On an Intuitionistic Fuzzy Probability Theory

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 Riecan (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.