Results 81 to 90 of about 1,195 (193)

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

Connectedness via Primal Topological Spaces With Applications of Primals to Rough Operators

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In topology, connectedness provides insight into how a space is “in one piece,” rather than being split into disjoint parts. Its significance can be seen through its various applications, such as understanding the nature of solutions to differential equations, the intermediate value theorem, and attaining a maximum and minimum for continuous real ...
Murad Özkoç, Faical Yacine Issaka, Tareq M. Al-shami, Anwar J. Fawakhreh, Ljubisa Kocinac   +4 more
wiley   +1 more source

On Diminishing Fuzzy Neutrosophic Topological Spaces over Nano Topology [PDF]

Neutrosophic Sets and Systems
As an extension and also, a necessity to compute the indeterminacy, the concept of diminishing fuzzy sets is protracted to introduce the conception of diminishing fuzzy (single-valued) neutrosophic sets in the standard unit interval.
Jansirani N, Vasugi T, Kamal Nasir V
doaj   +1 more source

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

Dual-Topology Linguistic Neutrosophic Filters for Teaching Quality Analysis in University Dance Aesthetic Education [PDF]

Neutrosophic Sets and Systems
Assessing teaching quality in university dance aesthetic education demands methods that are precise, fair, and sensitive to style. This paper introduces a dual-topology, linguistically neutrosophic framework that represents each classroom event as a ...
Duoduo Wang, Yang Liu
doaj   +1 more source

A Comparison of Metaheuristic Algorithms for Structural Optimization: Performance and Efficiency Analysis

Advances in Civil Engineering, Volume 2024, Issue 1, 2024.
Optimization challenges effectively mirror numerous complex real‐world problems. These are typically addressed using two methodologies: approximate methods and exact methods. Within the approximate category, meta‐heuristic methods are prominent. These algorithms employ systematic principles to avoid local optima or prevent their occurrence altogether ...
Saeedeh Ghaemifard, Amin Ghannadiasl, Mohammad Khajehzadeh   +2 more
wiley   +1 more source

On Neutrosophic b-open sets in Neutrosophic topological space

Journal of Physics: Conference Series, 2018
Smarandache proposed the approach of neutrosophic sets. Neutrosophic sets deals with uncertain data. This paper defines the notion of neutrosophic b-open sets and neutrosophic b-closed sets and their properties are investigated. Further neutrosphic b-interior and neutrosphic b-closure operators are studied and their relationship with other operators ...
P Evanzalin Ebenanjar, H Jude Immaculate, C Bazil Wilfred   +2 more
openaire   +2 more sources

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 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   +1 more source