A Note on Computing the Crisp Order Context of a Fuzzy Formal Context for Knowledge Reduction

Prem Kumar Singh and Ch. Aswani Kumar
Volume: 11, No: 2, Page: 184 ~ 204, Year: 2015
10.3745/JIPS.04.0009
Keywords: Crisp Context, Concept Lattice, Formal Concept Analysis, Fuzzy Formal Concept, Fuzzy Relation, Knowledge Reduction
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Abstract
Fuzzy Formal Concept Analysis (FCA) is a mathematical tool for the effective representation of imprecise and vague knowledge. However, with a large number of formal concepts from a fuzzy context, the task of knowledge representation becomes complex. Hence, knowledge reduction is an important issue in FCA with a fuzzy setting. The purpose of this current study is to address this issue by proposing a method that computes the corresponding crisp order for the fuzzy relation in a given fuzzy formal context. The obtained formal context using the proposed method provides a fewer number of concepts when compared to original fuzzy context. The resultant lattice structure is a reduced form of its corresponding fuzzy concept lattice and preserves the specialized and generalized concepts, as well as stability. This study also shows a step-by-step demonstration of the proposed method and its application.

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Cite this article
IEEE Style
Prem Kumar Singh and Ch. Aswani Kumar, "A Note on Computing the Crisp Order Context of a Fuzzy Formal Context for Knowledge Reduction," Journal of Information Processing Systems, vol. 11, no. 2, pp. 184~204, 2015. DOI: 10.3745/JIPS.04.0009.

ACM Style
Prem Kumar Singh and Ch. Aswani Kumar, "A Note on Computing the Crisp Order Context of a Fuzzy Formal Context for Knowledge Reduction," Journal of Information Processing Systems, 11, 2, (2015), 184~204. DOI: 10.3745/JIPS.04.0009.