International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1024 2020 2020 Department of Basic Science, Academy of Technology, Adisaptagram, Hooghly, 712502, India Avishek Chakraborty Department of Mathematics, IIESTS, Howrah, W.B- 71103, India Baisakhi Banik Laboratory of Information Processing, Faculty of Science Ben MSik, University Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco Said Broumi Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey Soheil Salahshour 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 2022 210 226 10.54216/IJNS.180205 https://www.americaspg.com/articleinfo/21/show/1024