In order to address the multi-layer hesitance phenomenon in multi-attribute decision-making problem，the type 2 hesitant dual fuzzy set is proposed. The score function of Type 2 Hesitant Dual Fuzzy Elements(T2HDFE) is defined，and the axiomatic definitions of its distance，correlation coefficient and entropy are discussed. A distance formula of type 2 hesitant dual fuzzy elements without data extension is constructed，and based on the distance formula，the formulae for the correlation coefficient and entropy of type 2 hesitant dual fuzzy elements are given. Then，their properties are proved. Finally，a multi-attribute decision-making method based on correlation coefficient and entropy of type 2 hesitant dual fuzzy elements is proposed for the multi-attribute decision-making problem under type 2 hesitant dual fuzzy environment，and a numerical analysis is discussed through the selection of strategic delivery plans.