Staff Members - Benha University
Interactive Approach for Multi-Level Multi-Objective Fractional Programming Problems with Fuzzy Parameters
Beni-Suef University Journal of Basic and Applied Sciences • 2017
Publication Information
Authors
M.S. Osman; O.E. Emam; M.A. Elsayed
Keywords
Multi-level programming;
Multi-objective programming;
Fractional programming;
Fuzzy parameters;
Journal
Beni-Suef University Journal of Basic and Applied Sciences
Publisher
elsevier
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
In this paper, an interactive approach for solving multi-level multi-objective fractional programming
(ML-MOFP) problems with fuzzy parameters is presented. The proposed interactive approach makes
an extended work of Shi and Xia (1997). In the first phase, the numerical crisp model of the ML-MOFP
problem has been developed at a confidence level without changing the fuzzy gist of the problem.
Then, the linear model for the ML-MOFP problem is formulated. In the second phase, the interactive
approach simplifies the linear multi-level multi-objective model by converting it into separate multiobjective
programming problems. Also, each separate multi-objective programming problem of the linear
model is solved by the -constraint method and the concept of satisfactoriness. Finally, illustrative examples
and comparisons with the previous approaches are utilized to evince the feasibility of the proposed
approach.
(ML-MOFP) problems with fuzzy parameters is presented. The proposed interactive approach makes
an extended work of Shi and Xia (1997). In the first phase, the numerical crisp model of the ML-MOFP
problem has been developed at a confidence level without changing the fuzzy gist of the problem.
Then, the linear model for the ML-MOFP problem is formulated. In the second phase, the interactive
approach simplifies the linear multi-level multi-objective model by converting it into separate multiobjective
programming problems. Also, each separate multi-objective programming problem of the linear
model is solved by the -constraint method and the concept of satisfactoriness. Finally, illustrative examples
and comparisons with the previous approaches are utilized to evince the feasibility of the proposed
approach.