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Powers with respect to t-norms and t-conorms and Aggregation Functions

Author
Boixader, D.; Recasens, J.
Type of activity
Book chapter
Book
Fuzzy Logic and Information Fusion
First page
41
Last page
47
Publisher
Springer
Date of publication
2016
ISBN
978-3-319-30419-9 Open in new window
DOI
https://doi.org/10.1007/978-3-319-30421-2 Open in new window
Repository
http://hdl.handle.net/2117/102664 Open in new window
URL
http://link.springer.com/book/10.1007%2F978-3-319-30421-2 Open in new window
Abstract
Aggregation functions A stable with respect to powers of t-norms and t-conorms (i.e.: satisfying A(x^{(r)},y^{(r)})=(A(x,y))^{(r)}) where x^{(r)} is the r-th power of x \in [0,1] with respect to a t-norm or t-conorm) are characterized. This result generalizes the characterization of power stable aggregation functions.
Citation
Boixader, D., Recasens, J. Powers with respect to t-norms and t-conorms and Aggregation Functions. A: "Fuzzy Logic and Information Fusion". Berlín: Springer, 2016, p. 41-47.
Keywords
Aggregation function, power stable aggregation function., power with respect to a t-conorm, power with respect to a t-norm

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