Random Fuzzy Sets as Ill-Perceived Random Variables

摘要: The concept of fuzzy random variable, that extends the classical definition was introduced by Feron [37] in 1976. Later on, several authors, and especially Kwakernaak [54], Puri Ralescu [62], Kruse Meyer [53], Diamond Kloeden [26], proposed other variants. More recently Kratschmer [51] surveyed all these definitions a unified formal approach. In papers, variable is defined as function assigns subset to each possible output experiment. Just like particular case sets considered Chap. 1, different literature disagree on measurability conditions imposed this mapping, properties space, but them intend model situations combine fuzziness randomness.