Abstract
The paper has two aims. First, a review of various definitions of probabilities on Atanassov IF-sets, and corresponding representation theorems. Secondly, a new representation theorem is proved for so-called ϕ-probabilities including a large variety of special cases.
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Ciungu, L., Riečan, B. (2009). General Form of Probabilities on IF-Sets. 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_13
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DOI: https://doi.org/10.1007/978-3-642-02282-1_13
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