Solving Multi-Objective Multilevel Programming problems using two-phase Intuitionistic Fuzzy Goal Programming method

This paper presents a two-phase intuitionistic fuzzy goal programming (two-phase IFGP) algorithm to solve Multi-Objective Multilevel Programming (MO-MLP) problems. The coefficient of each objective and constraint function is assumed to be triangular intuitionistic fuzzy parameters and the crisp MO-M...

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Veröffentlicht in:Journal of computational science Jg. 63; S. 101786
Hauptverfasser: Mollalign, Demmelash, Mushi, Allen, Guta, Berhanu
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.09.2022
Schlagworte:
Intuitionistic fuzzy decision set
Intuitionistic fuzzy goal programming
Multi-objective programming
Multilevel programming
Two-phase model
Multilevel programming
Intuitionistic fuzzy goal programming
Multi-objective programming
Two-phase model
Intuitionistic fuzzy decision set
ISSN:1877-7503, 1877-7511
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Zusammenfassung:This paper presents a two-phase intuitionistic fuzzy goal programming (two-phase IFGP) algorithm to solve Multi-Objective Multilevel Programming (MO-MLP) problems. The coefficient of each objective and constraint function is assumed to be triangular intuitionistic fuzzy parameters and the crisp MO-MLP problems are obtained using the accuracy function method. To avoid decision lock, the top levels set tolerance limits for decision variables to control the lower levels. The problem is modeled in the intuitionistic fuzzy environment using membership and non-membership functions for each objective function at all levels and decision variables controlled by the top levels. Then, we proposed an IFGP algorithm to achieve the highest degree of each membership and non-membership goal by minimizing unwanted deviational variables and generating compensatory solutions for all decision-makers at all levels. Moreover, in the proposed approach, two-phase IFGP is modeled to yield a compromise solution that satisfies both the MN-Pareto optimal solution and the Pareto optimal solution at each level. Also, verification of the proposed method is discussed with numerical examples. •Formulation of intuitionistic fuzzy multi-objective multilevel programming problem.•Accuracy function ranking method.•Intuitionistic fuzzy goal programming method.•MN-Pareto and Pareto optimal solution.•Multi-objective with multilevel programming problem.
ISSN:1877-7503
1877-7511
DOI:10.1016/j.jocs.2022.101786