Abstract

New approaches in modeling the so-called extremal fuzzy dynamic systems (EFDSs) are developed. Applying the results of Parts I and II, fuzzy processes with possibilistic uncertainty, the source of which is extremal fuzzy time intervals, are constructed. Fuzzy-integral representations of controllable extremal fuzzy processes (CEFPs) are given. The dynamics of EFDSs is described. Questions as to the ergodicity of EFDSs are considered, using the properties of both extended composition extremal fuzzy measures and -compositions over them (Part II). Sufficient conditions are proved for stationary CEFPs to be ergodic.

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