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

Abstract : 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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https://hal.archives-ouvertes.fr/hal-01461477
Contributor : Christine Okret-Manville <>
Submitted on : Wednesday, February 8, 2017 - 11:15:52 AM
Last modification on : Wednesday, February 20, 2019 - 2:41:14 PM

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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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