International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3710 2020 2020 Research scholar, School of Sciences, Division of Mathematics, SRM- Institute of Science and Technology, Tiruchirappalli campus, SRM Nagar, Trichy-Chennai highway, near Samayapuram, Tiruchirappalli-621105, Tamil Nadu, India M. M. School of Sciences, Division of Mathematics, SRM- Institute of Science and Technology, Tiruchirappalli campus, SRM Nagar, Trichy-Chennai highway, near Samayapuram, Tiruchirappalli-621105, Tamil Nadu, India M. Mary Jansirani The new theory of £ukasiewicz įntuitionistic ꞙuzzy set and £ukasiewicz įntuitionistic ꞙuzzy ꞙilter is introduced. Some properties of £ukasiewicz įntuitionistic ꞙuzzy ꞙilter is presented. It is explored that under what circumstances, the £ukasiewicz įntuitionistic ꞙuzzy set can be a £ukasiewicz įntuitionistic ꞙuzzy ꞙilter. An algorithm for diagnosing disease is developed and provided with demonstration. 2025 2025 229 240 10.54216/IJNS.260217 https://www.americaspg.com/articleinfo/21/show/3710