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Neutrosophic Sets and Systems {Proceedings of the International Conference called NeutroGeometry, NeutroAlgebra, and Their Applications, Universidad de Habana, Cuban Academy of Sciences et al., Havana, Cuba, 12-14 August 2024}
Vol. 71 (2024)Preface: Proceedings of the International Conference NeutroAlgebra and NeutroGeometry with their Applications, Universidad de Habana, Cuban Academy of Sciences et al., 12-14 August 2024, Cuba
It is an honor to present this special issue of our journal, 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 ( https://fs.unm.edu/NA/ ).
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 ( https://fs.unm.edu/NG/ ).
And in general, in any field of knowledge one has: Structure, NeutroStructure, and AntiStructure ( https://fs.unm.edu/NA/NeutroStructure.pdf ), 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 following topics, among others, were covered during the conference:
- Mathematical foundations of NeutroGeometry.
- Mathematical foundations of NeutroAlgebra.
- Applications of NeutroGeometry.
- Applications of NeutroAlgebra.
- Interdisciplinary applications.
- Neutrosophic sets and their generalizations.
- MultiAlism System of Thought.
- Neutrosophic Set-Theoretic Methods of Research.
- NeutroStructure and AntiStructure.
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.
We would like to express our gratitude to all the participants of the conference, as well as to the authors who have contributed their research to this special issue. We hope that readers will find in these pages not only valuable knowledge but also inspiration for future research and applications in the field of neutrosophic sciences.
. Conference Organizers:
- Prof. Dr. Florentin Smarandache, PhD, Postdoc, Mathematics Department, University of New Mexico, Gallup, NM 87301, USA
- Maikel Leyva Vazquez, PhD Universidad de Guayaquil, Guayas, Ecuador
- Pedro Piñero Pérez, PhD, IADES, Cuba
- Jesús Estupiñán Ricardo,PhD, Instituto Superior Tecnológico de Investigación Científica e Innovación, Ecuador
- Iliana Pérez Pupo, PhD, IADES, Cuba
- Erick González Caballero, PhD, José Antonio Echeverría University of Technology
- Omar Mar Cornelio, PhD, University of Informatics Sciences, Cuba
- Salah Hasan Saleh, Qatar Embassy Havana, Cuba
- Bárbara Bron Fonseca, PhD, University of Informatics Sciences, Cuba
- Darvin Manuel Ramírez Guerra PhD, Universidad César Vallejo, Lima, Perú
- PhD, Maura de la Caridad Salabarría Roig, PhD, Center for Studies on Educational Quality and Scientific Research, Toluca, Mexico
- José Sergio Puig Espinosa PhD, Center for Studies on Educational Quality and Scientific Research, Toluca, Mexico
- Oscar José Alejo Machado, PhD, Instituto Superior Tecnológico de Investigación Científica e Innovación, Ecuador
- Karina Pérez-Teruel, PhD, Barna Management School, Santo Domingo, Dominican Republic
- Ricardo Sánchez Casanova, PhD, University of Havana, Cuba
- Ariel Romero Fernández, PhD, Universidad Regional Autónoma de los Andes, Ecuador
- Ángel Martínez Vásquez, MSc, Center for Training and Knowledge Management. Ecuador.
- Jean Pierre Ramos-Carpio, MSc, Center for Studies on Educational Quality and Scientific Research, Toluca, Mexico.
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Neutrosophic Sets and Systems {Special Issue: Neutrosophy and Plithogeny: Fundamentals and Applications}
Vol. 69 (2024)PREFACE
We are pleased to present this special issue dedicated to the Neutrosophic approaches in research, on the occasion of the international and multidisciplinary conference Neutrosophy and Plithogeny: Fundamentals and Applications (Spanish) held at the Universidad César Vallejo in Lima, Peru, on July 8 and 9. This event marks a significant milestone, as it is the first time that the Andean region and Latin America host scholars and researchers dedicated to studying various theoretical and applicative issues in the expansive and diverse field of Neutrosophic approaches.
