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

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder

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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