Research Paper Fuzzy sets and their variants
The nilpotent ( p-group) of (D25 X C2n) for m > 5

Sunday Adesina Adebisi; Mike Ogiugo; Michael Enioluwafe

Volume 4, Issue 1 , March 2023, Pages 1-7

  Abstract The term fuzzy logic is generic as it can be used to describe the likes of fuzzy arithmetic, fuzzy mathematical programming, fuzzy topology, fuzzy graph theory ad fuzzy data analysis which are customarily called fuzzy set theory. The aspect of pure Mathematics has undergone a lot of dynamic ...  Read More

Research Paper Boolean-valued fuzzy sets and their variants
Global domination in Fuzzy graphs using Strong arcs

O. T Manjusha

Volume 4, Issue 1 , March 2023, Pages 8-17

  Sambathkumar introduces the notion of global domination in graphs. According to him, a dominating set S of G is a global dominating set of G if S is also a dominating set of the complement of G.Nagoorgani and Jahir Hussain introduced the concept of global domination infuzzy graphs using effective arcs. ...  Read More

Research Paper Fuzzy multisets and their variants
Fuzzy metric topology space and manifold

Mahdi Mollaei

Volume 4, Issue 1 , March 2023, Pages 18-27

  This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces and fuzzy metric manifold spaces via the notations ...  Read More

Review Paper Pythagorean fuzzy sets and their variants
Spherical Distance Measurement Method for Solving MCDM Problems under Pythagorean Fuzzy Environment

Amal Kumar Adak; Gaurikant Kumar

Volume 4, Issue 1 , March 2023, Pages 28-39

  Multiple criteria decision analysis (MCDA) has been widelyinvestigated and successfully applied to many fields, owingto its great capability of modeling the process of actualdecision-making problems and establishing proper evaluationand assessment mechanisms. With the developmentof management and economics, ...  Read More

Research Paper Neutrosophic sets and their variants
n-Cylindrical Fuzzy Neutrosophic Topological Spaces

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

Volume 4, Issue 1 , March 2023, Pages 40-47

  This work is the continuation of our recent work entitled “n-Cylindrical Fuzzy Neutrosophic Topological Spaces (n-CyFNTS). In this paper, we present n-Cylindrical fuzzy neutrosophic (n-CyFN) continuous functions and related results. A characterization on n-CyFN continuous functions is proposed ...  Read More

Review Paper Plithogenic sets and their variants
An Overview of Plithogenic Set and Symbolic Plithogenic Algebraic Structures

Florentin Smarandache

Volume 4, Issue 1 , March 2023, Pages 48-55

  This paper is devoted to Plithogeny, Plithogenic Set, and its extensions. These concepts are branches of uncertainty and indeterminacy instruments of practical and theoretical interest. Starting with some examples, we proceed towards general structures. Then we present definitions and applications of ...  Read More

Research Paper Intuitionistic fuzzy sets and their variants
Some properties of Intuitionistic fuzzy modules

Behnam Talaee; Mehrnoosh Sobhani Oskooie; Bijan Davvaz

Volume 4, Issue 1 , March 2023, Pages 56-71

  In this paper, we discuss the structure of intuitionistic fuzzy projec- tive modules and investigate some properties of them. Also we study about intuitionistic fuzzy homomorphisms between intuitionistic fuzzy modules.We study about exact sequences, products and co-products, func- tors and relating topics ...  Read More