International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3311 2020 2020 PG and Research Department of Mathematics, Muthurangam Government Arts College (Autonomus), Vellore - 632 002, India Prakasam Prakasam PG and Research Department of Mathematics, Arignar Anna Government Arts College for Women, Walajapet, Ranipet - 632 513, India Krishnamoorthy Kavitha In this paper, the notion of hesitant fuzzy norm based on the Bag-Samanta’s Type Fuzzy Norm on linear space has been introduced. Further the concepts of ascending family of semi-norms, convergence and fuzzy continuous linear operators are studied in hesitant fuzzy normed linear space. 2025 2025 373 384 10.54216/IJNS.250333 https://www.americaspg.com/articleinfo/21/show/3311