aspg-21-1024-1791475357 20261008160237 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2022 18 2 Avishek Chakraborty Department of Basic Science, Academy of Technology, Adisaptagram, Hooghly, 712502, India Baisakhi Banik Department of Mathematics, IIESTS, Howrah, W.B- 71103, India Said Broumi Laboratory of Information Processing, Faculty of Science Ben MSik, University Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco Soheil Salahshour Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey This article exceedingly induces a completely new impression of graded mean integral representation in trapezoidal neutrosophic number domain corresponding to each membership function. Furthermore employing these integral representations, a new fangled graded mean integral distance measure is produced between two trapezoidal neutrosophic numbers. Notably, a numerical business economy based Multi Criteria Decision Making (MCDM) problem is fabricated along with the explication of neutrosophic theory to authenticate our suggested course of action in the decision making policy with the prominent solution scheme of VlseKriterijumska Optimizcija I Kaompromisno Resenje (VIKOR) technique for recognising the best alternative from a finite set. Lastly, the comparison work acts as an additional encouragement of our proposed scheme. 2022 210 226 1024 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.180205 https://www.americaspg.com/journal/21/article/1024 https://www.americaspg.com/storage/6510.pdf