Interactive Approach for Multi-Level Multi-Objective Fractional Programming Problems with Fuzzy Parameters

Autor: M.S. Osman, O.E. Emam, M.A. Elsayed
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Beni-Suef University Journal of Basic and Applied Sciences, Vol 7, Iss 1, Pp 139-149 (2018)
Druh dokumentu: article
ISSN: 2314-8535
DOI: 10.1016/j.bjbas.2017.08.005
Popis: 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 multi-objective 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.
Databáze: Directory of Open Access Journals