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In this paper we have first introduced the concept of neutrosophic multi-criteria assignment problem(NMCAP) with multiple decision makers.
Moreover in such MCAP if atleast one criterion be neutrosophic in nature then the problems will be called Neutrosophic Multi-Criteria Assignment Problem(NMCAP).
Let us consider a NMCAP represented by the following cost matrices and time matrix in which the criteria are neutrosophic in nature and the elements of the matrices are representing the degree of cost and time required by a machine to perform the corresponding job according to two decision makers Mr.