Results 11 to 20 of about 8,617,636 (223)

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
doaj   +3 more sources

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
doaj   +4 more sources

The Neutrosophic Quaternions Numbers [PDF]

Neutrosophic Sets and Systems
This 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, Basel Hamdo Alarnous, Iqbal Ahmed Musa   +2 more
doaj   +3 more sources

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
doaj   +3 more sources

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
doaj   +3 more sources

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, Shreyashree Mondal, Said Broumi   +2 more
doaj   +3 more sources

Neutrosophic Quadruple Numbers, Refined Neutrosophic Quadruple Numbers, Absorbance Law, and the Multiplication of Neutrosophic Quadruple Numbers [PDF]

Neutrosophic Sets and Systems, 2015
In this paper, we introduce for the first time the neutrosophic quadruple numbers (of the form 𝒂 + 𝒃𝑻 + 𝒄𝑰 + 𝒅𝑭) and the refined neutrosophic quadruple numbers. Then we define an absorbance law, based on a prevalence order, both of them in order to multiply the neutrosophic components 𝑻,𝑰,𝑭 or their sub-components 𝑻𝒋,𝑰𝒌,𝑭𝒍 and thus to construct the ...
Florentin Smarandache, Smarandache, Florentin   +1 more
openaire   +3 more sources

0026 | Neutrosophic Chromatic Number

, 2022
Different edges define new form of connections amid vertices. Thus defining new notion of coloring is possible when the connections of vertices which determine new color and it’s decider whether using new color or not, have been considered if they’ve special edges. The tools to define specific edges are studied.
Henry Garrett
openaire   +2 more sources

0034 | Chromatic Number and Neutrosophic Chromatic Number

, 2021
New setting is introduced to study chromatic number. Neutrosophic chromatic number and chromatic number are proposed in this way, some results are obtained. Classes of neutrosophic graphs are used to obtains these numbers and the representatives of the colors. Using colors to assigns to the vertices of neutrosophic graphs is applied. Some questions and
Henry Garrett
openaire   +2 more sources

Zero Forcing Number in Neutrosophic Graphs

, 2022
New setting is introduced to study zero forcing number and zero forcing neutrosophic-number. Leaf-like is a key term to have these notions. Let NTG : (V,E,σ,μ) be a neutrosophic graph. Then zero forcing number Z(NTG) for a neutrosophic graph NTG : (V,E,σ,
Henry Garrett
openaire   +2 more sources