Connectives and fuzziness for classical effects (Q1304337)

This article investigates various constructs on a set of classical effects (measurable fuzzy sets or fuzzy events). The properties of a connective \(\sqcup\) and its dual connective are studied, and the importance of these operations for fuzzy probability is pointed out. The commutator is introduced which can be employed to define a degree of relative fuzziness. The expectation of the commutator provides a relative entropy whose properties are delineated.