Simplified Neutrosophic Multiplicative Refined Sets and Their Correlation Coefficients with Application in Medical Pattern Recognition

Abstract

 In this paper, the notion of simplified neutrosophic multiplicative refined set (aka, simplified neutrosophic multiplicative multi-set) is introduced and some basic operational relations are investigated. The correlation coefficient is one of the most frequently used tools to provide the strength of relationship between two fuzzy/neutrosophic (refined) sets. Two different methods are proposed to calculate the correlation coefficients between two simplified neutrosophic multiplicative refined sets. Further, the effectiveness of these methods is demonstrated by dealing with the medical pattern recognition problem under the simplified neutrosophic multiplicative refined set environment.