Affiliations: [a] School of Business, Central South University, Changsha, China
| [b] Management School, University of South China, Hengyang, PR China
Correspondence:
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Corresponding author. jian-qiang Wang, School of Business, Central South University, Changsha 410083, China. Tel.: +86 73188830594; Fax: +86 7318710006; E-mail: [email protected].
Abstract: 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.
Keywords: Z-number, multidimensional Z-number, operations of probable events, multi-criteria decision-making
