aspg-21-1258-1791475992 20261008161312 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2022 19 1 Surya M. Research Department of Mathethematics, Muthurangam Govt. Arts College (A), Vellore. TN, India P. Muralikrishna Research Department of Mathethematics, Muthurangam Govt. Arts College (A), Vellore. TN, India The concept of fuzzy set has been generalized to many kinds and one among them is neutrosophic set which is a developed from intuitionistic fuzzy set by adding a components called indeterminate function between truth and falsity membership function. This neutrosophic set also moved a step forward and shows a variation in indeterminate function alone as an interval valued indeterminate function and other functions remains same and this is named as MBJ - neutrosophic set. Here, this work on the MBJ - neutrosophic set merged with incline algbera and introduces the idea of MBJ - neutrosophic filter of an incline algebraic structure and is engrossing with several results. Also, the level, cartesian product, projection, characteristic function and chain conditions are also disputed. 2022 60 67 1258 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.190104 https://www.americaspg.com/journal/21/article/1258 https://www.americaspg.com/storage/9615.pdf