Interactive Approach for Solving Multi-level Multi- objective Quadratic Fractional Programming Problems with Fuzzy Parameters in the Constraints

Authors

F. A. Farahat, Higher Technological Institute,Tenth of Ramadan City, Cairo 44637, EgyptFollow
M. A. El Sayed, Basic Sciences Department, Faculty of Engineering, Badr University in Cairo BUC, Cairo 11829, Egypt\\ Department of Basic Engineering Sciences, Faculty of Engineering, Benha University, ElQalyoubia 13511, EgyptFollow
M. A. Elsisy, Department of Basic Engineering Sciences, Faculty of Engineering, Benha University, ElQalyoubia 13511, Egypt\\ Department of Basic Engineering Sciences, Menoufia Higher institute of Engineering and Technology, El-Bagour, Menoufia 32821, EgyptFollow

Abstract

This paper presents an interactive approach for solving multi-level multi-objective quadratic fractional programming problems with fuzzy parameters in the constraints. Firstly, the concept of α-cut is applied to transform the fuzzy mathematical problem into a common deterministic one. Then, the quadratic fractional objective functions in each level are transformed into non-linear objective functions based on a proposed transformation. Secondly, the interactive approach was extended to solve such problem. Finally, an illustrative numerical example is introduced to demonstrate the applicability and performance of the proposed approach.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110120

Recommended Citation

A. Farahat, F.; A. El Sayed, M.; and A. Elsisy, M. (2022) "Interactive Approach for Solving Multi-level Multi- objective Quadratic Fractional Programming Problems with Fuzzy Parameters in the Constraints," Journal of Statistics Applications & Probability: Vol. 11: Iss. 1, Article 20.
DOI: http://dx.doi.org/10.18576/jsap/110120
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss1/20