Neutrosophic sets and their variants
On the Introduction to neutrosophic statistics and neutrosophic algebraic structures ( involving the fuzziness, similarity and the symmetry properties on the neutrosophic interval probability) (1)

SUNDAY ADESINA ADEBISI; Florentin Smarandache

Articles in Press, Accepted Manuscript, Available Online from 10 December 2022

https://doi.org/10.22105/jfea.2022.366160.1235

Abstract
  Abstract The neutrosophic interval statistical number (NISN) has been known to be very useful in expressing the interval values under indeterminate environments. One of the essential and so important useful as tools for measuring the degree of similarity between sets of given objects is the similarity ...  Read More

Neutrosophic sets and their variants
On refined neutrosophic finite p-group

Sunday Adesina Adebisi; Florentin Smarandache

Volume 4, Issue 2 , June 2023, , Pages 136-140

https://doi.org/10.22105/jfea.2022.368215.1236

Abstract
  The neutrosophic automorphisms of a neutrosophic groups  G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of  G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner ...  Read More

Neutrosophic sets and their variants
n-Cylindrical fuzzy neutrosophic topological spaces

Sarannya Kumari R; Sunny Joseph Kalayathankal; Mathews George; Florentin Smarandache

Volume 4, Issue 2 , June 2023, , Pages 141-147

https://doi.org/10.22105/jfea.2022.365810.1234

Abstract
  The objective of this study is to incorporate topological space into the realm of n-Cylindrical Fuzzy Neutrosophic Sets (n-CyFNS), which are the most novel type of fuzzy neutrosophic sets. In this paper, we introduce n-Cylindrical Fuzzy Neutrosophic Topological Spaces (n-CyFNTS), n-Cylindrical Fuzzy ...  Read More

Neutrosophic sets and their variants
On some related concepts n-cylindrical fuzzy neutrosophic topological spaces

Sarannya Kumari R; Sunny Joseph Kalayathankal; Mathews M George; Florentin Smarandache

Volume 4, Issue 1 , March 2023, , Pages 40-51

https://doi.org/10.22105/jfea.2023.377520.1240

Abstract
  The objective of this study is to incorporate topological space into the realm of n- Cylindrical Fuzzy Neutrosophic Sets (n-CyFNS), which are the most novel type of fuzzy neutrosophic sets. In this paper, we introduce  n-cylindrical Fuzzy neutrosophic topological spaces (n-CyFNTS), n- CyFN ...  Read More

Neutrosophic sets and their variants
A neutrosophic Student’s t –type of statistic for AR (1) random processes

Athanase Polymenis

Volume 2, Issue 4 , December 2021, , Pages 388-393

https://doi.org/10.22105/jfea.2021.287294.1149

Abstract
  Neutrosophic statistics are used when one is dealing with imprecise and indeterminate data or parameters. In the present paper we propose a method for performing a neutrosophic Student’s t –type of statistical test that concerns the population mean when data arise from an autoregressive process ...  Read More

Neutrosophic sets and their variants
An application of neutrosophic logic in the confirmatory data analysis of the satisfaction with life scale

Volkan Duran; Selcuk Topal; Florentin Smarandache

Volume 2, Issue 3 , September 2021, , Pages 262-282

https://doi.org/10.22105/jfea.2021.280497.1100

Abstract
  The main concept of neutrosophy is that any idea has not only a certain degree of truth but also a degree of falsity and indeterminacy in its own right. Although there are many applications of neutrosophy in different disciplines, the incorporation of its logic in education and psychology is rather scarce ...  Read More

Neutrosophic sets and their variants
Quadripartitioned neutrosophic pythagorean lie subalgebra

R. Radha; A. Stanis Arul Mary

Volume 2, Issue 3 , September 2021, , Pages 283-296

https://doi.org/10.22105/jfea.2021.293069.1157

Abstract
  A Quadripartitioned Neutrosophic Pythagorean (QNP) set is a powerful general format framework that generalizes the concept of Quadripartitioned Neutrosophic Sets and Neutrosophic Pythagorean Sets. In this paper, we apply the notion of quadripartitioned Neutrosophic Pythagorean sets to Lie algebras. We ...  Read More

