Interval Valued Intuitionistic Fuzzy Gaussian Membership Function: A Novel Extension

Abstract

The Interval-valued intuitionistic fuzzy sets (IVIFSs) have long been used to model vagueness and have been used in decision making, pattern recognition, image processing, and other applications. In this study, IVIFSs are defined using Gaussian membership functions (GMFs), and new measures of the distance, the overlap, and the angle between two sets are developed. The proposed methodology is used to determine the similarities between test subjects in genetic brain profiling.

Interval-valued intuitionistic fuzzy rough set system over a novel conflict distance measure with application to decision-making

“…The operators over IVIFS are defined by Atanassov [12] , Burillo and Bustince [13] , and Xu [14] , [15] . In recent years, The practical application of IVIFS has been shown in the fields of decision-making [5] , [16] , [17] and pattern recognition [18] , [19] , [20] , etc. Mondal and Samanta [21] studied the topology of the IVIFS.…”