On the Solution of a Rough Interval Bi-Level Multi-Objective Quadratic Programming Problem

Research Area: Volume 3,Issue 6, Nov. 2014 Year: 2014
Type of Publication: Article Keywords: Quadratic Programming, Rough Intervals Programming, Bi-Level Programming
Authors:
  • Omar M. Saad
  • O. E. Emam
  • Marwa M. Sleem
Journal: IJEIR Volume: 3
Number: 6 Pages: 803-809
Month: November
Abstract:
In this paper, a bi-level multi-objective quadratic programming (BLMOQP) problem is considered where some or all of its coefficients in the objective functions are rough intervals. At the first phase of the solution approach and to avoid the complexity of the problem, two BLMOQP problems with interval coefficients will be formulated. One of these problems is a BLMOQP where all of its coefficients are upper approximation of rough intervals and the other problem is a BLMOQP where all of its coefficients are lower approximations of rough intervals. At the second phase, a membership function is constructed to develop a fuzzy model for obtaining the non-inferior solution of the bi-level multi-objective quadratic programming problem. Finally, an illustrative numerical example is given to demonstrate the obtained results.

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