The existing entropy of the extended hesitant fuzzy linguistic term set cannot distinguish the uncertainty of the extended hesitant fuzzy linguistic term set which is equal to the complement set, and there is relatively little consideration of hesitation in the hesitant fuzzy linguistic information, which does not fully reflect the uncertainty of the hesitant fuzzy linguistic information. This paper improves the definition of the entropy for extended hesitant fuzzy linguistic term sets, and describes the uncertainty of the extended hesitant fuzzy linguistic term set from the aspects of fuzziness and hesitation. The fuzzy entropy and hesitant entropy of the extended hesitant fuzzy linguistic term set are defined respectively. The general formula and generating algorithm of fuzzy entropy and hesitant entropy are given. Then the total entropy of the extended hesitant fuzzy linguistic term set is defined, and the general formula for total entropy is proposed. Finally, a multi-attribute decision-making example of the promotion optimization evaluation of college professors based on the entropy of the hesitant fuzzy linguistic term set is given, and the feasibility and effectiveness of the decision-making method are illustrated through comparative analysis.

%U http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2007-0301