Summary: Difference posets of fuzzy subsets are studied. It is shown that the difference \(\Theta\) of fuzzy subsets is generated by a normed generator \(g\). Consequently the classes of full fuzzy \(g\)-difference posets and of semisimple MV-algebras coincide up to an isomorphism. Finally, states, observables and their expected values on fuzzy difference posets are studied.
For the entire collection see [Zbl 0943.00013].