A Neutrosophic Approach to Digital Images
A Neutrosophic Approach to Digital Images

Author: Mouhammad Bakro

Publisher: Infinite Study

Published: 2020-10-01

Total Pages: 12

ISBN-13:

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This research paper presents a neutrosophic mathematical representation of the elements of the digital image by dividing the points of the digital picture matrix into neutrosophic sets (PNS - Picture Neutrosophic Set), and studying the degree of connection between the points of the digital image for us to reach to the connected neutrosophic sets. We have also introduced many mathematical theories and results to calculate the difference and dissimilarity between the neutrosophic sets, which contributes practically in the comparison between digital images and their different uses. Our results help mainly to upgrade and create new neutrosophic algorithms for searching inside images and videos databases.

Neutrosophic Sets and Systems, Vol. 36, 2020
Neutrosophic Sets and Systems, Vol. 36, 2020

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 410

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.

Neutrosophic Set in Medical Image Analysis
Neutrosophic Set in Medical Image Analysis

Author: Yanhui Guo

Publisher: Academic Press

Published: 2019-08-08

Total Pages: 372

ISBN-13: 0128181494

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Neutrosophic Set in Medical Image Analysis gives an understanding of the concepts of NS, along with knowledge on how to gather, interpret, analyze and handle medical images using NS methods. It presents the latest cutting-edge research that gives insight into neutrosophic set's novel techniques, strategies and challenges, showing how it can be used in biomedical diagnoses systems. The neutrosophic set (NS), which is a generalization of fuzzy set, offers the prospect of overcoming the restrictions of fuzzy-based approaches to medical image analysis. - Introduces the mathematical model and concepts of neutrosophic theory and methods - Highlights the different techniques of neutrosophic theory, focusing on applying the neutrosophic set in image analysis to support computer- aided diagnosis (CAD) systems, including approaches from soft computing and machine learning - Shows how NS techniques can be applied to medical image denoising, segmentation and classification - Provides challenges and future directions in neutrosophic set based medical image analysis

Neutrosophic Sets and Systems, vol. 50/2022
Neutrosophic Sets and Systems, vol. 50/2022

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2022-06-01

Total Pages: 674

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020
Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2020-10-01

Total Pages: 410

ISBN-13:

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Neutrosophic Sets and Systems (NSS) is an academic journal, published quarterly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.

Neutrosophic Sets and Systems, Vol. 28, 2019
Neutrosophic Sets and Systems, Vol. 28, 2019

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 304

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles from this issue: Reduction of indeterminacy of gray-scale image in bipolar neutrosophic domain, Single Valued Neutrosophic Coloring, An Integrated Neutrosophic and MOORA for Selecting Machine Tool, Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique, Pi-Distance of Rough Neutrosophic Sets for Medical Diagnosis, Machine learning in Neutrosophic Environment: A Survey.

Applications of Neutrosophic Sets in Medical Image Denoising and Segmentation
Applications of Neutrosophic Sets in Medical Image Denoising and Segmentation

Author: DEEPIKA KOUNDAL

Publisher: Infinite Study

Published:

Total Pages: 19

ISBN-13:

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In medical science, diagnosis and prognosis is one of the most difficult and challenging task because of restricted subjectivity of the experts and presence of fuzziness in medical images. In observing the severity of several diseases, different professional experts may result in wrong diagnosis. In order to perform diagnosis intuitively in the medical images, different image processing methods have been explored in terms of neutrosophic theory to interpret the inherent uncertainty, ambiguity and vagueness. This paper demonstrates the use of neutrosophic theory in medical image denoising and segmentation where the performance is observed to be much better.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018
Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2018

Total Pages: 168

ISBN-13: 1599735814

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

The Encyclopedia of Neutrosophic Researchers, 1st volume
The Encyclopedia of Neutrosophic Researchers, 1st volume

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2016-11-12

Total Pages: 232

ISBN-13: 1599734680

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This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.