Probability theory
The random set and the cutting of random fuzzy sets
Fuzzy Sets and Systems
A random sets-based method for identifying fuzzy models
Fuzzy Sets and Systems
Fuzzy Modeling for Control
Mathematics of Data Fusion
Foundations of Fuzzy Systems
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The relevance, applicability and importance of fuzzy sets is generally linked to successful applications in the domain of engineering, especially when subjective notions are modelled and matched with data. For problems in which uncertainty has been modelled using probability theory in the past, discussions on what approach is right, frequently conclude that both should complement each other. In the present text, we consider such synergy of fuzzy sets, probability and possibility distributions provided by the concept of a random-set. Following a brief review of basic mathematical and semantic aspects of random-set theory, we introduce an application of the theory to time series analysis.