Fuzzy Bi-Level Multi-Objective Fractional Integer Programming

Authors

E. A. Youness, Department of Mathematics, Faculty of Science, Tanta University, Egypt
O. E. Emam
M. S. Hafez

Author Country (or Countries)

Egypt

Abstract

We present an algorithm to solve a bi-level multi-objective fractional integer programming problem involving fuzzy numbers in the right-hand side of the constraints. The suggested algorithm combine the method of Taylor series together with the Kuhn Tucker conditions to solve fuzzy bi-level multi-objective fractional integer programming problem (FBLMOFIPP) then Gomory cuts are added till the integer solution is obtained. An illustrative example is discussed to demonstrate the correctness of the proposed solution method.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080622

Recommended Citation

A. Youness, E.; E. Emam, O.; and S. Hafez, M. (2014) "Fuzzy Bi-Level Multi-Objective Fractional Integer Programming," Applied Mathematics & Information Sciences: Vol. 08: Iss. 6, Article 22.
DOI: http://dx.doi.org/10.12785/amis/080622
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss6/22