A Dynamic Survey of Fuzzy, Intuitionistic Fuzzy, Neutrosophic, Plithogenic, and Extensional Sets
#fuzzy sets #intuitionistic fuzzy #neutrosophic sets #plithogenic sets #extensional sets #survey #uncertainty #mathematical modeling
📌 Key Takeaways
- The article presents a dynamic survey of advanced mathematical set theories beyond classical fuzzy sets.
- It covers intuitionistic fuzzy sets, neutrosophic sets, plithogenic sets, and extensional sets, highlighting their unique properties.
- The survey emphasizes the dynamic nature of these theories, reflecting ongoing developments and applications in uncertainty modeling.
- These sets are used to handle complex real-world problems involving imprecision, inconsistency, and indeterminacy in data.
📖 Full Retelling
arXiv:2603.15667v1 Announce Type: new
Abstract: 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], Plithogen
🏷️ Themes
Mathematical Sets, Uncertainty Modeling
Entity Intersection Graph
No entity connections available yet for this article.
Original Source
arXiv:2603.15667v1 Announce Type: new
Abstract: 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], Plithogen
Read full article at source