International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1258 2020 2020 Research Department of Mathethematics, Muthurangam Govt. Arts College (A), Vellore. TN, India Surya. M. Research Department of Mathethematics, Muthurangam Govt. Arts College (A), Vellore. TN, India P. Muralikrishna 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 2022 60 67 10.54216/IJNS.190104 https://www.americaspg.com/articleinfo/21/show/1258