Abstract
This paper proposes a multi-objective linear fractional transportation problem (MOLFTP) with uncertain programming. The fractional transportation problem considers situations where decision-makers are interested in maximizing or minimizing the ratio of certain functions rather than simple functions. All the parameters involved in the problem raised i.e. it is assumed that the availability and demand of the objective function coefficients are uncertain. In addition, an equivalent certainty problem is also raised. Three different methods are the weighted sum method, fuzzy programming, and global criterion method, which are used to obtain the best compromise for the proposed model. A numerical example is also given to support the theory.
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Saini, R., Joshi, V.D., Singh, J. (2023). Multi-objective Linear Fractional Transportation Problem Under Uncertainty. In: Singh, J., Anastassiou, G.A., Baleanu, D., Kumar, D. (eds) Advances in Mathematical Modelling, Applied Analysis and Computation . ICMMAAC 2022. Lecture Notes in Networks and Systems, vol 666. Springer, Cham. https://doi.org/10.1007/978-3-031-29959-9_30
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