G/sub /spl lambda//-independent fuzzy events in fuzzy systems

The concept of g/sub /spl lambda//-measures on an F-/spl sigma/-algebra is introduced and some of its properties are discussed. The extension of Kolomogrov´s and Borel´s Zero-One Law for fuzzy events are established. Some results which are basically of a set theoretic nature are presented. The article discusses the problem on the extension of g/sub /spl lambda//-measures from the classical /spl sigma/ algebra to F-/spl sigma/-algebra. It presents the basis elementary results on g/sub /spl lambda//-independent fuzzy events. Finally, analogues of some of the important Zero One laws of probability theory for g/sub /spl lambda//-measures and fuzzy events are established.