A Comprehensive Survey of Set-Theoretic Concepts Related to Fuzzy, Neutrosophic, and Uncertain Sets

This book provides a comprehensive and systematic survey of modern set-theoretic frameworks developed to model uncertainty, vagueness, indeterminacy, and partial truth in real-world phenomena. It synthesizes a wide spectrum of classical and advanced theories, including fuzzy sets, intuitionistic fuzzy sets, neutrosophic sets, plithogenic sets, and numerous related extensions. The work organizes these concepts across multiple structural and conceptual dimensions—such as interval, granular, probabilistic, and complex extensions—highlighting their mathematical foundations, interrelations, and distinguishing characteristics. By unifying diverse approaches under a coherent analytical perspective, the book clarifies how different uncertainty models complement or generalize one another. It also explores emerging directions in set theory, including hybrid and dynamic frameworks, offering insights into their applicability in fields such as decision-making, control systems, artificial intelligence, and data analysis. Serving both as a reference and a conceptual guide, the book contributes to advancing the theoretical understanding and practical deployment of uncertainty-oriented mathematical models.