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

• Published in: Neutrosophic Sets and Systems
• Main Author: Yasin R.M.; Salim N.I.W.; Fuad N.F.N.A.; Zahali N.M.; Alias S.; Mustapha N.
• Format: Article
• Language: English
• Published: University of New Mexico 2025
• Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85212491153&doi=10.5281%2fzenodo.13968058&partnerID=40&md5=1b0ef991bb35659f5101e7a7428821d2

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. © 2025, University of New Mexico. All rights reserved.