A construction of an L-fuzzy valued measure of L-fuzzy sets

摘要

We develope a construction of an L-fuzzy valued measure by extending a measure defined on a σ-algebra of crisp sets to an L-fuzzy valued T_M-countably additive measure defined on a T_M-clan of L-fuzzy sets in the case when operations for L-fuzzy sets and L-fuzzy real numbers are based on the minimum t-norm T_M.