Classical Logic as a subclass of Neutrosophic Logic

Angelo de; Marina Nogueira Carvalho de

doi:https://doi.org/10.54216/IJNS.060104

International Journal of Neutrosophic Science |

Multi Criteria Decision Making Algorithm Via Complex Neutrosophic Nano Topological Spaces

The scope of this paper is to instigate the contemporary notion of complex neutrosophic nano topological spaces and explore some of its properties. We also illustrate the properties with numerical quantities. Furthermore, an algorithm for multi-criteria decision-making (MCDM) in medical diagnosis under uncertainty by using complex neutrosophic nano topological spaces are developed (CNNTSs). A comparison table is presented to show the difference between novel concept and the existing methods.

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ManiParimala mail -

MKarthika mail -

SMurali mail -

Florentin Smarandache mail -

Muhammad Riaz mail -

Saeid Jafari mail

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International Journal of Neutrosophic Science |

Multi Criteria Decision Making Algorithm Via Complex Neutrosophic Nano Topological Spaces

The scope of this paper is to instigate the contemporary notion of complex neutrosophic nano topological spaces and explore some of its properties. We also illustrate the properties with numerical quantities. Furthermore, an algorithm for multi-criteria decision-making (MCDM) in medical diagnosis under uncertainty by using complex neutrosophic nano topological spaces are developed (CNNTSs). A comparison table is presented to show the difference between novel concept and the existing methods.

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ManiParimala mail -

MKarthika mail -

SMurali mail -

Florentin Smarandache mail -

Muhammad Riaz mail -

Saeid Jafari mail

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International Journal of Neutrosophic Science | 2020

Neutrosophic Event-Based Queueing Model

In this paper we have defined the concept of neutrosophic queueing systems and defined its neutrosophic performance measures. An important application of neutrosophic logic in queueing systems we face in real life were discussed, that is the neutrosophic events accuring times, because of its wide applications in networking and simulating communication systems specialy when probability distribution is not known, and because it’s more realistic to consider and to not ignore the imprecise events times. Event-based table of a neutrosophic queueing system was presented and its neutrosophic performance measures were derived, i.e. neutrosophic mean waiting time in queue, neutrosophic mean waiting time in system, neutrosophic expected number of customers in queue and neutrosophic expected number of customers in system. Neutrosophic Little’s Formulas (NLF) were also defined which is a main tool in queueing systems problems to make it easier finding performance measures from each other.

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Mohamed Bisher Zeina mail

link https://doi.org/10.54216/IJNS.060103

Volume & Issue

Vol. Volume 6 / Iss. Issue 1

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International Journal of Neutrosophic Science | 2020

Plithogenic Subjective Hyper-Super-Soft Matrices with New Definitions & Local, Global, Universal Subjective Ranking Model

In this paper, we initially introduce a novel type of matrix representation of Plithogenic Crisp/Fuzzy/Intuitionistic/Neutrosophic Hypersoft Set named as Plithogenic Crisp/Fuzzy/Intuitionistic/Neutrosophic Hypersoft Matrix, which is generated by multiple parallel sheets of matrices. Furthermore, these parallel sheets are representing parallel universes or parallel realities (a combination of attributes and sub-attributes w.r.t. subjects). We represent cross-sectional cuts of these hyper-soft matrices as parallel sheets (images of the expanded universe). Later, we utilize these Hypersoft matrices to formulate Plithogenic Subjective Crisp/Fuzzy/Intuitionistic/Neutrosophic Hyper-Super-Soft Matrix. These matrices are framed by the generalization of Whole Hyper-Soft Set to Subjective Whole Hyper-Soft Set and then their representation in such hyper-super-soft-matrix (parallel sheets of matrices) whose elements are matrices. The Hypersoft matrices and hyper-super-soft matrices are tensors of rank three and four, respectively, having three and four indices of variations. Later we provide an application of these Plithogenic Hyper super soft matrices in the form of Local, Global, Universal Subjective Ranking Model. The specialty of this model is that it offers precise classification of the universe from micro-universe to macro-universe levels by observing them through several angles of visions in many environments having several ambiguities and hesitation levels. This model provides optimal and neutral values of universes and can compact the expanded universe to a single point in such a way that the compacted universe reflects the cumulative effect of the whole universe. It further offers a transparent ranking by giving a percentage authenticity measure of the ranking. Finally, we provide an application of the model as a numerical example.

