Study of an Abating Aggregation Operator in Many-Valued Logic

Adrien Revault d'Allonnes (1) , Marie-Jeanne Lesot (2)

1 LIASD - Laboratoire d'Informatique Avancée de Saint-Denis
2 LFI - Learning, Fuzzy and Intelligent systems

This paper considers a parametrised aggregation operator, originally introduced in the formal framework of many-valued logic and in the applicative context of information scoring. It studies this operator, outside this applicative context, looking at specific configurations of interest: highlighting the wide range of its instantiations, from the lower to the upper extreme cases; showing some t-norms it can encode, as specific cases; and also how it allows rich and flexible intermediate behaviours.

Domaines: Informatique [cs]; Intelligence artificielle [cs.AI]

Adrien Revault d'Allonnes, Marie-Jeanne Lesot. Study of an Abating Aggregation Operator in Many-Valued Logic. The 2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2019), Jun 2019, New Orleans, United States. ⟨hal-02091356⟩