Title of article :
Continuity of super- and sub-additive transformations of continuous functions
Author/Authors :
Seliga, A. Faculty of Civil Engineering - Slovak University of Technology, Bratislava, Slovakia , siran, J. Faculty of Civil Engineering - Slovak University of Technology, Bratislava, Slovakia
Abstract :
We prove a continuity inheritance property for super- and sub-additive transformations of non-negative continuous
multivariate functions dened on the domain of all non-negative points and vanishing at the origin. As a corollary
of this result we obtain that super- and sub-additive transformations of continuous aggregation functions are again
continuous aggregation functions.
Keywords :
Super-additive transformation , sub-additive transformation , continuity inheritance , aggregation function
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
