Abstract We extend to D-lattices the definition of Kalmbach measurable elements with respect an outer measure $$\mu $$ ? . prove, in case is faithful, that are central, thus generalizing a result known for orthomodular lattices.

Min-independence has been proved to be a sufficient condition of a vector of fuzzy random variables to be a fuzzy random vector. The objective of this paper is to study further on the independence condition for fuzzy random vector based on continuous triangular norms. We first discuss measurability criteria for fuzzy random vector, and present two more new equivalent formulations of the measura...