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Sys."],"published-print":{"date-parts":[[2021,6]]},"abstract":"<jats:p>Cross-entropy for uncertain sets is used to measure the divergence between two membership functions. Sine cross-entropy, logarithm cross-entropy and quadratic cross-entropy for uncertain sets have been proposed, all the definitions fail to measure the degree of divergence associated with some uncertain sets. Thus, this paper presents a new definition of cross-entropy for uncertain sets as a supplement, and investigates its properties. 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