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Neutrosophic Number Nonlinear Programming Problems and Their General Solution Methods under Neutrosophic Number Environments [PDF]
Axioms, 2018 In practical situations, we often have to handle programming problems involving indeterminate information. Building on the concepts of indeterminacy I and neutrosophic number (NN) (z = p + qI for p, q ∈ ℝ), this paper introduces some basic operations of ...
Jun Ye, Wenhua Cui, Zhikang Lu
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An Introduction to Refined Neutrosophic Number Theory [PDF]
Neutrosophic Sets and Systems, 2021 Number theory is concerned with properties of integers and Diophantine equations. The objective of this paper is dedicated to introduce the basic concepts in refined neutrosophic number theory such as division, divisors, congruencies, and Pell's equation
Mohammad Abobala, Muritala Ibrahim
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The Neutrosophic Quaternions Numbers [PDF]
Neutrosophic Sets and SystemsThis article aims to study the neutrosophic quaternion numbers, where we defined the neutrosophic quaternions numbers and the two equal neutrosophic quaternions numbers, also, the neutrosophic quaternions numbers algebra were introduced by studying ...
Yaser Ahmad Alhasan +2 more
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Neutrosophic Triplet Group Based on Set Valued Neutrosophic Quadruple Numbers [PDF]
Neutrosophic Sets and Systems, 2019 Smarandache introduced neutrosophic quadruple sets and neutrosophic quadruple numbers [45] in 2015. These sets and numbers are real or complex number valued. In this study, we firstly introduce set valued neutrosophic quadruple sets and numbers. We give
Memet Şahin, Abdullah Kargın
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Partial Foundation of Neutrosophic Number Theory [PDF]
Neutrosophic Sets and Systems, 2021 The aim of this paper is to establish a partial foundation of number theoretical concepts in the neutrosophic ring of integers 𝑍(𝐼) because it is based on a partial order relationship.
Mohammad Abobala
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De-Neutrosophication Technique of Pentagonal Neutrosophic Number and Application in Minimal Spanning Tree [PDF]
Neutrosophic Sets and Systems, 2019 In this current era, neutrosophic set theory is a crucial topic to demonstrate the ambiguous information due to existence of three disjunctive components appears in it and it provides a wide range of applications in distinct fields for the researchers ...
Avishek Chakraborty +2 more
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A Model Describing the Neutrosophic Differential Equation and Its Application On Mine Safety [PDF]
Neutrosophic Sets and Systems, 2021 In the theory of uncertainty and approximation neutrosophy plays a significant role. Neutrosophy is tool emerged on standard or non-standard to measure the mathematical model of uncertainty, vagueness, ambiguity etc.
Debapriya Mondal +3 more
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Properties of SuperHyperGraph and Neutrosophic SuperHyperGraph [PDF]
Neutrosophic Sets and Systems, 2022 New setting is introduced to study dominating, resolving, coloring, Eulerian(Hamiltonian) neutrosophic path, n-Eulerian(Hamiltonian) neutrosophic path, zero forcing number, zero forcing neutrosophicnumber, independent number, independent neutrosophic ...
Henry Garrett
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Secure Dominance in Neutrosophic Graphs [PDF]
Neutrosophic Sets and Systems, 2023 Secure dominance is a significant proportion of dominance which plays vital role in communication networks. In this article, we present and analyze an idea of the secured neutrosophic dominance and totally neutrosophic dominance number of neutrosophic ...
Sivasankar S., Said Broumi
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Neutrosophic Sets and Systems, 2023 The purpose of this article is to study the neutrosophic limits, where the methods of neutrosophic factorization and neutrosophic rationalization were applied, useful theorems have been proven for facilitating the calculation of the neutrosophic limits ...
Yaser Ahmad Alhasan, Iqbal Ahmed Musa
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