Solving Transportation Problem with k-Decagonal Neutrosophic Number Using Monalisha’s Approximation Method

Abstract

This paper presents a new approach for solving transportation problems using Decagonal Neutrosophic Numbers.  In this work, a new approximation method called Monalisha’s Approximation Method (MAM) is proposed to obtain a feasible transportation cost.  The proposed method considers the uncertain and indeterminate nature of transportation costs.  A numerical example is given to illustrate the procedure of the proposed method.  The obtained result is compared with existing transportation methods, and the optimality of the solution is verified using the MODI method.  The results show that proposed Monalisha’s Approximation Method is simple and effective for solving transportation problems under Neutrosophic uncertainty.

Keywords: Transportation Problem, Decagonal Numbers, Neutrosophic Numbers, Monalisha’s Approximation Method for Optimal Solution (MAMOS).