q阶犹豫模糊集及其在决策中的应用

Q-Rung Hesitant Fuzzy Sets and Its Application to Multi-criteria Decision-Making

定义q阶模糊集的数乘、算术、几何等基本运算,研究运算的性质.结合犹豫模糊集与q阶模糊集,提出q阶犹豫模糊集的概念,定义q阶犹豫模糊集的一些运算并研究基本性质,提出q阶犹豫模糊集的得分函数和精确函数,实现q阶犹豫模糊集的对比.基于q阶犹豫模糊集的基本运算法则,构建q阶犹豫模糊集的多属性群决策模型,并通过实例验证此决策模型的可行性和有效性.

Basic operations of q-rung fuzzy sets are defined, and some of their properties are studied. By combining q-rung fuzzy sets and hesitant fuzzy sets, the concept of q-rung hesitant fuzzy sets is proposed. Then, some basic operations of q-rung hesitant fuzzy sets are defined and their properties are studied. Score functions and accuracy functions of q-rung hesitant fuzzy sets are defined. Based on the operations of q-rung hesitant fuzzy sets, the multi-criteria decision making model is constructed, and the feasibility and validity of the proposed model are verified by examples.