In order to quantitatively characterize the degree of uncertainty of hesitant fuzzy information, the entropy of hesitant fuzzy element and intervalvalued hesitant fuzzy element are generalized to the entropy of hesitant fuzzy sets and intervalvalued hesitant fuzzy sets. First of all, the axiomatic definitions of entropy and similarity measure of hesitant fuzzy sets and intervalvalued hesitant fuzzy sets are given. On this basis, a generalized formulae of entropy and similarity measure is proposed. The algorithms for generating entropy and similarity of hesitant fuzzy sets are given. Then, the relationship between the entropy and the similarity measure of the hesitant fuzzy sets is studied, and the generalized similaritybased entropy formulae are proposed. Furthermore, the relevant conclusions of the relationship between the entropy and the similarity of the hesitant fuzzy set and their respective general formulas and generating algorithms are extended to that of intervalvalued hesitant fuzzy sets. Finally, a numerical example of the reliability analysis of the logistics supply base location scheme based on the entropy and similarity of hesitant fuzzy sets is given.