On a certain class of aggregative operators

Here our starting point is a study of connection with Dombi aggregative operators, uninorms, strict t-norms and t-conorms. We present a new representation theorem of strong negations that explicitly contains the neutral value. Then the relationships for aggregative operators and strong negations are verified as well as those for the t-norm and t-conorm using the Pan operator concept. We introduce the multiplicative pliant concept and give the necessary and sufficient conditions for it. We study a certain class of weighted aggregative operators (representable uninorms) which build a self-DeMorgan class with infinitely many negations. We provide the necessary and sufficient conditions for these operators.