On Continuity of Ordered Aggregation Operators
Article first published online: 14 JAN 2013
© 2013 Wiley Periodicals, Inc.
International Journal of Intelligent Systems
Volume 28, Issue 4, pages 307–318, April 2013
How to Cite
Zhang, Z. and Xu, Z. (2013), On Continuity of Ordered Aggregation Operators. Int. J. Intell. Syst., 28: 307–318. doi: 10.1002/int.21577
- Issue published online: 14 FEB 2013
- Article first published online: 14 JAN 2013
- National Natural Science Foundation of China. Grant Numbers: 71071161, 61273209
Many aggregation operators involve sorting operations. People usually call them ordered aggregation operators, such as the ordered weighted averaging operators. The stability of these operators depends on the continuity of sorting operations. In this paper, we will show that the sorting operations have a very good continuity and thus the ordered aggregation operators are robust. However, the analysis of the continuity of sorting operations involving intuitionist fuzzy values is difficult. In this case, we may need to introduce a new topology and the results turn out to be rather complicated.