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

Mohammad Abobala

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

http://dx.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
2. 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 , Winter 2021, , Pages 33-40

http://dx.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
3. Neutrosophic soft matrices and its application in medical diagnosis

Mamoni Dhar

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

http://dx.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
4. K-algebras on quadripartitioned single valued neutrosophic sets

Mohanasundari Mohan; Mohana Krishnaswamy

Volume 1, Issue 4 , Autumn 2020, , Pages 346-362

http://dx.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
5. Some remarks on neutro-fine topology

Veerappan Chinnadurai; Mayandi Pandaram Sindhu

Volume 1, Issue 3 , Summer 2020, , Pages 169-186

http://dx.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
6. Generalizations and alternatives of classical algebraic structures to neutroAlgebraic structures and antiAlgebraic structures

Florentin Smarandache

Volume 1, Issue 2 , Spring 2020, , Pages 85-87

http://dx.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
7. Application of transportation problem under pentagonal Neutrosophic environment

Sapan Kumar Das

Volume 1, Issue 1 , Winter 2020, , Pages 27-41

http://dx.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