关键词: 区间犹豫模糊元, 加权熵, 距离测度, 加权交叉熵, 多属性群决策

Abstract: The new interval-valued hesitant fuzzy entropy and cross-entropy are constructed, and it develops a new approach for interval-valued hesitant fuzzy multi-attribute group decision-making problems, which is applied to the local higher education development research. The paper constructs a new interval-valued hesitant fuzzy entropy formula, and proves that it satisfies axiomatic requirements of interval-valued hesitant entropy. The axiomatic definition of distance measures between interval-valued hesitant fuzzy elements is proposed, and the relationships among the interval-valued hesitant fuzzy distance measures, interval-valued hesitant fuzzy entropy and interval-valued hesitant fuzzy cross-entropy are studied, and then it develops a new interval-valued hesitant fuzzy cross-entropy formula. Based on interval-valued hesitant fuzzy entropy, cross-entropy and cross-entropy relative closeness, a new method for multi-attribute group decision making problems is proposed under interval-valued hesitant fuzzy environment, which applies it to the local higher education development research to demonstrate its practicality and effectiveness.

Key words: interval-valued hesitant fuzzy element, weighted entropy, distance measure, weighted cross-entropy, multi-attribute group decision making