On Some Algebraic Properties of n‐Refined Neutrosophic Elements and n‐Refined Neutrosophic Linear Equations

M Abobala - Mathematical Problems in Engineering, 2021 - Wiley Online Library
This paper studies the problem of determining invertible elements (units) in any n‐refined
neutrosophic ring. It presents the necessary and sufficient condition for any n‐refined …

Single and multi-valued neutrosophic hypersoft set and tangent similarity measure of single valued neutrosophic hypersoft sets

M Saqlain, N Jafar, S Moin, M Saeed… - Neutrosophic Sets and …, 2020 - books.google.com
As the analysis of classical sets, fuzzy set [1] and intuitionistic fuzzy set [2], the neutrosophic
set was introduced by Smarandache [3, 4] to capture the insufficient, indicate, uncertain and …

[PDF][PDF] Foundations of neutrosophic number theory

M Abobala - Neutrosophic Sets and Systems, 2021 - digitalrepository.unm.edu
The aim of this paper is to establish a strong foundation of number theoretical concepts in
the neutrosophic ring of integers 𝑍 (𝐼). This work generalizes and deals with necessary and …

New similarity measures for single-valued neutrosophic sets with applications in pattern recognition and medical diagnosis problems

JS Chai, G Selvachandran, F Smarandache… - Complex & Intelligent …, 2021 - Springer
The single-valued neutrosophic set (SVNS) is a well-known model for handling uncertain
and indeterminate information. Information measures such as distance measures, similarity …

Neutrosophic Real Inner Product Spaces

M Abobala - Neutrosophic Sets and Systems, 2021 - hal.science
The objective of this work is to define for the first time the concept of inner product in a
neutrosophic vector space V (I) and a refined neutrosophic vector space V (1, 2). Also, this …

[PDF][PDF] An introduction to refined neutrosophic number theory

M Abobala, M Ibrahim - Neutrosophic sets and systems, 2021 - fs.unm.edu
Number theory is concerned with properties of integers and Diophantine equations.
Theobjective of this paper is dedicated to introduce the basic concepts in refined …

[PDF][PDF] Semi homomorphisms and algebraic relations between strong refined neutrosophic modules and strong neutrosophic modules

M Abobala - Neutrosophic sets and systems, 2021 - digitalrepository.unm.edu
The objective of this paper is to define and study the concept of semi homomorphism
between two modules defined over different rings. Semi homomorphisms can help in the …

Big data-assisted urban governance: An intelligent real-time monitoring and early warning system for public opinion in government hotline

Z Zhang, X Lin, S Shan - Future Generation Computer Systems, 2023 - Elsevier
The implementation of big data-based analysis, conducting forecasts, and increasing
service capabilities in smart government affairs can effectively enhance the efficiency of …

[HTML][HTML] Uncertainty and decision-making with multi-polar interval-valued neutrosophic hypersoft set: A distance, similarity measure and machine learning approach

M Saqlain, H Garg, P Kumam, W Kumam - Alexandria Engineering Journal, 2023 - Elsevier
The issue of decision-making (DM) is intricate due to the environment's ambiguous,
imprecise, and uncertain nature, particularly when multiple attributes are involved and …

[HTML][HTML] La aplicación de la neutrosofía en las ciencias médicas: una revisión bibliográfica narrativa

J Estupiñán Ricardo, MY Leyva Vázquez… - Revista Cubana de …, 2023 - scielo.sld.cu
El presente estudio tiene como objetivo principal examinar la aplicación de la neutrosofía
en el campo de las ciencias médicas, a través de una revisión bibliográfica narrativa. Se ha …