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


Prem Kumar Singh, Ch. Aswani Kumar, Journal of Information Processing Systems Vol. 11, No. 2, pp. 184-204, Jun. 2015  

https://doi.org/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
[APA Style]
Singh, P. & Kumar, C. (2015). A Note on Computing the Crisp Order Context of a Fuzzy Formal Context for Knowledge Reduction. Journal of Information Processing Systems, 11(2), 184-204. DOI: 10.3745/JIPS.04.0009.

[IEEE Style]
P. K. Singh and C. A. 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. 2015. 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.