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Entropy Neutro Entropy And Anti Entropy For Neutrosophic Information


Entropy Neutro Entropy And Anti Entropy For Neutrosophic Information
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Entropy Neutro Entropy And Anti Entropy For Neutrosophic Information


Entropy Neutro Entropy And Anti Entropy For Neutrosophic Information
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Author : Vasile Patrascu
language : en
Publisher: Infinite Study
Release Date :

Entropy Neutro Entropy And Anti Entropy For Neutrosophic Information written by Vasile Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


This article shows a deca-valued representation of neutrosophic information. For this representation the following neutrosophic features were defined and used: truth, falsity, weak truth, weak falsity, ignorance, contradiction, saturation, neutrality, ambiguity and hesitation. In the context created by these ten features emerged the possibility but also the necessity of defining three neutrosophic concepts: entropy, neutro-entropy and anti-entropy. Possibility appeared due to the refining of neutrosophic representation. The necessity appeared because all of these features cannot be classified by taking into account only certainty (entropy) and uncertainty (anti-entropy). There is a requirement for a third concept (neutro-entropy) that refers to neutrality.



New Trends In Neutrosophic Theory And Applications Volume Ii


New Trends In Neutrosophic Theory And Applications Volume Ii
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
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New Trends In Neutrosophic Theory And Applications Volume Ii written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc.



A New Edge Detection Approach Via Neutrosophy Based On Maximum Norm Entropy


A New Edge Detection Approach Via Neutrosophy Based On Maximum Norm Entropy
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Author : Eser SERT
language : en
Publisher: Infinite Study
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A New Edge Detection Approach Via Neutrosophy Based On Maximum Norm Entropy written by Eser SERT and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In this study, a new edge detection method based on Neutrosophic Set (NS) struc- ture via using maximum norm entropy (EDA-MNE) is proposed.



The Consistency Between Cross Entropy And Distance Measures In Fuzzy Sets


The Consistency Between Cross Entropy And Distance Measures In Fuzzy Sets
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Author : Yameng Wang
language : en
Publisher: Infinite Study
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The Consistency Between Cross Entropy And Distance Measures In Fuzzy Sets written by Yameng Wang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


The processing of uncertain information is increasingly becoming a hot topic in the artificial intelligence field, and the information measures of uncertainty information processing are also becoming of importance. In the process of decision-making, decision-makers make decisions mostly according to information measures such as similarity, distance, entropy, and cross-entropy in order to choose the best one. However, we found that many researchers apply cross-entropy to multi-attribute decision-making according to the minimum principle, which is in accordance with the principle of distance measures.



Neutrosophic Sets And Systems Vol Vi


Neutrosophic Sets And Systems Vol Vi
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
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Neutrosophic Sets And Systems Vol Vi written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


This volume is a collection of ten papers and a review of a book, written by different authors and co-authors (listed in the order of the papers): F. Yuhua, P. K. Maji, A. A. Salama, H. Elghawalby, A. Mukherjee, M. Datta, F. Smarandache,K. Mondal, S. Pramanik, M. Ali, L. Vladareanu, M. Shabir, S. Broumi, S. Ye, J. Ye, S. Sarkar, D. Gifu and M. Teodorescu. In first paper, the author proposed Pauli Exclusion Principle and the Law of Included Multiple-Middle. Weighted Neutrosophic Soft Sets are proposed in the second paper. Neutrosophic Crisp Sets and Neutrosophic Crisp Relations are studied in third paper. In fourth paper, Interval Valued Neutrosophic Soft Topological Spaces are introduced. Similarly in fifth paper, Multi-criteria Group Decision Making Approach for Teacher Recruitment in Higher Education Under Simplified Neutrosophic Environment is discussed. In paper six, Generalization of Soft Neutrosophic Rings and Soft Neutrosophic Fields are presented by the authors. Neutrosophic Refined Similarity Measure Based on Cosine Function is given in seventh paper. Paper eight is about to study Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medial Diagnosis. In the next paper Several Similarity Measures of Interval Valued Neutrosophic Soft Sets and Their Application in Pattern Recognition Problems are discussed. The authors introduced Soft Neutrosophic Groupoids and Their Generalization in the tenth paper. At the end a book review, Neutosophic routes in multiverse of communication is presented by the authors.



Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets


Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets
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Author : Florentin Smarandache
language : en
Publisher: MDPI
Release Date : 2019-04-04

Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets written by Florentin Smarandache and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-04 with Mathematics categories.


Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.



Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets Volume I


Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets Volume I
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :

Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets Volume I written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.



Left Right Quasi Neutrosophic Triplet Loops Groups And Generalized Be Algebras


Left Right Quasi Neutrosophic Triplet Loops Groups And Generalized Be Algebras
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Author : Xiaohong Zhang
language : en
Publisher: Infinite Study
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Left Right Quasi Neutrosophic Triplet Loops Groups And Generalized Be Algebras written by Xiaohong Zhang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


The new notion of a neutrosophic triplet group (NTG) is proposed by Florentin Smarandache; it is a new algebraic structure different from the classical group.



Neutrosophic Sets And Systems Vol 71 2024 Special Issue Proceedings Of The International Conference Neutrogeometry Neutroalgebra And Their Applications Havana Cuba 12 14 August 2024


Neutrosophic Sets And Systems Vol 71 2024 Special Issue Proceedings Of The International Conference Neutrogeometry Neutroalgebra And Their Applications Havana Cuba 12 14 August 2024
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2024-09-01

Neutrosophic Sets And Systems Vol 71 2024 Special Issue Proceedings Of The International Conference Neutrogeometry Neutroalgebra And Their Applications Havana Cuba 12 14 August 2024 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-01 with Mathematics categories.


A special issue of the International Journal in Information Science and Engineering “Neutrosophic Sets and Systems” (vol. 71/2024) is dedicated to the Conference on NeutroGeometry, NeutroAlgebra, and Their Applications, organized by the Latin American Association of Neutrosophic Sciences. This event, which took place on August 12-14, 2024, in Havana, Cuba, was made possible by the valuable collaboration of the University of Havana, the University of Physical Culture and Sports Sciences "Manuel Fajardo," the José Antonio Echeverría University of Technology, University of Informatics Sciences and the Cuban Academy of Sciences among other institutions. In 2019 Smarandache generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false} and on 2020 he continued to develop them. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all operations are 100% well-defined, and all axioms are 100% true, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some operations or some laws. Similarly, a classical Geometry structure has all axioms totally (100%) true. A NeutroGeometry structure has some axioms that are only partially true, and no axiom is totally (100%) false. Whereas an AntiGeometry structure has at least one axiom that is totally (100%) false. And in general, in any field of knowledge one has: Structure, NeutroStructure, and AntiStructure which were inspired from our real world where the laws (axioms) do not equally apply to all people and in the same degree. This special issue aims to highlight the most recent advances and applications in the fields of NeutroGeometry and NeutroAlgebra, two areas that are at the forefront of contemporary mathematical and scientific thought. During the conference, the mathematical foundations and practical applications of these disciplines were explored, as well as their relevance in the MultiAlism system and other interdisciplinary areas. The content of this special issue has been carefully selected to reflect the diversity and depth of the topics discussed at the conference. This event and the subsequent publication of these works underline the growing importance of neutrosophic theories in the current scientific landscape. We are confident that the ideas and discoveries shared in these pages will be of great value to researchers, academics, and professionals interested in these innovative areas of knowledge.



Optimization Theory Based On Neutrosophic And Plithogenic Sets


Optimization Theory Based On Neutrosophic And Plithogenic Sets
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Author : Florentin Smarandache
language : en
Publisher: Academic Press
Release Date : 2020-01-14

Optimization Theory Based On Neutrosophic And Plithogenic Sets written by Florentin Smarandache and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-14 with Mathematics categories.


Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic. - All essential topics about neutrosophic optimization and Plithogenic sets make this volume the only single source of comprehensive information - New and innovative theories help researchers solve problems under diverse optimization environments - Varied applications address practitioner fields such as computational intelligence, image processing, medical diagnosis, fault diagnosis, and optimization design