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E-T-lipschitzian and E-T-kernel aggregation operators

Author
Jacas, J.; Recasens, J.
Type of activity
Journal article
Journal
International journal of approximate reasoning
Date of publication
2007-12
Volume
46
Number
3
First page
511
Last page
524
DOI
https://doi.org/10.1016/j.ijar.2007.01.003 Open in new window
Repository
http://hdl.handle.net/2117/19235 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0888613X07000163 Open in new window
Abstract
Lipschitzian and kernel aggregation operators with respect to natural T-indistinguishability operators ET and their powers are studied. A t-norm T is proved to be ET-lipschitzian, and is interpreted as a fuzzy point and a fuzzy map as well. Given an archimedean t-norm T with additive generator t, the quasi-arithmetic mean generated by t is proved to be the most stable aggregation operator with respect to T.
Citation
Jacas, J.; Recasens, J. E-T-lipschitzian and E-T-kernel aggregation operators. "International journal of approximate reasoning", Desembre 2007, vol. 46, núm. 3, p. 511-524.
Group of research
FM&AI - Functional Mathematical Modelling and Applications

Participants