关键词: 区间犹豫模糊集, 熵, 相似度

Abstract: Based on the concept of hesitant fuzzy entropy, this paper introduces the concepts of entropy and similarity measures for interval-valued hesitant fuzzy information, and discusses their relationships. Firstly, the axiomatic definition of entropy for interval-valued hesitant fuzzy sets is proposed. Two entropy measure formulas are further developed, and they satisfies four axiomatic requirements of interval-valued hesitant fuzzy entropy. Then, the paper presents the concept of the interval-valued hesitant fuzzy weighted entropy depending on the interval-valued hesitant fuzzy entropy. Finally, the concept of interval-valued hesitant fuzzy similarity measures is given, and it studies the relationships between interval-valued hesitant fuzzy similarity measures and interval-valued hesitant fuzzy entropy.

Key words: Interval-Valued Hesitant Fuzzy Sets（IVHFS）, entropy, similarity measures