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Neutrosophic Vague Topological Spaces [PDF]

Neutrosophic Sets and Systems, 2019
The term topology was introduced by Johann Beredict Listing in the 19th century. Closed sets are fundamental objects in a topological space. In this paper, we use neutrosophic vague sets and topological spaces and we construct and develop a new concept
Mary Margaret A, Trinita Pricilla M, Shawkat Alkhazaleh   +2 more
doaj   +1 more source

Properties of Supra Equivalent Subsets and Their Applications via Supra R0 Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The extension of a topology by weakening its axioms is highly significant, as it generates new frameworks that preserve certain topological properties while allowing for the modeling of several practical problems. In this paper, we introduce the concept of supra equivalent subsets in the framework of a supra topological space and look at the main ...
Tareq M. Al-Shami, A. A. Azzam, Smritijit Sen   +2 more
wiley   +1 more source

New Types of Topologies and Neutrosophic Topologies

Neutrosophic Systems with Applications, 2023
In this paper, we recall the six new types of topologies that we introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology.
openaire   +2 more sources

Neutrosophic Nano Topology: An Analysis of Neut.nano αg#ψ-Open and Closed Functions and Their Properties

Advances in Nonlinear Variational Inequalities
This article provides an in-depth introduction to the fundamental concepts of neutrosophic nano αg^# ψ -open and closed functions within the context of neutrosophic nano topological spaces.
T.Nandhini
semanticscholar   +1 more source

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

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

Complex Neutrosophic Soft Topology with Multivariate Analysis: A Unified Framework for Signal-Template Relationships

European Journal of Pure and Applied Mathematics
A novel theoretical method based on the topological formulation of complex neutrosophic soft sets (CNSS) is presented in this work. We go on to provide a thorough one-value complex neutrosophic soft topology, defining the most important topological ...
Maha Mohammed Saeed, Raed Hatamleh, Hamza Ali Abujabal, Aqeedat Hussain, A. M. Khattak, M. Elashiry, Abdelhalim Hasnaoui, A. A. Abd El-latif   +7 more
semanticscholar   +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

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