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NEUTROSOPHİC TOPOLOGY ON SETS

International Conference on Modern Problems of Mathematics, Mechanics and their Applications
Abstract. We define the concept of neutrosophic topology (cotopology)  on X obtain that each neutrosophic topology is a descending family of topologies. Later in the paper, we introduce the concepts of base and subbase in neutrosophic topological space of sets.
Kemale Veliyeva   +2 more
openaire   +2 more sources

Interval neutrosophic sets and topology [PDF]

open access: yesKybernetes, 2009
PurposeIn 2005, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) to neutrosophic sets (NS), and other researchers introduced the notion of interval neutrosophic set (INSs), which is an instance of NS, and studied various properties. The notion of neutrosophic topology on the non‐standard interval is also due to Smarandache.
Francisco Gallego Lupiáñez
exaly   +4 more sources

Further Theory of Neutrosophic Triplet Topology and Applications

open access: yesSymmetry, 2020
In this paper we study and develop the Neutrosophic Triplet Topology (NTT) that was recently introduced by Sahin et al. Like classical topology, the NTT tells how the elements of a set relate spatially to each other in a more comprehensive way using the ...
Muhammad Gulistan   +2 more
exaly   +2 more sources

Optimizing Security Measures in Decentralized Mobile Networks with Neutrosophic Fuzzy Topology and PKI

2023 3rd International Conference on Technological Advancements in Computational Sciences (ICTACS), 2023
This study proposes a method to improve the security of decentralized mobile networks using Neutrosophic Fuzzy Local Function Algorithms D*, B*, and A* to optimize the decision variables (C, B, A), which are associated with different security measures ...
A. A. Salama   +4 more
semanticscholar   +1 more source

Covering-Based Rough Fuzzy, Intuitionistic Fuzzy and Neutrosophic Nano Topology and Applications

open access: yesIEEE Access, 2019
In recent years, “mathematical orientations on real-life problems”, which continue to increase, began to make a significant impact. Information systems for many decision-making problems consist of uncertain, incomplete, indeterminate and indiscernible ...
Selçuk Topal   +2 more
exaly   +2 more sources

Continuity and contra continuity via preopen sets in new construction fuzzy neutrosophic topology

2020
In this chapter, we define a new construction of the fuzzy neutrosophic topological spaces, called fuzzy neutrosophic pre-τ0,1 and fuzzy neutrosophic pre-τ0,2 spaces, then study the fuzzy continuity and fuzzy precontra continuous functions based on τ0,1 ...
Wadei Al-Omeri
exaly   +2 more sources

A Creative Approach on Bipolar Neutrosophic Nano Topology

Journal of Neutrosophic and Fuzzy Systems, 2022
In this article, Bipolar neutrosophic nano topology is introduced and some of its properties are studied. We found that, it is difficult to find a nano topology for every bipolar neutrosophic set.
G. ́, Dr.C .., W.F.Al Omeri
semanticscholar   +1 more source

Computation of Neutrosophic Soft Topology using Python

International journal of neutrosophic science, 2022
Python’s popularity is rising, whilst other languages are either stagnant or losing ground. The uncertainties involved in traditional methods cannot be overcome by soft sets, whereas neutrosophic sets can deal with ambiguous and inconsistent data.
J. J. M. Rabuni, N. Balamani
semanticscholar   +1 more source

On Product of Smooth Neutrosophic Topological Spaces [PDF]

open access: yesSymmetry, 2020
In this paper, we develop the notion of the basis for a smooth neutrosophic topology in a more natural way. As a sequel, we define the notion of symmetric neutrosophic quasi-coincident neighborhood systems and prove some interesting results that fit with the classical ones, to establish the consistency of theory developed.
Florentin Smarandache
exaly   +2 more sources

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