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Residual coimplicators of left and right uninorms on a complete lattice. (English) Zbl 1183.03027
A left (right) uninorm \(U\) on a complete lattice \(L\) is an associative, non-decreasing binary operation with left (right) neutral element. If a left (right) uninorm has one neutral element, then \(U\) is called a pseudo-uninorm. The authors of this paper discuss some basic properties of the residual coimplications of infinitely \(\wedge\)-distributive left (right) uninorms and pseudo-uninorms. They also investigate the relations between them and residual implications presented by the authors in [“Residual operations of left and right uninorms on a complete lattice”, Fuzzy Sets Syst. 160, No. 1, 22–31 (2009; Zbl 1183.06003)].

03B52 Fuzzy logic; logic of vagueness
03E72 Theory of fuzzy sets, etc.
06B23 Complete lattices, completions
Full Text: DOI
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