CAJ | 학술논문

基于犹豫模糊熵的概念，提出了区间犹豫模糊熵和相似度的概念，同时研究了它们之间的相互关系。给出了区间犹豫模糊熵的公理化定义，在此基础上构造了两种形式的熵测度公式，并且证明了它们满足区间犹豫模糊熵的四条公理化准则；依据区间犹豫模糊熵引入了区间犹豫模糊加权熵的概念；提出了区间犹豫模糊相似度的概念，并且研究了区间犹豫模糊环境下的熵和相似度之间的关系。
기우유예모호적적개념，제출료구간유예모호적화상사도적개념，동시연구료타문지간적상호관계。급출료구간유예모호적적공이화정의，재차기출상구조료량충형식적적측도공식，병차증명료타문만족구간유예모호적적사조공이화준칙；의거구간유예모호적인입료구간유예모호가권적적개념；제출료구간유예모호상사도적개념，병차연구료구간유예모호배경하적적화상사도지간적관계。
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 inter-val-valued hesitant fuzzy similarity measures and interval-valued hesitant fuzzy entropy.