On Granularity in Information Systems Based on Binary Relation
Weihua Xu, Shihu Liu, Xiaoyan Zhang, Wenxiu Zhang
DOI: 10.4236/iim.2011.33010   PDF    HTML     4,416 Downloads   8,533 Views   Citations


In this paper, some important issues of granularity are discussed mainly in information systems (ISs) based on binary relation. Firstly, the vector representation method of knowledge granules is proposed in an infor-mation system based on binary relation to eliminate limitations of set representation method. Secondly, operators among knowledge granularity are introduced and some important properties of them are studied carefully. Thirdly, distance between two knowledge granules is established and granular space is constructed based on it. Fourthly, axiomatic definition of knowledge granularity is investigated, and one can find that some existed knowledge granularities are special cases under the definition. In addition, as an application of knowledge granular space, an example is employed to validate some results in our work.

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W. Xu, S. Liu, X. Zhang and W. Zhang, "On Granularity in Information Systems Based on Binary Relation," Intelligent Information Management, Vol. 3 No. 3, 2011, pp. 75-86. doi: 10.4236/iim.2011.33010.

Conflicts of Interest

The authors declare no conflicts of interest.


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