Adjusting the Core and/or the Support of a Fuzzy Set – A New Approach to Fuzzy Modifiers

Patrick Bosc (1) , Didier Dubois (2) , Allel Hadj Ali (3) , Olivier Pivert (4) , Henri Prade (2)

1 IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires
2 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
3 PILGRIM - Gradedness, Imprecision, and Mediation in Database Management Systems
4 SHAMAN - Symbolic and Human-centric view of dAta MANagement

Fuzzy modifiers are unary operators on fuzzy sets aiming at transforming a fuzzy set into another. In this paper, we propose a new approach to construct representation for fuzzy modifiers. The approach relies on a tolerance relation modeled by a suitable parameterized proximity relation. The newly introduced fuzzy modifiers are not only endowed with clear semantics, but they result in significant changes on the constituent parts of a fuzzy set. We also show how this class of fuzzy modifiers can be applied for modeling weakening and intensifying linguistic hedges.

Domaines: Intelligence artificielle [cs.AI]

Patrick Bosc, Didier Dubois, Allel Hadj Ali, Olivier Pivert, Henri Prade. Adjusting the Core and/or the Support of a Fuzzy Set – A New Approach to Fuzzy Modifiers. IEEE International Conference on Fuzzy Systems ((FUZZ-IEEE 2007), Jul 2007, London, United Kingdom. pp.1667-1672, ⟨10.1109/FUZZY.2007.4295617⟩. ⟨hal-03358863⟩