Applying a method to extend lattice-valued fuzzy negations generated from T-conorms using retractions

Eduardo S. PalmeiraBenjamin R. C. Bedregal

It is proposed in [Extension of Fuzzy Logic Operators Defined on Bounded Lattices via Retractions, Computer & Mathematics with Applications, 63: 1026--1038, 2012] a method for extending t-norms, t-conorms and fuzzy negations from a sublattice $M$ of bounded lattice $L$ considering a relaxed notion of sublattices. In this work we apply this method to extend a class of fuzzy negations constructed from t-conorms and test which properties of these negations are preserved by this extension. Moreover, we prove some related results involving automorphisms.

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