Cubic Spherical Neutrosophic Sets and Selection of  Electric Truck Using Cosine Similarity Measur

S. Krishnaprakash; R. Mariappan; Said Broumi

Authors

S. Krishnaprakash Department of Mathematics, Sri Krishna College of Engineering and Technology, Coimbatore, Tamilnadu, India- 641 008;
R. Mariappan Department of Mathematics, Karpagam College of Engineering, Coimbatore, Tamilnadu, India- 641 032;
Said Broumi Laboratory of Information Processing, Faculty of Science Ben MSik, University Hassan II, Casablanca, Morocco

Keywords:

neutrosophic sets; cubic spherical neutrosophic sets; extension of neutrosophic sets; neutrosophic Archimedean triangular norms and conorms.

Abstract

The concepts of cubic spherical neutrosophic sets (CSNSs), introduced and investigated by Gomathi
et al. [5], o er a geometric representation of collection of neutrosophic sets (NSs), enhancing their ability to
capture uncertainty. The formulation characterizes information using points on a sphere with a de ned center
and radius, providing a more precise depiction of fuzziness inherent in uncertain data. The cubic spherical
neutrosophic Archimedean triangular norms(ATN) and conorms (ATCN), expanding the models capabilities
to handle uncertainty. These algebraic operators enable the aggregation and combination of uncertain informa
tion, o ering a more comprehensive approach to decision-making. The research further presents a method for
solving multiple-criteria decision-making problems within the cubic spherical neutrosophic context, leveraging
the newly integrated norms and conorms. The algorithm utilizes the cosine similarity measure of cubic spher
ical neutrosophic sets, exempli ed through an application involving the selection of the most e ective electric
truck. This extended framework provides decision-makers with enhanced tools to navigate complex decision
landscapes amidst uncertainty, facilitating more informed and robust choices across diverse domains.

DOI: 10.5281/zenodo.11206339