Jaydeepkumar M. Sosa
Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, India.

Jayesh M. Dhodiya
Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, India.

DOI https://doi.org/10.33889/IJMEMS.2020.5.6.108

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Abstract

Optimizing problems in the modern era, the single objective optimization problems are insufficient to hold the full data of the problem. Therefore, multi-objective optimization problems come to the rescue. Similarly, in daily life problems, the parameters used in the optimization problem are not always fixed but there may be some uncertainty and it can characterize by fuzzy number. This work underlines the genetic algorithm (GA) based solution of fuzzy transportation problem with more than one objective. With a view to providing the multifaceted choices to decision-maker (DM), the exponential membership function is used with the decision-makers desired number of cases which consisted of shape parameter and aspiration level. Here, we consider the objective functions which are non-commensurable and conflict with each other. To interpret, evaluate and exhibit the usefulness of the proposed method, a numerical example is given.

Keywords- Fuzzy optimization, GA, Exponential membership function, Decision-maker (DM).

Citation

Sosa, J. M., & Dhodiya, J. M. (2020). Genetic Algorithm Based Solution of Fuzzy Multi-Objective Transportation Problem. International Journal of Mathematical, Engineering and Management Sciences, 5(6), 1452-1467. https://doi.org/10.33889/IJMEMS.2020.5.6.108.