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On q`‐Rung Orthopair Neutrosophic Metric Spaces and Topological Properties

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we introduce the novel structure of the q`‐rung orthopair neutrosophic metric space (q`‐RˇONM∧S), which unifies and extends the frameworks of q`‐rung orthopair fuzzy sets and neutrosophic metric spaces. The proposed model incorporates membership, nonmembership, and indeterminacy degrees within a q`‐rung orthopair framework, thereby ...
N. Muthulakshmi +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

Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces

Neutrosophic Sets and Systems, 2014
In this paper, we generalize the crisp topological space to the notion of neutrosophic crisp topological space, and we construct the basic concepts of the neutrosophic crisp topology. In addition to these, we introduce the de nitions of neutrosophic crisp continuous function and neutrosophic crisp compact spaces.
A. A. Salama, Florentin Smarandache, Valeri Kroumov +2 more
openaire +4 more sources

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 Partial Metric Spaces and Fixed Point Theorems

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, neutrosophic partial metric spaces are defined, and their basic properties and examples are obtained. Furthermore, the relations between neutrosophic partial metric spaces, classical metric spaces, fuzzy partial metric spaces, and fuzzy are analyzed.
Abdullah Kargın, Bilal Bilalov
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
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Neutrosophic ωα - Closed Sets in Neutrosophic Topological Spaces [PDF]

Journal of Computer and Mathematical Sciences, 2018
Aim of this present paper is, we introduce and investigate a new class of closed sets is called Neutrosophic ωα-closed sets in Neutrosophic topological spaces and its properties and characterization are discussed details.
T. Rajesh Kannan, S. Chandrasekar
openaire +2 more sources

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 +5 more
wiley +1 more source

Neutrosophic λ-Closed Set and Related Mappings in Neutrosophic Topological Spaces [PDF]

Neutrosophic Sets and Systems
Studying open and closed set variations is crucial in neutrosophic topology, given the growing significance of neutrosophic sets in various applications.
Shivangi Tyagi, Mridul Kumar Gupta
doaj +1 more source

neutrosophic set
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