A note on logical connectives with weak duality

Alsina Català, Claudi; Tomás Belenguer, María Santos

doi:10.1007/978-3-319-16235-5_2

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Alsina Català, Claudi

Tomás Belenguer, María Santos

Document typeArticle

Defense date2015-03-31

Rights accessOpen Access

Abstract

We study the weak duality S(x, N(x)) = N(T (x, N(x))) where S is a continuous t-conorm, T is a continuous t-norm and N is a strong negation. We characterize completely the strict cases and show that in all other cases there is no direct relation between generators of T and S or between their possible Archimedean components in ordinal sums.

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The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-16235-5_2

CitationAlsina, C.; Tomas, M. A note on logical connectives with weak duality. "Studies in fuzziness and soft computing", 31 Març 2015, vol. 322, p. 23-26.

URIhttp://hdl.handle.net/2117/27998

DOI10.1007/978-3-319-16235-5_2

ISSN1434-9922

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