Author(s)

Mohamed Abd El-Hady Kassem¹, Ahmad M. K. Tarabia², Noha Mohamed El-Badry^2*

¹Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt.
²Mathematics Department, Faculty of Science, Damietta University, Damietta, Egypt.

This paper presents a modified method to solve multi-objective nonlinear programming problems with fuzzy parameters in its objective functions and these fuzzy parameters are characterized by fuzzy numbers. The modified method is based on normalized trade-off weights. The obtained stability set corresponding to α-Pareto optimal solution, using our method, is investigated. Moreover, an algorithm for obtaining any subset of the parametric space which has the same corresponding α-Pareto optimal solution is presented. Finally, a numerical example to illustrate our method is also given.

Multi-Objective Nonlinear Programming, Stability, Trade-Off Method, Fuzzy Parameters

Kassem, M. , Tarabia, A. and El-Badry, N. (2016) A Modified Interactive Stability Algorithm for Solving Multi-Objective NLP Problems with Fuzzy Parameters in Its Objective Functions. American Journal of Operations Research, 6, 8-16. doi: 10.4236/ajor.2016.61002.