Neutrosophic Linguistic Rhotrix in Managerial Decision Making

R. Priya; Nivetha Martin; Florentine Smarandache

Authors

R. Priya Department of Mathematics, Sethu Institute of Technology, Madurai, India
Nivetha Martin Department of Mathematics, Arul Anandar College (Autonomous), Karumathur, India
Florentine Smarandache Department of Mathematics, University of New Mexico, USA

Keywords:

Linguistic Rhotrix, Neutrosophy Linguistic Rhotrix, Decisioning

Abstract

The developments in rhotrix theory and their applications are unveiled at recent times. This research
work proposes the notion of linguistic rhotrix conjoining the theories of linguistic matrix and rhotrix. The
theory of linguistic rhotrix comprising fundamental definitions, operators and classifications is presented in
this study. The algorithmic framework of applying linguistic rhotrix to decisioning problem is presented in this
work. A managerial decision-making illustration is putforth to validate the proposed decisioning framework
based on neutrosophic quantifications of linguistic rhotrix. The results obtained are compared with fuzzy and
intuitionistic fuzzy quantifications to demonstrate the efficacy of neutrosophic quantifications of linguistic
variables. The results obtained using neutrosophic quantifications are more optimal and reliable in
comparisons with the other two quantifications. The proposed decisioning approach based on neutrosophic
linguistic rhotrix is more robust and competent in handling intricate decisioning environment.

DOI: 10.5281/zenodo.14827030