Recent Advances in the Field of Left-continuous t-norms

The recent advances in the research of left-continuous t-norms is summarized in this talk. The main focus is on construction methods, geometric description, and structural characterization. We point out further research directions and open problems.

[1]  Bernard De Baets,et al.  The triple rotation method for constructing t-norms , 2007, Fuzzy Sets Syst..

[2]  Sándor Jenei,et al.  Structure of left-continuous triangular norms with strong induced negations (I) Rotation construction , 2000, J. Appl. Non Class. Logics.

[3]  Sándor Jenei,et al.  Structure of left-continuous triangular norms with strong induced negations (II) Rotation-annihilation construction , 2001, J. Appl. Non Class. Logics.

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[6]  Sándor Jenei,et al.  New family of triangular norms via contrapositive symmetrization of residuated implications , 2000, Fuzzy Sets Syst..

[7]  Jun Li,et al.  A conditionally cancellative left-continuous t-norm is not necessarily continuous , 2006, Fuzzy Sets Syst..

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[10]  Thomas Vetterlein,et al.  Regular left-continuous t-norms , 2008 .

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[13]  Petr Hájek,et al.  Observations on the monoidal t-norm logic , 2002, Fuzzy Sets Syst..

[14]  Bernard De Baets,et al.  On the structure of left-continuous t-norms that have a continuous contour line , 2007, Fuzzy Sets Syst..

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[16]  Sándor Jenei,et al.  A characterization theorem on the rotation construction for triangular norms , 2003, Fuzzy Sets Syst..

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[19]  Franco Montagna,et al.  A general method for constructing left-continuous t-norms , 2003, Fuzzy Sets Syst..

[20]  Franco Montagna,et al.  On a class of left-continuous t-norms , 2002, Fuzzy Sets Syst..

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[22]  Franco Montagna,et al.  A Proof of Standard Completeness for Esteva and Godo's Logic MTL , 2002, Stud Logica.