Abstract
The class of fuzzy multi-objective linear optimization problems with fuzzy coefficients in the objective functions is addressed in this paper. We introduce a parametric approach that helps to compute the membership values of the extreme points in the fuzzy set solution to such problems. We analyze the efficiency of the feasible basic solutions to a parametric multi-objective linear programming problem through the optimality test in a related linear programming problem. The particular case of triangular fuzzy numbers is presented in detail, and the possible degeneracy of the basic feasible solutions is handled. This paper is a continuation of our work on special classes of fuzzy optimization problems. Previously single-objective (linear and linear fractional) optimization problems with fuzzy coefficients in the objective functions were successfully solved.
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Acknowledgements
This research was partially supported by the Ministry of Education and Science, Republic of Serbia, Project numbers TR36006 and TR32013.
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Stanojević, B., Stanojević, M. (2020). On Fuzzy Solutions to a Class of Fuzzy Multi-objective Linear Optimization Problems. In: Mladenović, N., Sifaleras, A., Kuzmanović, M. (eds) Advances in Operational Research in the Balkans. Springer Proceedings in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-21990-1_4
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DOI: https://doi.org/10.1007/978-3-030-21990-1_4
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