Study of an Abating Aggregation Operator in Many-Valued Logic

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.