aspg-21-1026-1791472409 20261008151329 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2022 18 2 Somen Debnath Department of Mathematics, Umakanta Academy, Agartala-799001, Tripura, India This paper is devoted to introduce a novel concept known as restricted neutrosophic set (RNS) as another subclass of neutrosophic set (NS). The purpose of introducing the notion of RNS is to give a new mathematical theory that is more promising and purposeful than the existing fuzzy-centric theories to solve the uncertainty based real-world problems in a lucid manner. From decision-makers point of view, the new mathematical tool can be viewed as a direct extension of Pythagorean neutrosophic set (PNS). The PNS has its own inherent limitation for which the decision-makers can’t answer a certain type of problem. For example, in a certain problem, if we consider the degree of truth-membership DrawAspect="Content" ObjectID="_1709849780"> =0.8, degree of indeterminate-membership DrawAspect="Content" ObjectID="_1709849781"> , and the degree of falsity-membership DrawAspect="Content" ObjectID="_1709849782"> =0.8, then it gives an absurd result under PNS. To remove such kind of absurdity, there is a demand to introduce another superior set-theoretical concept that provides more information for the decision-makers. This gives rise to the introduction of RNS. In RNS, we choose any value belongs to DrawAspect="Content" ObjectID="_1709849784"> for the three membership degrees so that their product always limited to 1. So, the beauty of RNS is that it can accommodate more information within small range with relaxed membership values i.e under RNS we can consider the maximum membership triplet as DrawAspect="Content" ObjectID="_1709849785"> . Undoubtedly the RNS gives more compact set-theoretical model to describe imprecise knowledge with ease. Finally, a decision-making approach based algorithm is introduced and applied to solve medical diagnosis problem. 2022 227 242 1026 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.180206 https://www.americaspg.com/journal/21/article/1026 https://www.americaspg.com/storage/8821.pdf