Energy of a neutrosophic soft set and its applications to multi-criteria decision-making problems

Abstract

 In our paper, we continue the study of the theory of neutrosophic soft sets and their properties.
 Based on the singular values of the corresponding matrix, we de ne the energy of a neutrosophic soft set, as
 well as the lower energy of a neutrosophic soft set and the upper energy of a neutrosophic soft set, allowing
 us to introduce an e ective method for decision-making. To do this, we rst write a neutrosophic soft set as
 a matrix and multiply it by its transpose with respect to the given product and the given norm t, s. Then,
 we consider the limits of the de ned energies, which are essentially non-negative numerical values. The paper
 demonstrates through examples how the introduced method can be successfully applied to many problems
 containing uncertainties.

DOI: 10.5281/zenodo.14549817