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On Continuity of Ordered Aggregation Operators
Author(s) -
Zhang Zhao,
Xu Zeshui
Publication year - 2013
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21577
Subject(s) - sorting , computer science , operator (biology) , mathematics , algorithm , biochemistry , chemistry , repressor , transcription factor , gene
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.