Basic Statistical Concepts On Neutrosophic Soft Sets

Siva Naga Malleswari V; Amarendra Babu V; Bhagya Lakshmi K

Authors

Siva Naga Malleswari V Assistant Professor, PVP Siddhartha Institute of Technology, Vijayawada, Andhra Pradesh, India;
Amarendra Babu V Assistant Professor, Acharya Nagarjuna University, Guntur, Andhra Pradesh, India;
Bhagya Lakshmi K Associate Professor, KKR & KSR Institute of Technology, Guntur, Andhra Pradesh, India;

Keywords:

Neutrosophic soft set(NSS); Neutrosophic soft mean; Neutrosophic soft covariance; Neutrosophic soft correlation coefficient.

Abstract

This study explores the basic statistical measures—mean, standard deviation, covariance,
and correlation—within the framework of neutrosophic soft sets. Neutrosophic soft sets provide a
powerful mathematical model for handling uncertainty, indeterminacy, and inconsistency in
real-world data analysis. The study defines and formulates these statistical concepts under
neutrosophic soft environments, incorporating true, indeterminate, and false memberships. A
systematic approach to computing the neutrosophic soft mean and standard deviation is presented
to measure central tendency and data dispersion. Furthermore, neutrosophic soft covariance and
correlation are examined to analyze relationships between uncertain datasets. Practical
applications in decision-making, medical diagnostics, and financial analysis demonstrate the
effectiveness of these statistical tools. This research enhances statistical methodologies for uncertain
data, offering a robust analytical foundation for fields requiring flexible and reliable data
interpretation.

DOI: 10.5281/zenodo.15270700