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Article Dans Une Revue International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems Année : 2016

Some relationships between fuzzy sets, mathematical morphology, rough sets, F-transforms, and formal concept analysis

Résumé

In this paper we extend some previously established links between the derivation operators used in formal concept analysis and some mathematical morphology operators to fuzzy concept analysis. We also propose to use mathematical morphology to navigate in a fuzzy concept lattice and perform operations on it. Links with other lattice-based for malisms such as rough sets and F-transforms are also established. This paper proposes a discussion and new results on such links and their potential interest.
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Dates et versions

hal-01461477 , version 1 (08-02-2017)

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Jamal Atif, Isabelle Bloch, Céline Hudelot. Some relationships between fuzzy sets, mathematical morphology, rough sets, F-transforms, and formal concept analysis. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2016, 24 (Suppl. 2), ⟨10.1142/S0218488516400080⟩. ⟨hal-01461477⟩
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