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Indistinguishability operators with respect to different t-norms

Author
Boixader, D.; Recasens, J.
Type of activity
Journal article
Journal
International journal of uncertainty fuzziness and knowledge-based systems
Date of publication
2012-04
Volume
20
Number
2
First page
167
Last page
183
DOI
https://doi.org/10.1142/S0218488512500080 Open in new window
Repository
http://hdl.handle.net/2117/19010 Open in new window
URL
http://www.worldscientific.com/doi/pdf/10.1142/S0218488512500080 Open in new window
Abstract
An isomorphism f between two continuous Archimedean t-norms T and T' transforms a T-indistinguishability operator E into a T'-indistinguishability operator f ° E and many interesting properties of E are transfered to f ° E by f. This paper generalizes this result in order to relate indistinguishability operators with respect to two non isomorphic continuous Archimedean t-norms. This will allow us to transfer definitions and properties from strict to non-strict Archimedean t-norms and vice vers...
Citation
Boixader, D.; Recasens, J. Indistinguishability operators with respect to different t-norms. "International journal of uncertainty fuzziness and knowledge-based systems", Abril 2012, vol. 20, núm. 2, p. 167-183.
Keywords
Indistinguishability operator, Non-strict Archimedean t-norm, Representation theorem, Strict Archimedean t-norm
Group of research
FM&AI - Functional Mathematical Modelling and Applications

Participants