In the evolving environment of academic research, scholars face a persistent challenge – navigating the complexities of indeterminacy in data. Traditional approaches often fall short when confronted with the imprecision, uncertainty, and conflicting information inherent in real-world scenarios. As the demand for precise modeling and analysis grows across disciplines such as engineering, social science, philosophy, and economics, there arises a critical need for innovative tools that can seamlessly address the nuances of indeterminate data.

Plithogenics and New Types of Soft Sets is a transformative book that offers a compelling solution to the indeterminacy puzzle by introducing a comprehensive framework that transcends the limitations of conventional methods. Anchored by the Plithogenic Set—a revolutionary concept characterizing sets with diverse attributes and values—the book unveils a paradigm shift in understanding, providing scholars with a powerful toolset to navigate the intricacies of indeterminate information.

The IndetermSoft Set, a key focus of the book, emerges as a groundbreaking extension of the classical Soft Set; this set deals specifically with the uncertainties encountered in our imperfect world. Plithogenics and New Types of Soft Sets deftly guide readers through the intricacies of indeterminate data, presenting a detailed exploration of the IndetermSoft Algebra—a novel algebraic framework that incorporates both determinate and indeterminate operators. This innovative approach equips scholars with the precision needed to tackle real-life problems where conventional models fall short.

Plithogenics and New Types of Soft Sets are poised to revolutionize the way scholars engage with indeterminate data. Whether delving into paradoxism, neutrosophy, or plithogeny, the book offers a rich tapestry of knowledge that seamlessly integrates with practical applications in engineering, social science, philosophy, and economics. The book invites readers to embark on an intellectual journey, where the fusion of theory and application opens new horizons in addressing the challenges of indeterminacy.

Coverage:

The many academic areas covered in this publication include, but are not limited to:

HyperSoft Set
IndetermHyperSoft Set
IndetermSoft Set
Neutrosophic Logic
Neutrosophic Probability
Neutrosophic Set
Paradoxism
Plithogenic Logic
Plithogenic Probability
Plithogenic Set
Plithogenic Statistics
Plithogeny
Soft Set
TreeSoft Set

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Editor/Author Biographies

Florentin Smarandache PhD, PostDocs, is an Emeritus Professor of Mathematics at the University of New Mexico, United States. He got his MSc in Mathematics and Computer Science from the University of Craiova, Romania, PhD in Mathematics from the State University of Kishinev, and Postdoctoral in Applied Mathematics from Okayama University of Sciences, Japan, and The Guangdong University of Technology, Guangzhou, China. He is the founder of neutrosophy (generalization of dialectics), neutrosophic set, logic, probability and statistics since 1995 and has published hundreds of papers and books on neutrosophic physics, superluminal and instantaneous physics, unmatter, quantum paradoxes, absolute theory of relativity, redshift and blueshift due to the medium gradient and refraction index besides the Doppler effect, paradoxism, outerart, neutrosophy as a new branch of philosophy, Law of Included Multiple-Middle, multispace and multistructure, HyperSoft set, TreeSoft Set, IndetermSoft Set and IndetermHyperSoft Set, SuperHyperGraph, SuperHyperTopology, SuperHyperAlgebra, SuperHyperFunction, Neutrosophic SuperHyperAlgebra, degree of dependence and independence between neutrosophic components, refined neutrosophic set, neutrosophic over-under-off-set, plithogenic set / logic / probability / statistics, symbolic plithogenic algebraic structures, neutrosophic triplet and duplet structures, quadruple neutrosophic structures, extension of algebraic structures to NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, NeutroTopology and AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, Dezert-Smarandache Theory and so on to many peer-reviewed international journals and many books and he presented papers and plenary lectures to many international conferences around the world. In addition, he published many books of poetry, dramas, children stories, translations, essays, a novel, folklore collections, traveling memories, and art albums: [ http://fs.unm.edu/FlorentinSmarandache.htm ].

Dr. Maikel Y. Leyva Vázquez, PhD, has a notable career spanning several universities in Cuba and Ecuador. He has held positions such as the General Director of the Babahoyo Campus at Universidad Regional Autónoma de los Andes (UNIANDES) and Vice Dean of Research at Universidad de las Ciencias Informáticas. His academic qualifications include a Bachelor's degree in Informatics Engineering from Universidad Tecnológica de La Habana "José Antonio Echeverría," Cujae, an MSc in Bioinformatics from El Instituto Superior de Tecnologías y Ciencias Aplicadas (InSTeC), and a PhD in Technical Sciences from Universidad de las Ciencias Informáticas. Additionally, as a member of the Grupo de Investigación en Inteligencia Artificial y Reconocimiento Facial at Universidad Politécnica Salesiana, Dr. Leyva Vázquez contributed to artificial intelligence. He is deeply involved in the scientific community, presenting at international forums, publishing research, and mentoring PhD students.He/She serves as the president of the Latin American Association of Neutrosophic Sciences and as editor of several academic journals, significantly contributing to intellectual exchange in the academic realm.

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