• Ritu Gupta
• Manoj Kumar Rana

The aim of this paper is to present an interactive fuzzy programming method for solving integer bilevel programming problems (IBLPP) involving nonlinear conflicting goals with quadratic constraints. The problem is solved in two phases. Feasible region of the integer decision variables is obtained first. In phase I, fuzzy programming model of the problem is formulated using the concept of membership function. Finally the concept of ratio of satisfactory degree defined by Lai[7] is applied to generate a satisfactory solution. Illustrative numerical example is provided to demonstrate the feasibility of the approach.

Bilevel Programming, Fuzzy Programming, Membership Function, Integer Programming

" An Interactive Approach For Integer Bilevel Programming Problem with Quadratic Constraints", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.2, Issue 2, page no.110-122, February 2015, Available :http://www.jetir.org/papers/JETIR2009013.pdf

" An Interactive Approach For Integer Bilevel Programming Problem with Quadratic Constraints", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.2, Issue 2, page no. pp110-122, February 2015, Available at : http://www.jetir.org/papers/JETIR2009013.pdf