Rough Convexity of A Set and A Function
Youness, E., ALsaraireh, A., Alrawashdeh, H. (2017). Rough Convexity of A Set and A Function. EKB Journal Management System, 38(1), 19-26. doi: 10.21608/djs.2017.139419
E. A. Youness; A. A. ALsaraireh; H.S. Alrawashdeh. "Rough Convexity of A Set and A Function". EKB Journal Management System, 38, 1, 2017, 19-26. doi: 10.21608/djs.2017.139419
Youness, E., ALsaraireh, A., Alrawashdeh, H. (2017). 'Rough Convexity of A Set and A Function', EKB Journal Management System, 38(1), pp. 19-26. doi: 10.21608/djs.2017.139419
Youness, E., ALsaraireh, A., Alrawashdeh, H. Rough Convexity of A Set and A Function. EKB Journal Management System, 2017; 38(1): 19-26. doi: 10.21608/djs.2017.139419

Rough Convexity of A Set and A Function

Delta Journal of Science
Article 3, Volume 38, Issue 1, June 2017, Page 19-26  XML PDF (2.18 MB)
Document Type: Research and Reference
DOI: 10.21608/djs.2017.139419
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Authors
E. A. Youness1; A. A. ALsaraireh2; H.S. Alrawashdeh2
1Faculty of science ,Tanta University ,Tanta ,Egypt
2Faculty 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
Rough convexity with respect to family of convex sets; rough supporting hyperplane; rough convex function with respect to family of convex functions
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