Abstract
We present some basic facts about a probability theory on IF-events. It is based on the Lukasiewicz operations and on the corresponding probability theory. We present a representation theorem originally published, as reported by Riečan (Soft Methodology and Random Information Systems, pp 243–248, [21]). We also show that the probability IF algebra can be embedded to a probability MV-algebra.
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The support of the grant VEGA 1/0621/1 is kindly announced.
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Katarína, Č., Beloslav, R. (2016). On an Intuitionistic Fuzzy Probability Theory. In: Atanassov, K., et al. Novel Developments in Uncertainty Representation and Processing. Advances in Intelligent Systems and Computing, vol 401. Springer, Cham. https://doi.org/10.1007/978-3-319-26211-6_11
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DOI: https://doi.org/10.1007/978-3-319-26211-6_11
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