A generalized hybrid distance measure for SVNS with an application in medical diagnosis

Abstract

A generalized hybrid distance measure of a single value neutrosophic set (SVNS) is 
proposed to analyze the patient’s factors and diseases. Since Neutrosophic Set (NS) may 
communicate contradictory and ambiguous information, it is a crucial and useful tool for modelling 
uncertainty information. A distance measure for NS information is a key tool that is always 
employed in many approaches including medical diagnostics. Several distance measures in NS can 
be found in the literature, however, only a few of them proposed hybrid techniques. This paper 
aims to develop a new distance measure by considering exponential function and to define new 
hybrid distance measures for NS. The work also includes the formulation of the properties and 
application in the medical diagnosis for the validity phase. This study examines the possibility of 
cardiac problems in pregnant women. The eight factors considered in this study are age, obesity, 
smoking, family pathological history, personal pathological history, electrocardiogram, ultrasound, 
and functional class. The generalized hybrid distance measure has been used to discuss the factors 
of six different diseases, present consistent results. 

DOI: 10.5281/zenodo.13988437