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Article Dans Une Revue Applied and Computational Mathematics an International Journal Année : 2011

On Possibility Theory, Formal Concept Analysis and Granulation

Résumé

Two important ideas at the core of Zadeh's seminal contributions to fuzzy logic and approximate reasoning are the notions of granulation and of possibilistic uncertainty. In this short paper, elaborating a bit on the basis of some mathematical analogy, recently made by the authors, between possibility theory and formal concept analysis, we suggest another bridge between the notion of extensional fuzzy set with respect to a similarity relation, and formal concept analysis. Thus, we point out some fruitful interactions between the possibilistic representation of information and two views of granulation emphasizing the idea of clusters of points that can be identi¯ed respectively on the basis of their closeness, or of their common labeling in terms of properties.
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hal-03346989 , version 1 (16-09-2021)

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  • HAL Id : hal-03346989 , version 1

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Didier Dubois, Henri Prade. On Possibility Theory, Formal Concept Analysis and Granulation. Applied and Computational Mathematics an International Journal, 2011, Special Issue on Fuzzy Set Theory and Applications, 10 (1), pp.10-19. ⟨hal-03346989⟩
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