An Interactive Model for Fully Fuzzy Multi-level Linear Programming Problem based on Multi-objective Linear Programming Technique
O. E. Emam, E. Fathy, M. A. Helmy
Journal of Advances in Mathematics and Computer Science · pp. 1–19 · Published 19 Jul 2017
10.9734/JAMCS/2017/34811Abstract
An interactive approach is proposed to find the optimal fuzzy solution of fully fuzzy multi-level linear programming (FFMLLP) problem. Firstly, convert the problem under consideration into non-fuzzy multi-level multi-objective linear programming (MLMOLP) problem by using the bound and decomposition method. Secondly, simplify the MLMOLP problem by transforming it into separate multi-objective decision-making problems with hierarchical structure, and solving it by using ε-constraint method. The main results obtained in this paper will be explained by an illustrative numerical example. Finally, compare the proposed approach for solving FFMLLP with The result found in O. Emam et al. [21] to show its effectiveness.
Cited by 10
Hawaf AbdAlhakim, O. E. Emam, A. A. Abd El-Mageed · Journal of Advances in Mathematics and Computer Science · 2018
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E. Fathy, A.E. Hassanien · Alexandria Engineering Journal · 2022
E. Fathy, E. Ammar, M.A. Helmy · Journal of Intelligent & Fuzzy Systems · 2023
E. Fathy · Journal of Intelligent & Fuzzy Systems · 2019
Showing 5 of 10 known citations — external sources report more than can currently be individually listed.
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