Extended grey numbers and their operations
Date
2007-10-01
Authors
Advisors
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Type
Other
Peer reviewed
Abstract
Description
One of the advantages of grey numbers over intervals is their capability in expressing discrete and continuous numbers. This is not shown by the present application of grey numbers. We provide a new definition of grey numbers which integrates both continuous and discrete grey numbers. We discuss their degree of greyness and derive their arithmetic operations and relevant degree of greyness. Our results show that grey numbers have more powerful capability in expressing uncertainty caused by missing information. This research is applicable to engineering domains where discrete grey numbers are necessary, such as transportation planning etc.
Keywords
RAE 2008, UoA 23 Computer Science and Informatics
Citation
Yang, Y. (2007) Extended grey numbers and their operations. Proceedings of the 2007 IEEE International Conference on Systems, Man and Cybernetics, pp. 2181-2186.