MADM Model Using Einstein Aggregation Operators of Sine Single-Valued Neutrosophic Values and Its Application

Abstract

In various fuzzy multiple attribute decision making (MADM) applications, different 
information descriptions and aggregation operators (AOs) play a crucial role. However, both the 
Einstein sum and product can include their typical algebraic operation features, but they lack the 
characteristics of periodicity operations. To fill the research gap of Einstein AOs for single-valued 
neutrosophic values (SvNVs), this article aims to propose Einstein AOs of sine SvNVs and their 
MADM model as their new extension. In this study, we first define a new sine SvNV, which 
integrates sine functions into the membership functions of indeterminacy, falsehood, and truth, and 
the Einstein operation laws of sine SvNVs. Then, we present the sine SvNV Einstein weighted 
average and geometric AOs and their properties. Furthermore, we develop a MADM model based 
on the proposed Einstein AOs in a SvNV circumstance. Lastly, we apply the developed MADM 
model to a site selection example of a hydrogen power plant as the verification of its application in 
a SvNV circumstance. The decision results reveal the rationality and validity of the developed 
model with respect to the comparison of the related models. 

DOI: 10.5281/zenodo.10703078