Research Paper Fuzzy sets and their variants
On algebraic aspects of η-fuzzy subgroups

Muhammad Waseem Asghar; Khushdil Ahmad

Volume 4, Issue 2 , June 2023, Pages 65-80

https://doi.org/10.22105/jfea.2023.371356.1237

Abstract
  In this paper, we define the term " η-fuzzy subgroup" and show that every fuzzy subgroup is a η-fuzzy subgroup. We define some of the algebraic properties of the concept of η-fuzzy cosets. Furthermore, we initiate the study of the η-fuzzy normal subgroup and the quotient group with respect  to the ...  Read More

Research Paper Cubic sets and their variants
A cubic set discussed in incline algebraic sub–structure

Surya Manokaran; Prakasam Muralikrishna; Seyyed Ahmad Edalatpanah; Ramin Goudarzi Karim

Volume 4, Issue 2 , June 2023, Pages 81-91

https://doi.org/10.22105/jfea.2023.397221.1264

Abstract
  An effective and flexible method for encoding ambiguous data is using cubic sets. The concept of incline algebraic sub-structure is considered and is interlinked with the notation of the cubic set to define cubic subincline. The sense of cubic sub incline of algebra is established with relevant results. ...  Read More

Research Paper Intuitionistic fuzzy sets and their variants
Intuitionistic fuzzy complex subgroups with respect to norms (T,S)

Rasul Rasuli

Volume 4, Issue 2 , June 2023, Pages 92-114

https://doi.org/10.22105/jfea.2023.380561.1245

Abstract
  In our work in this paper, we define intuitionistic fuzzy complex subgroups with respect to t-norm T and s-norm S and investigate some properties of them in detail. Next, we obtain some results about them and give some relationships between them. Later, we introduce the inverse, composition, intersection ...  Read More

Research Paper Picture fuzzy sets and their variants
Picture fuzzy semi-prime ideals

Amal Kumar Adak; Manish Kumar Gunjan; Niwan Kumar Agarwal

Volume 4, Issue 2 , June 2023, Pages 115-124

https://doi.org/10.22105/jfea.2023.395704.1261

Abstract
  Picture Fuzzy Sets (PFSs) are expanded to include Intuitionistic Fuzzy Sets (IFSs), with the extra advantage of avoiding underlying limitations. PFS based models may be adequate in situations when we face opinions involving more answer of types: yes, abstain and no. In this paper, the concepts of semi-prime ...  Read More

Research Paper Fermatean fuzzy sets and their variants
Pythagorean and fermatean fuzzy sub-group redefined in context of T ̃-norm and S ̃-conorm

Vishnu Narayan Mishra; Tarun Kumar; Mukesh Kumar Sharma; Laxmi Rathour

Volume 4, Issue 2 , June 2023, Pages 125-135

https://doi.org/10.22105/jfea.2023.396751.1262

Abstract
  This paper aims to study Pythagorean and Fermatean Fuzzy Subgroups (FFSG)  in the context of -norm and  -conorm functions. The paper examines the extensions of fuzzy subgroups, specifically "Pythagorean Fuzzy Subgroups (PFSG)" and "FFSG", along with their properties. In the existing literature ...  Read More

Research Paper 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

Research Paper 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