Neutrosophic sets and their variants
A study of maximal and minimal ideals of n-refined neutrosophic rings

Mohammad Abobala

Volume 2, Issue 1 , March 2021, , Pages 16-22

https://doi.org/10.22105/jfea.2021.270647.1072

Abstract
  If R is a ring, then Rn(I) is called a refined neutrosophic ring. Every AH-subset of Rn(I) has the form P = ∑ni=0 p i Ii= {a0+a1I+⋯+anIn: ai∈p i}, where p i are subsets of the classical ring R. The objective of this paper is to determine the necessary and sufficient conditions on p i which ...  Read More

Neutrosophic sets and their variants
Neutrosophic soft matrices and its application in medical diagnosis

Mamoni Dhar

Volume 2, Issue 1 , March 2021, , Pages 23-32

https://doi.org/10.22105/jfea.2021.246237.1000

Abstract
  In real life situations, there are many issues in which we face uncertainties, vagueness, complexities and unpredictability. Neutrosophic sets are a mathematical tool to address some issues which cannot be met using the existing methods. Neutrosophic soft matrices play a crucial role in handling indeterminant ...  Read More

Neutrosophic sets and their variants
Neutrosophication of statistical data in a study to assess the knowledge, attitude and symptoms on reproductive tract infection among women

Somen Debnath

Volume 2, Issue 1 , March 2021, , Pages 33-40

https://doi.org/10.22105/jfea.2021.272508.1073

Abstract
  Statistics mainly concerned with data that may be qualitative or quantitative. Earlier we have used the notion of statistics in the classical sense where we assign values that are crisp. But in reality, we find some areas where the crisp concept is not sufficient to solve the problem. So, it seems difficult ...  Read More

Neutrosophic sets and their variants
K-algebras on quadripartitioned single valued neutrosophic sets

Mohanasundari Mohan; Mohana Krishnaswamy

Volume 1, Issue 4 , December 2020, , Pages 325-339

https://doi.org/10.22105/jfea.2020.254945.1026

Abstract
  Abstract Quadripartitioned single valued neutrosophic (QSVN) set is a powerful structure where we have four components Truth-T, Falsity-F, Unknown-U and Contradiction-C. And also it generalizes the concept of fuzzy, initutionstic and single valued neutrosophic set. In this paper we have proposed the ...  Read More

Neutrosophic sets and their variants
Some remarks on neutro-fine topology

Veerappan Chinnadurai; Mayandi Pandaram Sindhu

Volume 1, Issue 3 , September 2020, , Pages 159-179

https://doi.org/10.22105/jfea.2020.251783.1020

Abstract
  The neutro-fine topological space is a space that contains a combination of neutrosophic and fine sets. In this study, the various types of open sets such as generalized open and semi-open sets are defined in such space. The concept of interior and closure on semi-open sets are defined and some of their ...  Read More

Neutrosophic sets and their variants
Generalizations and alternatives of classical algebraic structures to neutroAlgebraic structures and antiAlgebraic structures

Florentin Smarandache

Volume 1, Issue 2 , June 2020, , Pages 81-83

https://doi.org/10.22105/jfea.2020.248816.1008

Abstract
  In this paper we present the development from paradoxism to neutrosophy, which gave birth to neutrosophic set and logic and especially to NeutroAlgebraic Structures (or NeutroAlgebras) and AntiAlgebraic Structures (or AntiAlgebras) that are generalizations and alternatives of the classical algebraic ...  Read More

Neutrosophic sets and their variants
Application of transportation problem under pentagonal neutrosophic environment

Sapan Kumar Das

Volume 1, Issue 1 , March 2020, , Pages 27-40

https://doi.org/10.22105/jfea.2020.246633.1001

Abstract
  The paper talks about the pentagonal Neutrosophic sets and its operational law. The paper presents the cut of single valued pentagonal Neutrosophic numbers and additionally introduced the arithmetic operation of single-valued pentagonal Neutrosophic numbers. Here, we consider a transportation problem ...  Read More