Pentapartitioned Single-Valued Neutrosophic Z-Numbers:  Theory and Applications

A. Mohammed shapique; R. Sudharani; K. Karuppiah; H. Prathab; M. Karthigeyan; S. Senthil

Authors

A. Mohammed shapique IFET College of Engineering, Villupuram, Tamilnadu;
R. Sudharani Department of Mathematics, Panimalar Engineering College, Nasarathpettai, Poonamallee, Bangalore Trunk Road, 600123;
K. Karuppiah Department of Mathematics, Government College of Engineering, Bodinayakkanur– 625582, Theni District, Tamil Nadu;
H. Prathab Department of Mathematics, Saveetha Engineering College, Chennai-602105;
M. Karthigeyan Department of Mathematics, Karpaga Vinayaga College of Engineering and Technology, Chinna Kolambakkam, Madhuranthagam-603308, Tamil Nadu;
S. Senthil Department of Mathematics, Faculty of Science and Humanities, R.M.K Engineering College, Kavaraipettai-601206,Tamilnadu;

Keywords:

Pentapartitioned neutrosophic sets, Z numbers, Aggregation operator, Score function, MCDM, Electric vehicle.

Abstract

This paper introduces a novel framework, Pentapartitioned Single-Valued Neutrosophic Z-Numbers
(PSVNZNs), to model uncertainty in decision-making problems. By integrating the five-component uncer
tainty representation of Pentapartitioned Neutrosophic Sets (PNSs) with the reliability aspect of Z-numbers,
PSVNZNs offer a comprehensive approach to tackle complex decision scenarios. A novel scoring function and
various aggregation operators, including weighted arithmetic, geometric, and hybrid averages, are developed
to facilitate decision-making processes. The proposed PSVNZN framework adheres to the properties of linear
averaging operators. To demonstrate its practical application, a multi-criteria decision-making (MCDM) prob
lem involving electric vehicle selection is considered. A graphical representation of the obtained scores further
enhances the clarity and interpretability of the results

DOI: 10.5281/zenodo.15186486