摘要
针对属性值为区间犹豫模糊元且属性间存在相互关联的多属性决策问题,提出一种基于区间犹豫模糊Heronian平均算子的多属性决策方法。首先,给出了区间犹豫模糊元的定义及运算法则;然后,提出了区间犹豫模糊Heronian平均算子和区间犹豫模糊几何Heronian平均算子,并探讨了它们的特性;在此基础上,考虑到各属性的不同重要性,定义了区间犹豫模糊加权Heronian平均算子和区间犹豫模糊加权几何Heronian平均算子;最后,将区间犹豫模糊加权Heronian平均算子应用于多属性决策问题中,验证了所提算子的有效性和可行性。
With respect to the multiple attribute decision making problems in which the attribute values are in the form of interval-valued hesitant fuzzy information and attributes are associated with each other,in this paper proposed a multiple attribute decision making method based on the interval- valued hesitant fuzzy Heronian mean operator. Firstly, the definition of the interval-valued hesitant fuzzy set is given, some basic operation laws of it are discussed; Then, the interval-valued hesitant fuzzy Heronian mean operator and the interval-valued hesitant fuzzy geometric Heronian mean operator are proposed, some desirable properties are studied in detail; Furthermore, considering the attributes with different importance, the interval-valued hesitant fuzzy weighted Heronian mean operator and the interval-valued hesitant fuzzy weighted geometric Heronian mean operator are defined. Finally, the interval-valued hesitant fuzzy weighted Heronian mean operator is applied to the multiple attribute decision making problem, in order to illustrate the effectiveness and feasibility of the proposed operators.
出处
《模糊系统与数学》
北大核心
2017年第5期80-94,共15页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(71672167
71671159)
教育部人文社会科学项目(16YJC630106
16YJC880038)
河北省自然科学基金资助项目(G2016203236)
