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cs.AI2026

Fuzzy, Neutrosophic, and Uncertain Graph Theory: Properties and Applications

Takaaki Fujita, Florentin Smarandache

This book presents a comprehensive and systematic survey of graph theory under uncertainty, with particular emphasis on the unifying role of the uncertain graph framework. It revie…

cs.AI2026

Handbook of Rough Set Extensions and Uncertainty Models

Takaaki Fujita, Florentin Smarandache

Rough set theory models uncertainty by approximating target concepts through lower and upper sets induced by indiscernibility, or more generally, by granulation relations in data t…

cs.AI2026

Survey of Various Fuzzy and Uncertain Decision-Making Methods

Takaaki Fujita, Florentin Smarandache

Decision-making in real applications is often affected by vagueness, incomplete information, heterogeneous data, and conflicting expert opinions. This survey reviews uncertainty-aw…

cs.AI2026

A Dynamic Survey of Fuzzy, Intuitionistic Fuzzy, Neutrosophic, Plithogenic, and Extensional Sets

Takaaki Fujita, Florentin Smarandache

Real-world phenomena often exhibit vagueness, partial truth, and incomplete information. To model such uncertainty in a mathematically rigorous way, many generalized set-theoretic…

cs.AI2026

A Dynamic Survey of Soft Set Theory and Its Extensions

Takaaki Fujita, Florentin Smarandache

Soft set theory provides a direct framework for parameterized decision modeling by assigning to each attribute (parameter) a subset of a given universe, thereby representing uncert…