Izvorni znanstveni članak
https://doi.org/10.1080/00051144.2024.2309088
The energy of multi-valued neutrosophic matrix and neutrosophic hesitant matrix and relationship between them in multi-criteria decision-making
D. Jeni Seles Martina
; Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India
G. Deepa
; Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India
*
* Dopisni autor.
Sažetak
The concept of energy in graphs and matrices is frequently used in all application fields. The
energy of a matrix is an extended version of the energy of a graph. The neutrosophic matrix
energy concept needs to be more noticeable in multi-criteria decision-making environments.
This study presents the concept of the energy of a multi-valued neutrosophic matrix. The upper
and lower bounds of the proposed energy were determined. The connection between the
neutrosophic hesitant matrix and the multi-valued neutrosophic matrix is provided. Since the
parameters of the two matrices differ in truth, indeterminacy, and false entries, the matrix is
converted into a single-valued form, and then the energy was calculated. The MCDM problem
was addressed with the proposed energy, which is solved by a novel decision-making method.
The task is to select a machine from a group of repaired machines in a particular industry that
is in good condition. The final ranking values are calculated by the ranking energy formula that
decides which is preferred. Then the comparative results were given to demonstrate the accuracy
of the proposed energy outcomes.
Ključne riječi
Matrix energy; multi-valued neutrosophic fuzzy matrix (MVNFM); neutrosophic hesitant fuzzy matrix (NHFM); multi-criteria decision-making (MCDM)
Hrčak ID:
323042
URI
Datum izdavanja:
31.1.2024.
Posjeta: 0 *