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Learning rule sets and Sugeno integrals for monotonic classification problems

Quentin Brabant 1 Miguel Couceiro 1 Didier Dubois 2 Henri Prade 2 Agnès Rico 3
1 ORPAILLEUR - Knowledge representation, reasonning
Inria Nancy - Grand Est, LORIA - NLPKD - Department of Natural Language Processing & Knowledge Discovery
2 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
IRIT - Institut de recherche en informatique de Toulouse
Abstract : In some variants of the supervised classification setting, the domains of the attributes and the set of classes are totally ordered sets. The task of learning a classifier that is nondecreasing w.r.t. each attribute is called monotonic classification. Several kinds of models can be used in this task; in this paper , we focus on decision rules. We propose a method for learning a set of decision rules that optimally fits the training data while favoring short rules over long ones. We give new results on the representation of sets of if-then rules by extensions of Sugeno integrals to distinct attribute domains, where local utility functions are used to map attribute domains to a common totally ordered scale. We study whether such qualitative extensions of Sugeno integral provide compact representations of large sets of decision rules.
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Submitted on : Friday, January 3, 2020 - 5:56:25 PM
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Quentin Brabant, Miguel Couceiro, Didier Dubois, Henri Prade, Agnès Rico. Learning rule sets and Sugeno integrals for monotonic classification problems. Fuzzy Sets and Systems, Elsevier, In press, ⟨10.1016/j.fss.2020.01.006⟩. ⟨hal-02427608⟩



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