Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 36, Issue 2, Pages 1647-1661Publisher
IOS PRESS
DOI: 10.3233/JIFS-18927
Keywords
Z-number; multidimensional Z-number; operations of probable events; multi-criteria decision-making
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Funding
- National Natural Science Foundation of China [71871228]
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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.
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