This paper discusses the application of category theory as a unifying concept for formally developed information fusion systems. Category theory is a mathematically sound technique used to capture the commonalties and relationships between objects. This feature makes category theory a very elegant language for describing information fusion systems and the information fusion process itself. Afte...

Powerset structures of extensional fuzzy sets in sets with similarity relations are investigated. It is proved that extensional fuzzy sets have powerset structures which are powerset theories in the category of sets with similarity relations, and some of these powerset theories are defined also by algebraic theories (monads). Between Zadeh's fuzzy powerset theory and the classical powerset theo...