Abstract
The contribution deals with the probability theory on Intuitionistic Fuzzy Sets (IF-sets, [1]). It can be considered as a generalization of the classical probability theory on σ-algebras of sets. From the large field of operations with IF-sets we use Gödel connectives [5]. We focus on the conditional expectation: the aim is to formulate the definition of the conditional expectation of an IF-observable and prove the version of martingale convergence theorem.
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Valenčáková, V. (2009). A Note on the Conditional Expectation of IF-Observables. In: Di Gesù, V., Pal, S.K., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2009. Lecture Notes in Computer Science(), vol 5571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02282-1_11
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DOI: https://doi.org/10.1007/978-3-642-02282-1_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02281-4
Online ISBN: 978-3-642-02282-1
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