Abstract

AbstractSolid transportation problem mainly deals with the situation of optimizing different objective functions related to many industrial problems considering constraints sets and due to the constraints uncertainty is always present in different parameters of solid transportation problems. This chapter intends to present a comprehensive study on the development of a mathematical model for solid transportation problems considering uncertain parameters and the neutrosophic fuzzy numbers are used to define those uncertain parameters. For the developed model, a solution approach is hereby discussed in this chapter. The feasibility conditions are validated with the case of numerical implementation of the model and its solution technique. A conversion process that converts a neutrosophic fuzzy number to an equivalent crisp number is discussed in this chapter, and using this method, only an equivalent form of the fuzzy model is obtained, which is later on solved with the LINGO software. A discussion is made based on the obtained result to validate the proposed methodology and the models of solid transportation problems.KeywordsSolid transportation problemNeutrosophic fuzzy numberNeutrosophic ranking approachLINGO

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