Abstract:

On the basis of two relations between functions  defined as same positive definite relation and same order relation the properties of the two relations were discussed. Besides a sufficient condition was established to assure that a new quasiconvex function was formed by the quasiconvex functions aggregated, and a sufficient condition was proposed to guarantee that quasiconvex functions were aggregated to form a new pseudoconvex function.

Key words: optimization, aggregate function, quasiconvex function, pseudoconvex function