Abstract
In this study, the truth membership function (WT ), indeterminacy membership function (WI ), falsity membership function (WF ) are incorporated with the structure of AMR-algebra. The notion of neutrosophic AMR-algebra is proposed and some significant results were furnished. Further, some compelling properties based on αcut(level set) are also studied. Interestingly, an algorithm has been developed to validate the conditions of neutrosophic AMR-algebra using the values in the range of [0, 1].