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Shazia Rana mail -

Muhammad Saeed mail -

Midha Qayyum mail -

Florentin Smarandache mail

link https://doi.org/10.54216/IJNS.060205

Volume & Issue

Vol. Volume 6 / Iss. Issue 2

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International Journal of Neutrosophic Science | 2020

Volume 6 Table of Contents

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INJS mail

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Vol. Volume 6 / Iss. Volume 6 Table of Contents

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International Journal of Neutrosophic Science | 2020

Refined Neutrosophic Topological space

In this paper, we introduce refined neutrosophic topological space which is a more general than neutrosophic topological space. This new refined neutrosophic space make us enable to increate a new kind of neutrosophic sets and neutrosophic concepts. We prove that refined neutrosophic topological space is not neutrosophic topological space. Many examples and theories are presented.

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International Journal of Neutrosophic Science | 2020

On Refined Neutrosophic Quotient Groups

This paper is devoted to the study of refined neutrosophic quotient groups. It is shown that the classical isomorphism theorems of groups do not hold for the refined neutrosophic groups. Moreover, the existence of classical morphisms between refined neutrosophic groups G(I1, I2) and neutrosophic groups G(I) is established.

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A.A.A. Agboola mail

link https://doi.org/10.54216/IJNS.050203

Volume & Issue

Vol. Volume 5 / Iss. Issue 2

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International Journal of Neutrosophic Science | 2020

n- Refined Neutrosophic Rings

The aim of this paper is to introduce the concept of n-refined neutrosophic ring as a generalization of refined neutrosophic ring. Also, wepresent concept of n-refined polynomial ring. We study some basic concepts related to these rings such as AH-subrings, AH-ideals, AH-factors, and AH-homomorphisms.

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Florentin Smarandache mail -

Mohammad Abobala mail

link https://doi.org/10.54216/IJNS.050204

Volume & Issue

Vol. Volume 5 / Iss. Issue 2

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International Journal of Neutrosophic Science | 2020

Application of the neutrosophic system to tax havens with a criminal approach

The investigation questions transparency (legitimacy) on the one hand and tax evasion (illegality) at tax haven on the other, so this paper the highlights importance of tax havens, either to the detriment of economies suffering from significant capital flight or to the benefit of jurisdictions declared as paradises, whose economy had been favored by the inflow of capital and investment Foreign. Tax havens are mechanisms of defense of wealthy taxpayers who seek to escape with their wealth from state taxes with progressive tax systems for the financing of social protection, education, and security of their population. Much of the study had to be based on the analysis of the information collected to clarify its importance with the support of neutrosophic numbers for the determination of fuzzy sets for a better understanding of the phenomenon under study inserted in tax havens. Besides, the heuristic evaluation methodology was used, as a form of financial investment with neutrosophic representation, since it allowed the search for qualitative results that helped to emphasize investment problems in those States, territories or jurisdictions that do not have taxation, profits, or apply it at very low rates, with serious limitations in the exchange of information (bank secrecy) and a marked absence of transparency. As the main conclusion, it was argued that governments should continue their transparency campaigns to prevent the continued use of money of public origin as a consequence of illegal acts, without affecting the sovereignty of each country.

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Luis Andrés Crespo Berti mail

link https://doi.org/10.54216/IJNS.050205

Volume & Issue

Vol. Volume 5 / Iss. Issue 2

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International Journal of Neutrosophic Science | 2020