Overview

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.

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9781668497869

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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 ].

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