关键词: 概率不确定语言集, 概率不确定语言熵, 不完全信息熵, 总熵, 多属性决策

Abstract: A multi-attribute decision-making method based on probabilistic uncertain linguistic entropy is proposed for the multiple uncertain linguistic terms of probabilistic uncertain linguistic term set and characteristics that their probabilistic is different. Firstly, four new probabilistic uncertain linguistic entropy measures are proposed, including the fuzzy entropy, the hesitant entropy, the lack of knowledge entropy and the total entropy to measure the fuzziness, hesitation, lack of knowledge and global uncertainty of probabilistic uncertain linguistic term set respectively. Secondly, the axiomatic definition and expressions of the four entropy measures are given. Finally, the multi-attribute decision-making model that can solve unknown attribute weights is constructed by the four entropy of probabilistic uncertain linguistic term set, and the validity and rationality of the model are verified by case and contrast analysis.

Key words: probabilistic uncertain linguistic term set, probabilistic uncertain linguistic entropy, lack of knowledge entropy, total entropy, multi-attribute group decision making