Solving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method

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dc.contributor.authorMollalign, Demmelash
dc.contributor.authorMushi, Allen R.
dc.contributor.authorGuta, Berhanu
dc.date.accessioned2024-04-16T05:57:53Z
dc.date.available2024-04-16T05:57:53Z
dc.date.issued2022
dc.descriptionArticle published by Elsevier in the Journal of Computational Science Volume 63, September 2022, 101786
dc.description.abstractThis 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.
dc.description.sponsorshipPrivate
dc.identifier.citationAPA
dc.identifier.urihttps://doi.org/10.1016/j.jocs.2022.101786
dc.identifier.urihttps://scholar.mzumbe.ac.tz/handle/123456789/621
dc.language.isoen
dc.publisherElsevier
dc.subjectMulti-objective programming
dc.subjectMultilevel programming
dc.subjectIntuitionistic fuzzy goal programming
dc.subjectIntuitionistic fuzzy decision set
dc.subjectTwo-phase model
dc.titleSolving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method
dc.typeArticle
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