A fuzzy probabilistic information system comparison criterion: Applications and properties

Abstract

A phi-fuzzy probabilistic information system comparison criterion is defined. It is based on a nonnegative concave function considered over a fuzzy state space. Based on phi-fuzzy probabilistic information system comparison criterion, many interesting properties are studied. Connections with the classical criteria of Lehmann and Blackwell are made. The function phi admits many interesting information theoretical particular cases. These particular cases are divided in two parts: Shannon's and NonShannon's, and are put in the last section.