Results 41 to 50 of about 122 (101)

Adding Neutrosophic Topological Indices to Graphs for Social Network Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Topological indices are widely used in graph analysis under uncertainty. However, existing fuzzy and intuitionistic approaches do not fully capture indeterminacy. Neutrosophic graphs, with their truth, indeterminacy and falsity components, offer a more comprehensive framework. Despite the frequent use of the Wiener index in neutrosophic contexts, other
S. R. Yaseen, A. M. Salih, M. W. Alomari, Smritijit Sen   +3 more
wiley   +1 more source

Degree‐Based Fuzzy Topological Indices of Multipolar q‐Rung Orthopair Fuzzy Flower Graph

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Fuzzy topological indices have diversified applications in fuzzy environment because the physicochemical properties of chemical structures can be determined by these indices. It is beneficial to compute these topological indices for fuzzy multicriteria decision‐making problems.
Nabilah Abughazalah, Naveed Yaqoob, Andleeb Kausar, Muhammad Gulistan, Smritijit Sen   +4 more
wiley   +1 more source

An Effective Approach in Fuzzy Graph Molecular Modeling Using Randic Index and Its Applications in Medicinal Chemistry for Parkinson’s Drugs

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In graph theory, the Randic index (R) is a topological graph invariant widely used as a physicochemical descriptor in the mathematical modeling of molecular structures. However, traditional molecular graphs fail to capture the heterogeneity of chemical bonds, since they treat all edges as uniform, ignoring variations in bond lengths and strengths.
Ying Wang, Ali Asghar Talebi, Mahsa Sadeghi, Aysha Khan, Jana Shafi, Pramita Mishra   +5 more
wiley   +1 more source

Neutrosophic Crisp Bi-Topological Spaces

Neutrosophic Sets and Systems, 2018
In this paper, neutrosophic crisp bi-topological spaces, new types of open and closed sets in neutrosophic crisp bitopological spaces, the closure and interior neutrosophic crisp set and a new concept of open and closed sets are introduced. The basic properties of these types of open and closed sets and their properties are studied.
openaire   +2 more sources

Some Novel Fixed‐Point Results in Neutrosophic Soft Metric Space With Application in Decision‐Making to Select the Optimal Adsorbent

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this research paper, the concepts of compatible maps and maps of type α¯ and (β¯) within the framework of neutrosophic soft metric spaces (NSMS) are established. The interconnections between α¯‐ and (β¯)‐type maps are also clarified. Additionally, the notions of R‐weakly commuting and weakly commuting mappings in NSMS are introduced. A proof for the
Vishal Gupta, Nitika Garg, Rahul Shukla, Pramita Mishra   +3 more
wiley   +1 more source

An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
Every field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the natural sciences to the physical sciences, and from technical education to fine arts education.
K. M. Abirami, Narayanan Veena, R. Srikanth, P. Dhanasekaran, Shih Pin Chen   +4 more
wiley   +1 more source

Optimal Network Analysis through Vertex Order Coloring of Intuitionistic Fuzzy Graph Operations

Journal of Mathematics, Volume 2024, Issue 1, 2024.
Intuitionistic fuzzy graphs (IFGs) are a powerful tool for modeling uncertainty and complex relationships. They offer versatile frameworks for addressing real‐world challenges. In this research, we have introduced intuitionistic fuzzy vertex order coloring (IFVOC) and analyzed the alpha‐strong (α˜str), beta‐strong (β˜str), and gamma‐strong (γ˜str ...
A. Meenakshi, S. Dhanushiya, Hong Qin, Muniyandy Elangovan, Jun Ye   +4 more
wiley   +1 more source

Neutrosophic Crisp α-Topological Spaces

Neutrosophic Sets and Systems, 2016
In this paper, a generalization of the neutrosophic topological space is presented. The basic definitions of the neutrosophic crisp α-topological space and the neutrosophic crisp α-compact space with some of their characterizations are deduced. Furthermore, we aim to construct a netrosophic crisp α-continuous function, with a study of a number its ...
A.A.Salama, I.M.Hanafy, Hewayda Elghawalby, M.S.Dabash   +3 more
openaire   +1 more source

Neutrosophic Crisp Set Theory [PDF]

, 2015
Since the world is full of indeterminacy, the Neutrosophics found their place into contemporary research. We now introduce for the first time the notions of Neutrosophic Crisp Sets and Neutrosophic Topology on Crisp Sets.
Salama, A. A., Smarandache, Florentin
core  

Separation Axioms Associated With Simple Digraphs and Topological Spaces [PDF]

The main idea of this article is to define a fuzzy crisp set, intuitionistic crisp set and neutrosophic crisp set from simple digraphs. These sets have their own impact to generate the subbasis which in turn yields topological spaces.
Eswari, K, Sundareswaran, R, Devi, V Sutha   +2 more
core   +2 more sources