The paper contains a review of some results concerning probability theory on MV algebras (laws of large numbers, central limit theorem, martingale convergence theorem). Also some algebraic andâ€¦ (More)

In the paper we define three kinds of entropy of a fuzzy dynamical system using different entropies of fuzzy partitions. It is shown that different definitions of the entropy of fuzzy partitions leadâ€¦ (More)

A probability theory on IFS-events has been constructed in [3], and axiomatically characterized in [4]. Here using a general system of axioms it is shown that any probability on IFS-events can beâ€¦ (More)

There is given a construction of the entropy of a dynamical sy stem on arbitrary MV-algebraM. If M is the MV-algebra of characteristic functions of a Ïƒ-algebra (isomorphic to theÏƒ-algebra), then theâ€¦ (More)

The Choquet integral is defined for a real function with respect to a fuzzy measure taking values in a complete Riesz space. As applications there are presented: constructions of belief andâ€¦ (More)