An Approach to The Optimization of Multi-Objective Assignment Problems with Neutrosophic Numbers

This paper aims to study the multi-objective assignment problem with emphasis on imprecise costs rather than price information. The NMOAS problem is considered by adding single-valued trapezoidal neutrosophic numbers to the elements of cost matrices. After converting the NMOAS problem into the corresponding crisp Multi-Objective Assignment (MOAS) problem based on the score function, an approach to finding the most preferred neutrosophic solution was discussed. The approach was used through a weighting Tchebycheff problem which was applied by defining relative weights and ideal targets. This approach was more flexible than the standard multi-objective assignment problem and it allowed the Decision-Maker (DM) to choose the targets. Finally, a numerical example was given to illustrate the utility, effectiveness, and applicability of the approach.