The arithmetic of multidimensional Z-number

被引:19
|
作者
Shen, Kai-Wen [1 ]
Wang, Jian-Qiang [1 ]
Wang, Tie-Li [2 ]
机构
[1] Cent S Univ, Sch Business, Changsha 410083, Hunan, Peoples R China
[2] Univ South China, Management Sch, Hengyang, Peoples R China
基金
中国国家自然科学基金;
关键词
Z-number; multidimensional Z-number; operations of probable events; multi-criteria decision-making; DECISION-MAKING; FUZZY NUMBERS; AGGREGATION;
D O I
10.3233/JIFS-18927
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The Z-number has become a new representation of evaluation information because of its superiority in describing reliability measure. Current studies focuses mainly on the unidimensional Z-number like Z = (about 25 min, usually). Studies on multidimensional cases have not been reported. However, because people often describe things from various aspects, using only one aspect of information to describe uncertain events fully is difficult. In this paper, we propose the concept of the multidimensional Z-number, such as ((about 20 miles, about 25 min), usually) to handle complex information. For this purpose, we first define the basic operations of the multidimensional Z-number. We then propose a feasible comparison method. The effectiveness of the proposed method is demonstrated by a series of numerical examples.
引用
收藏
页码:1647 / 1661
页数:15
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