Results 61 to 70 of about 222 (120)

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

A New Neutrosophic Sets in Neutrosophic Topology

JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences
The neutrosophic sets approach was proposed by Smarandache. Uncertain data is handled using neutrosophic sets. Within thiss articles, we introduce a novel forms of somewhat open set within neutrosophic topological space also we investigate several their basic characteristics and examples within neutrosophic topological space.
Saeed, Asia I., SHareef , Hardi A.
openaire   +2 more sources

New Neutrosophic Sets Via Neutrosophic Topological Spaces

, 2018
In Geographical information systems (GIS) there is a need to model spatial regions with indeterminate boundary and under indeterminacy. The purpose of this chapter is to construct the basic concepts of the so-called "neutrosophic sets via neutrosophic topological spaces (NTs)".
Wadei Al-Omeri, Smarandache, Florentin
openaire   +2 more sources

Delving Into the Depths of the Properties and Behavior of Bipolar Pythagorean Neutrosophic Metric Spaces: A Theoretical Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper advances the theory of bipolar Pythagorean neutrosophic fuzzy (BPNF) sets by establishing their formalization within a topological and metric framework, while also demonstrating their role in decision‐making under uncertainty. The main contributions are as follows: (1) definition and characterization of BPNF topological spaces, providing a ...
Akiladevi Natarajan, Santhi Rathinasamy, Prasantha Bharathi Dhandapani, Md. Fayz-Al-Asad, Samy R. Mahmoud, Tareq Al-Shami   +5 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

Special Properties of Operators in Neutrosophic Crisp Topological Spaces [version 1; peer review: 2 approved]

F1000Research
Neutrosophic crisp sets are an important and recent topic that has entered both pure and applied mathematics, especially general topology. A neutrosophic crisp topological space is defined as a generalization of classical topology in a broad sense ...
Hossam AL. Salman, Reyadh D. Ali
doaj   +1 more source

Star Neutrosophic Fuzzy Topological Space

International Journal of Neutrosophic Science, 2020
In this paper, we aim to develop a new type of neutrosophic fuzzy set called the star neutrosophic fuzzy set as a generalization to star neutrosophic crisp set defined in by Salama et al.[8], and study some of its properties. Adedd to, we introduce the notion of star neutrosophic fuzzy topological space as a generalization to some topological consepts ...
Salama, A. A., ElGhawalby, Hewayda, Nasr, A. M.   +2 more
openaire   +2 more sources

Neutrosophic Rings and Neutrosophic Matrices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let R be an arbitrary ring and R be the neutrosophic ring. We first show that R is isomorphic to the direct sum R ⊕ R. Furthermore, we investigate matrices over a neutrosophic field F and derive an explicit formula for the determinant of a neutrosophic matrix.
Zhenqiang Zhou, Nenghui Zhu, Smritijit Sen   +2 more
wiley   +1 more source

On Fermatean Neutrosophic e-continuous and e-irresolute Maps [PDF]

Neutrosophic Sets and Systems
The primary objective of this paper is to introduce and develop the concept of Fermatean neutrosophic e-continuous maps in the framework of Fermatean neutrosophic topological spaces.
A. Vadivel, P. Thamilarasi, S. Priya
doaj   +1 more source

Neutrosophic Local Function and Generated Neutrosophic Topology

, 2020
In this paper we introduce the notion of ideals on neutrosophic set which is considered as a generalization of fuzzy and fuzzy intuitionistic ideals studies in [9,11] , the important topological neutrosophic ideals has been given in [4]. The concept of neutrosophic local function is also introduced for a neutrosophic topological space.
Salama, A. A., Smarandache, Florentin
openaire   +1 more source