Information energy of a fuzzy event and a partition of fuzzy events

In order to define a measure of the information processed by a fuzzy event and by a partition of fuzzy events, the “information energy” provided by a fuzzy event and partition of fuzzy events is considered. This measure integrates the statistical uncertainty resulting from the occurrence of events and the uncertainty of meaning of events that is expressed by the membership function. The functional information energy is formally similar to the Onicescu's information energy, which used an analogy to kinetic energy from mechanics, although it is conceptually different.