关键词: 区间犹豫模糊集, Maclaurin对称平均, 区间犹豫模糊Maclaurin对称平均算子, 多属性群决策

Abstract:

Interval-valued hesitant fuzzy set is a special hesitant fuzzy set, which can more accurately describe decision information. The Maclaurin symmetric mean operator can consider the relationship between multiple input parameter values. Based on the Maclaurin symmetric mean operator, this paper proposes an interval-valued hesitant fuzzy Maclaurin symmetric mean information aggregation method in the interval-valued hesitation fuzzy environment. Firstly, the Interval-Valued Hesitant Fuzzy Maclaurin Symmetric Mean（IVHFMSM） operator is defined. Then, the four excellent properties of the IVHFMSM operator and several special expressions are discussed. Subsequently, considering the proposed Interval-Valued Hesitant Fuzzy Weighted Maclaurin Symmetric Mean（IVHFWMSM） operator, an interval-valued hesitant fuzzy Maclaurin symmetric mean multi-attribute group decision making algorithm is constructed. Finally, an example is given to show that the IVHFWMSM operator has excellent properties, and is more reasonable and feasible.

Key words: interval-valued hesitant fuzzy sets, Maclaurin symmetric mean, interval-valued hesitant fuzzy Maclaurin symmetric mean operator, multi-attribute group decision making