Rough Convexity of A Set and A Function

Document Type : Research and Reference

Authors

1 Faculty of science ,Tanta University ,Tanta ,Egypt

2 Faculty of information Technology and systems ,The University of Jordan ,Aqaba,Jordan

Abstract

In this paper a new concept of convexity approximation for non convex set and nonconvex
function with respect to family of convex sets and to family of convex function respectively is presented.
This approximation of convexity is called rough convexity. Some properties of these kind of sets and
functions are discussed.

Keywords