A Decomposition Approach based on Taylor Series for Solving Bi-Level Large Scale Quadratic Problems with Fuzzy Numbers

Authors

Ibrahim A. Baky, Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Kingdom of Saudi Arabia\\ Department of Basic Engineering Sciences, Faculty of Engineering, Benha University, EL-Qalyoubia, Egypt
O. E. Emam
H. A. Suleiman

Author Country (or Countries)

Egypt

Abstract

This paper presented a decomposition approach and TOPSIS approach to solve a bi-level large-scale quadratic programming problem (BLLSQPP) with fuzzy parameters in the objective function based on Taylor series and compare between a decomposition algorithm and TOPSIS approach. The basic idea of the proposed approach is to convert the fuzzy number nature of this problem into equivalent deterministic nature. Then the Taylor series will be combined with decomposition algorithm to obtain the satisfactory solution for problem under investigation. To demonstrate the power of the proposed approach, a numerical example is solved and compared with the solutions of the Technique for Order Preference by Similarity Ideal Solution (TOPSIS) approach.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/100119

Recommended Citation

A. Baky, Ibrahim; E. Emam, O.; and A. Suleiman, H. (2021) "A Decomposition Approach based on Taylor Series for Solving Bi-Level Large Scale Quadratic Problems with Fuzzy Numbers," Journal of Statistics Applications & Probability: Vol. 10: Iss. 1, Article 19.
DOI: http://dx.doi.org/10.18576/jsap/100119
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol10/iss1/19