This paper proposes a cross-entropy measure between dual hesitant fuzzy sets (DHFSs) as an extension of the cross-entropy measures of intuitionistic fuzzy sets. Then the cross-entropy measure between DHFSs is applied to multiple attribute decision making under dual hesitant fuzzy environments....

Introduction -- Probability-based hesitant fuzzy opinion dynamics decision-making method -- Distribution-based decision-making method for dual hesitant fuzzy information -- Multi-attribute decision-making method based on probabilistic hesitant fuzzy entropy -- Probability-based integration for...