IEEE Transactions on Fuzzy Systems | 2019
Characterization of Quadratic Aggregation Functions
Abstract
In this paper, we show that quadratic aggregation functions on the unit interval-valued lists can be characterized by a set of linear inequalities. We also use these inequalities to find all extreme points of the set of quadratic aggregation functions. Special cases of aggregation functions, such as idempotent, conjunction, and disjunction are also considered.