOI: 10.4018/978-1-60960-553-7.ch015
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MLA

Zhao, Liquan, and Ling Zhang. "Advances in the Quotient Space Theory and its Applications." Transdisciplinary Advancements in Cognitive Mechanisms and Human Information Processing, edited by Yingxu Wang, IGI Global, 2011, pp. 250-261. https://doi.org/10.4018/978-1-60960-553-7.ch015

APA

Zhao, L. & Zhang, L. (2011). Advances in the Quotient Space Theory and its Applications. In Y. Wang (Ed.), Transdisciplinary Advancements in Cognitive Mechanisms and Human Information Processing (pp. 250-261). IGI Global. https://doi.org/10.4018/978-1-60960-553-7.ch015

Chicago

Zhao, Liquan, and Ling Zhang. "Advances in the Quotient Space Theory and its Applications." In Transdisciplinary Advancements in Cognitive Mechanisms and Human Information Processing, edited by Yingxu Wang, 250-261. Hershey, PA: IGI Global, 2011. https://doi.org/10.4018/978-1-60960-553-7.ch015

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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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