Basic Statistical Concepts On Neutrosophic Soft Sets Siva Naga Malleswari V, Amarendra Babu V, Bhagya Lakshmi K Neutrosophic Sets and Systems, 2025 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.
SOME COMMON FIXED POINT THEOREMS IN B-METRIC SPACES VIA F-CLASS FUNCTION WITH APPLICATIONS Advances in Fixed Point Theory, 2024 This article explores the existence of common fixed points for two pairs of self-maps satisfying a contractive condition involving rational expression using F-class function in complete b-metric spaces. In order to support our findings, we draw some corollaries and give examples. Finally, we present applications to nonlinear integral, functional equations and fractional differential equations.
ε, δ – Filters of Lattice Wajsberg Algebras V. Amarendra Babu, , , , G. Bhanu .., T. Anitha International Journal of Neutrosophic Science, 2023 In this paper, we defined the ε, δ – filters and (φ, ρ)- filters of Lattice Wajsberg algebras and related assets are discussed. We prove that every (ε, ε)– filters are (ε, ε V δ)– filters and provide the condition for (ε, ε V δ)– filters are (ε, ε)– filters. Further conditions for ε V δ –filters are discussed.
MBJ-Neutrosophic Positive Implicative LI-ideals, Associative LIideals, and Fantastic LI-ideals Amarendra Babu. V., , , , Abida Begum. K., Siva Naga Malleswari. V. International Journal of Neutrosophic Science, 2023 The MBJ-Neutrosophic positive implicative LI-ideals, the MBJ-Neutrosophic associative LI-ideals, and the MBJ-Neutrosophic fantastic LI-ideals are all introduced in this study. Of all these ideals, several their qualities and corresponding conditions were explored. We have demonstrated how every positive implicative MBJ-Neutrosophic LI-ideal evolved into an MBJ-Neutrosophic LI-ideal, MBJ-Neutrosophic implicative LI-ideal, and MBJ-Neutrosophic fantastic LI-ideal. Additionally, it was demonstrated that any MBJ-Neutrosophic fantastic LI-ideal is a MBJ-Neutrosophic associative LI-ideal.
Application of Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra V. S. Naga Malleswari, , , , , , G. Luka, Bhagyalakshmi Kothuru, T. Srinivasa Rao, V. Amarendra Babu International Journal of Neutrosophic Science, 2023 We introduced Neutrosophic implicative filters and Neutrosophic positive implicative filters in Lattice implication algebra. We proved some properties and equivalent conditions of both the filters. Finally we proved that “Every Neutrosophic positive implicative filter is a Neutrosophic implicative filter” and “Every Neutrosophic positive implicative filter is a Neutrosophic filter”.
Ternary Γ-SO-semirings-4 International Journal of Advanced Science and Technology, 2019
Ternary Γ-SO-semirings-3 Bhagyalakshmi Kothuru*, , V.Amarendra Babu, and International Journal of Innovative Technology and Exploring Engineering, 2019
Vague seperation and connectedness V. Amarendra Babu, R Ramya Swetha, T. Anitha, C Chang, W Gau, et al. International Journal of Innovative Technology and Exploring Engineering, 2019
Transitive LI – ideals of lattice implication algebra Journal of Advanced Research in Dynamical and Control Systems, 2019
Introduction to vague topology Journal of Advanced Research in Dynamical and Control Systems, 2017
Vague vector spaces on sub graphs Gazi University Journal of Science, 2017