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.