T-overlap T-migrative Functions: a generalization of migrativity in t-overlap functions

Abstract

This paper introduces a generalization of migrative functions by extending the conditions of the product operation applied in the variables. More specifically, instead of requiring to multiply the variable x by a real number x3B1; in this work we operate this x3B1; number with the variables according to a t-norm. We call such generalization as a t-migrative function with respect to such t-norm. Then we analyze the main properties of t-migrative t-overlap functions and introduce some construction methods.