£ukasiewicz Intuitionistic Fuzzy Filters in Hoops and its Application in Medical Diagnosis

N. Abirami¹, M. Mary Jansirani^2,*

¹Research 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

²School 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

Emails: abirami.n.2001@gmail.com; anthuvanjansi@gmail.com

Abstract

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.

Keywords: £ukasiewicz įntuitionistic ꞙuzzy set; £ukasiewicz įntuitionistic ꞙuzzy ꞙilter; Conjunction and disjunction of £ukasiewicz įntuitionistic ꞙuzzy sets; Intuitionistic ꞙuzzy ꞙilters, hoops