Since its conception, Neutrosophic theory has proven to be an interdisciplinary and innovative field, notably growing with the introduction of several generalizations of Neutrosophic Sets, such as Plithogenic Sets, Hypersoft Sets, IndetermSoft Sets, SuperHyperSoft Sets, and MultiAlism. These advanced conceptualizations have further expanded the versatility and application range of Neutrosophic theory, allowing its adoption in an ever-increasing spectrum of disciplines.
The conference, with its international and multidisciplinary character, has brought together experts and scholars from various fields, providing a unique platform for the discussion and exchange of ideas on the multiple applications of Neutrosophic approaches. The topics covered in this event include, but are not limited to:
- Neutrosophic Approaches in various disciplines, including:
- Computer Science
- Biological Sciences
- Social Sciences
- Engineering
- Art
- Philosophy
- Neutrosophic Sets and their generalizations, such as:
- Plithogenic Sets
- Hypersoft Sets
- IndetermSoft Sets
- TreeSoft Sets
- MultiAlism System of Thought
This special issue also addresses how scientific production in Neutrosophy focuses on social issues specific to Latin American philosophy. In the regional context of Latin America, it is possible to state that Neutrosophic tools and knowledge are used for the identification, analysis, and resolution of social problems, offering unique approaches or distinctive contributions to the field of Neutrosophy, influenced by its cultural and philosophical context.
Neutrosophic science in Latin America shows a clear pattern of how scientific production addresses social problems, standing out for its innovative approaches that reflect the cultural and philosophical particularities of the region. This approach has allowed Neutrosophy not only to advance in theoretical terms but also to provide practical and contextually relevant solutions to social challenges.
This special issue compiles works presented at the conference, reflecting the richness and diversity of current research in this field. We hope that these articles not only contribute to the advancement of knowledge in Neutrosophic theory but also inspire new research and applications in multiple disciplines.
We thank all participants and collaborators for their valuable contributions and hope that this special issue serves as an important reference for future studies in this fascinating and constantly evolving field of research.
Conference Organizers:
- Prof. Dr. Florentin Smarandache, PhD, Postdoc, Mathematics Department, University of New Mexico, Gallup, NM 87301, USA
- Dr. Maikel Leyva Vazquez, Universidad de Guayaquil, Guayas, Ecuador
- Dr. Jesús Estupiñán Ricardo, Instituto Superior Tecnológico de Investigación Científica e Innovación, Ecuador
- Darvin Manuel Ramírez Guerra, Doctor in Physical Culture Sciences, Universidad César Vallejo, Lima, Peru
- MSc. Ernesto Despaigne Paumier, Universidad César Vallejo, Lima, Peru
- PhD, Dante Manuel Macazana Fernández, Universidad Nacional Mayor de San Marcos, Lima, Peru
- PhD, Maura de la Caridad Salabarría Roig, Center for Studies on Educational Quality and Scientific Research, Toluca, Mexico
- PhD, José Sergio Puig Espinosa, Center for Studies on Educational Quality and Scientific Research, Toluca, Mexico
- PhD, Oscar José Alejo Machado, Dean of the Systems Program at the Bolivarian Institute of Guayaquil
- PhD, Dionisio Vitalio Ponce Ruiz, Universidad Regional Autónoma de Los Andes
- PhD, Karina Pérez-Teruel, Open University for Adults (UAPA), Santiago de los Caballeros, Dominican Republic
- PhD, Ricardo Sánchez Casanova, University of Havana, Cuba
- PhD, Ariel Romero Fernández, Universidad Regional Autónoma de los Andes
- MSc. Ángel Martínez Vásquez, Latin American Association of Neutrosophic Sciences
- MSc. Jean Ramos C., Latin American Association of Neutrosophic Sciences.
- Neutrosophic Approaches in various disciplines, including:
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