A generalization of probability theory on MV-algebras to IF-events (Q983044)

Usually, probability theory on IF-events based on Lukasiewicz connectives can be incorporated into an MV-algebra probability space and the well developed MV-algebra probability theory can be applied directly. In this paper, the author introduce more general connectives which cannot be embedded into a MV-algebra setting. Using some embedding theorems from a paper by Cunderlikova-Lendelova and Riecan (The probability theory on B-structures), the author proves a probability representation theorem, a central limit theorem and a law of large numbers.