系统梳理模糊、直觉模糊、中立等不确定性集合理论，揭示共性与应用前景。
A Dynamic Survey of Fuzzy, Intuitionistic Fuzzy, Neutrosophic, Plithogenic, and Extensional Sets
- 整合模糊、直觉模糊、中立、普利托诺等集合理论框架
- 提炼四类模型的共性结构与核心思想
- 适合需处理不确定信息的研究者参考
现实世界现象常具有模糊性、部分真实性与信息不完整特性。为以数学严谨方式建模此类不确定性，已提出多种广义集合理论框架，包括模糊集、直觉模糊集、中立集、模糊集、犹豫模糊集、图片模糊集、四分法中立集、五分法中立集、普利托诺集、超模糊集与超中立集等。这些框架在模糊、直觉模糊、中立及普利托诺集理论中催生了大量概念与研究。本文全面综述模糊、直觉模糊、中立与普利托诺集理论，系统梳理已有成果，通过统一表述激发新洞察，推动理论扩展与跨学科应用。
原文摘要 · Abstract (English)
Real-world phenomena often exhibit vagueness, partial truth, and incomplete information. To model such uncertainty in a mathematically rigorous way, many generalized set-theoretic frameworks have been introduced, including Fuzzy Sets [1], Intuitionistic Fuzzy Sets [2], Neutrosophic Sets [3,4], Vague Sets [5], Hesitant Fuzzy Sets [6], Picture Fuzzy Sets [7], Quadripartitioned Neutrosophic Sets [8], Penta-Partitioned Neutrosophic Sets [9], Plithogenic Sets [10], HyperFuzzy Sets [11], and HyperNeutrosophic Sets [12]. Within these frameworks, a wide range of notions has been proposed and studied, particularly in the settings of fuzzy, intuitionistic fuzzy, neutrosophic, and plithogenic set theories. This extensive literature underscores both the significance of these theories and the breadth of their application areas. As a result, many ideas, constructions, and structural patterns recur across these four major families of uncertainty-oriented models. In this book, we provide a comprehensive, large-scale survey of Fuzzy, Intuitionistic Fuzzy, Neutrosophic, and Plithogenic Sets. Our goal is to give readers a systematic overview of existing developments and, through a unified exposition, to stimulate new insights, further conceptual extensions, and additional applications across a wide range of disciplines.
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