%0 Journal Article
%T An interactive approach for solving multi-objective nonlinear programming and its application to cooperative continuous static games
%J Journal of Applied Research on Industrial Engineering
%I Ayandegan Institute of Higher Education, Iran
%Z 2538-5100
%A Khalifa, Hamiden Abdelwahed
%D 2018
%\ 12/01/2018
%V 5
%N 4
%P 296-305
%! An interactive approach for solving multi-objective nonlinear programming and its application to cooperative continuous static games
%K Multi-Objective Nonlinear Programming
%K Efficient Solution
%K Reference direction method
%K Attainable reference point
%K Interactive approach
%K Satisfactory Solution
%K Cooperative continuous static games
%K Parametric study
%R 10.22105/jarie.2018.151038.1058
%X In this paper, an interactive approach for solving multi- objective nonlinear programming (MONLP) problem is introduced. This approach is combined with the Reference Direction (RD) introduced by Narula et al. (1993) and the Attainable Reference Point (ARP) method introduced by Wang et al. (2001). In the interactive approach, we still starting with a weak efficient solution as the first step and use the corresponding objective values to improve the weighting coefficients of the augmented Lexicographic Weighted Tchebycheff problem and hence modify the reference point in the case of an unsatisfactory solution for the decision maker (DM) he (she) wishes. Cooperative continuous static game is introduced as an application and its solution is obtained under the proposed interactive approach. Finally, a numerical example is given to the utility of our proposed method.
%U http://www.journal-aprie.com/article_80179_8bdf77727f3846161ea1a23fd2036140.pdf