Results 51 to 60 of about 222 (120)
New Open Sets in N-Neutrosophic Supra Topological Spaces [PDF]
Neutrosophic Sets and Systems, 2020 The neutrosophic set is an imprecise set to deal the concepts of uncertainty, vagueness and irregularity, which consists of three independent functions called truth-membership, indeterminacy-membership and falsity-membership.
G.Jayaparthasarathy +3 more
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A Neutrosophic Set‐Based Active Contour Model for Medical Image Segmentation
IET Image Processing, Volume 20, Issue 1, January/December 2026.We propose a neutrosophic set‐based active contour model for accurate and efficient segmentation of magnetic resonance (MR) and retinal images. By combining neutrosophic truth, falsity, and indeterminacy subsets with a Heaviside‐based level set formulation, the method robustly handles noise, intensity inhomogeneity, and weak edges.
Kazım Hanbay
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Metrizability of Topology, Precompactness and Semi-Compatibal Mappings in Neutrosophic Metric Spaces [PDF]
Neutrosophic Sets and SystemsIn this manuscript, we discuss the metrizability of the topology produced by arbitrary neutrosophic metric space. Further, we demonstrate that the resulting topology is completely metrizable if the neutrosophic metric space is complete and a neutrosophic
Khaleel Ahmad, Umar Ishtiaq
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this paper, utilizing the concept of neutrosophic metric spaces proposed by Kirisci and Simsek, we establish a fixed point theorem of Edelstein type within this framework. A numerical example is provided to illustrate the validity of the main result. Furthermore, we present an application to a general SIR‐type epidemic model.
Vishal Gupta +3 more
wiley +1 more source
Counterpart of Boundary Topological Operators Within the Framework of Primal Topological Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we aim to introduce a new operator via primal topological spaces, called the ⊤‐operator, and look into its basic properties. Among the interesting results we prove, for every subset D, we have (1) D⊤⊆Fr(D), where Fr is the topological boundary operator, and (2) D⊤ = ∅, whenever either a subset D or its complement lies outside the given ...
Murad Özkoç +4 more
wiley +1 more source
Single valued neutrosophic mappings defined by single valued neutrosophic relations with applications [PDF]
Neutrosophic Sets and Systems, 2020 In this paper, we introduce the notion of single valued neutrosophic mapping defined by single valued neutrosophic relation which is considered as a generalization of fuzzy mapping defined by fuzzy relation and several properties related to this notion
Abdelkrim Latreche +3 more
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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 +2 more
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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 +2 more
wiley +1 more source
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 +2 more
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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.
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