Fuzzy measure of fuzzy events defined by fuzzy integrals

In this paper the authors define the concept of fuzzy measure of a fuzzy event by using a general form of fuzzy integral proposed by Murofushi, called fuzzy t-conorm integral, encompassing previous definitions. Zadeh defined probability measure of a fuzzy event, and later possibility measure of fuzzy event. Using a duality property of fuzzy t-conorm integral, the authors propose a general definition of fuzzy measure of fuzzy events, which is compatible with previous definitions of Zadeh, and posseses all properties of a fuzzy measure.