Extending Fuzzy Logic

Fuzzy logic is an organized and mathematical method of handling inherently imprecise concepts and uncertain data, used e.g. in the Lord of the Rings films for large-scale animated armies to enact individually random yet overall orderly movements. Traditional fuzzy logic is inefficient with more than 6 to 10 input variables, as there is a combinatorial explosion of fuzzy rules. This is a major limitation. This project will develop theory for the design of computationally tractable algorithms on hierarchical fuzzy data structures for complex structured data, including time-varying data. The work in this project extends our previous ARC funded research on fuzzy interpolation, on hierarchical fuzzy systems, and on fuzzy signatures.