A New Class of Probabilities on Lukasiewicz-Moisil Algebras
George Georgescu and Andrei Popescu
This paper is concerned with the algebraic foundations of many-valued probability theory. We introduce and study a new notion of probability (state) on Lukasiewicz-Moisil algebras. This notion is parameterized by the considered logical implication (residuum) in Lukasiewicz-Moisil logic, knowing that there are several natural choices for the residuum.