A novel distance measure on interval valued intuitionistic fuzzy numbers based on improved accuracy function and its application

P. Vishnukumar; Edwin Antony Raj; Geetha Sivaraman

P. Vishnukumar Department of Mathematics, St. Joseph's College (Autonomous), Tiruchirappalli, Tamilnadu, India.
Edwin Antony Raj Department of Mathematics, K. Ramakrishnan College of Engineering, Tiruchirappalli, Tamilnadu, India
Geetha Sivaraman Department of Mathematics, St. Joseph's College (Autonomous), Tiruchirappalli, Tamilnadu, India

Abstract

This research paper introduces a novel distance measure on the class of interval-valued intuitionistic fuzzy numbers (IVIFNs) based on the improved accuracy function defined on the class of IVIFNs. Primarily, it defines a novel distance measure of information transferred by IVIFNs and proves some properties. Then it uses some illustrative examples to show how the proposed distance measure plays a better part than the existing measures. In the end, it applies the novel distance measure in the Multi-criteria decision making (MCDM) problem.