On Rough Multi-Level Linear Programming Problem

Authors

O. E. Emam, Department of Information Systems, Faculty of Computers and Information, Helwan University, P.O. Box 11795, EgyptFollow
M. El-Araby, Department of Computer Science, Faculty of Computers and Information, Helwan University, P.O. Box 11795, EgyptFollow
M. A. Belal, Department of Computer Science, Faculty of Computers and Information, Helwan University, P.O. Box 11795, EgyptFollow

Abstract

This paper presents a multi-level linear programming problem with random rough coefficients in objective functions. At the first phase of the solution approach and to avoid the complexity of this problem, we begin by converting the rough nature of this problem into equivalent crisp problem. At the second phase, we use the concept of tolerance membership function at each level to solve a Tchebcheff problem till an optimal solution is obtained. Finally, an illustrative example is given to show the application of the proposed model.

Recommended Citation

E. Emam, O.; El-Araby, M.; and A. Belal, M. (2015) "On Rough Multi-Level Linear Programming Problem," Information Sciences Letters: Vol. 4 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol4/iss1/5