A novel approach for solving neutrosophic fractional transportation problem with non- linear discounting cost

Abstract

Fractional transportation problem that includes source and destination may have fractional objective functions in real- world applications to maximize the profitability ratio like profit/ cost or profit/ time. We refere to such transportation problems as fractional transportation problem.The paper considers the interval- valued neutrosophic numbers and its aritemematic operations. This paper deals with fractional transportation problem having discounting cost in neutrosophic environment, where the supply, demand and transportation costs are uncertain. The problem is considered by introducing all the parameters as neutrosophic numbers. Using the benefits of the score function definition, the problem is transformed into the corresponding deterministic form which can
be illustrated by any method. and hence by applying of least cost method with the help of Kuhn- Tucker' optimality conditions, the optimal solution is resulted. Our strategy is to assess the issue and can rank different sort of neutrosophic numbers. To claify the proposed technique, a numerical example is given to show the adequacy of the new model.