Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Logic of Pseudo-Uninorms and their Residua

Version 1 : Received: 16 February 2019 / Approved: 18 February 2019 / Online: 18 February 2019 (10:42:15 CET)

A peer-reviewed article of this Preprint also exists.

Wang, S. The Logic of Pseudo-Uninorms and Their R. Symmetry 2019, 11, 368. Wang, S. The Logic of Pseudo-Uninorms and Their R. Symmetry 2019, 11, 368.

Journal reference: Symmetry 2019, 11, 368
DOI: 10.3390/sym11030368


Our method for density elimination is generalized to the non-commutative substructural logic GpsUL∗. Then the standard completeness of HpsUL∗follows as a lemma by virtue of previous workbyMetcalfeandMontagna. This result shows that HpsUL∗ is the logic of pseudo-uninorms and their residua and answered the question posed by Prof. Metcalfe, Olivetti, Gabbay and Tsinakis.


Density elimination; Pseudo-uninorm logic; Standard completeness of HpsUL∗;Substructural logics; Fuzzy logic



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