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

Sumin Zhang; Jun Ye

Authors

Sumin Zhang School of Mechanical and Electrical Engineering, Shaoxing University, Shaoxing, 312000, P. R. China
Jun Ye Institute of Rock Mechanics, Ningbo University, Ningbo, Zhejiang, 315211, P.R. China

Keywords:

decision making problem; sine single-valued neutrosophic value; einstein operation law; sine single-valued neutrosophic value Einstein aggregation operator

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