Plithogenics and New Types of Soft Sets
Smarandache
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.
- Format: Hardback
- ISBN: 9781668497869
- Publication Date: Apr 2024
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Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods for making decisions. However, only a small number of research findings discuss how neutrosophic sets theory and their extensions (NSTEs) are used in education. The Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education implements fresh scientific approaches to enhance the quality of decisions under neutrosophic environments, particularly within education. Covering key topics such as data modeling, educational technologies, decision making, and learning management systems, this major reference work is ideal for instructional designers, researchers, academicians, scholars, practitioners, instructors, and students.
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