Average Distance Measure for TOPSIS-Sine Trigonometric Single-valued Neutrosophic Weighted Aggregation Operator and Its Application in Decision Making

Abstract

The aggressive work involved in proposing new distance measures between two neutrosophic sets has 
been obvious for the past ten years. These continuous efforts are commonly motivated by the need to provide a 
variety of alternatives in the study of decision-making. This study starts by providing complete proof of the 
satisfaction of single-valued neutrosophic set properties for a new distance measure. The novel distance measure 
averages out two different distance measures to reduce the possibility of information loss. Secondary data gathered 
from a questionnaire survey on the medical emergency knowledge of twenty dental students is used here to become 
the numerical example for the application of the new distance measure. The single-valued neutrosophic data are 
then aggregated using a sine trigonometric single-valued neutrosophic aggregator to gain the benefit of preserving 
the periodicity and symmetry in nature about the origin and eventually satisfying the decision-maker preferences
over the multi-time phase parameters. Next, the technique for order of preference by similarity to ideal solution is 
applied to enable the calculation of the new distance measure resulting in the ranking of the student’s knowledge 
level. Comparative analysis is done with two distance measures using the same aggregation operator and the 
weighted arithmetic aggregation operator as well. The result shows that regardless of applying different approaches 
of distance measures, the student who ranks first is the same, concluding in a manner that is consistent with 
previous findings. 

DOI: 10.5281/zenodo.13968058