Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
Abstract
Lipschitzian aggregation operators with respect to the natural T - indistin-
guishability operator Et and their powers, and with respect to the residuation ! T
with respect to a t-norm T and its powers are studied. A t-norm T is proved to be E
T -Lipschitzian and -Lipschitzian, and is
interpreted as a fuzzy point and a fuzzy map as well. Given an Archimedean t-norm
T with additive generator t , the quasi-
arithmetic mean generated by t
is proved to be the most stable aggregation
operator with respect to TPeer Reviewe
