Conditioning on MV-algebras and additive measures .1.
We present a lattice-ordered semigroup approach for the foundation of conditional events which covers the special situations where the underlying (unconditional) events are Boolean or fuzzy, respectively. Our proposal is quite different from other, ring theoretical, approaches. The problem of extending additivity of uncertainty measures from unconditional to conditional events will be discussed. (C) 1997 Elsevier Science B.V.
mv-algebras additive measures conditional events uncertainty measures lattice ordered semigroups boolean algebras connectives fuzzy sets