On the structure of left-continuous t-norms that have a continuous contour line

Authors:
Koen C. Maes;Bernard De Baets
Affiliations:
Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, B-9000 Gent, Belgium;Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, B-9000 Gent, Belgium
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

Contour lines totally fix the structure of a t-norm. Expressing the characteristic properties of a left-continuous t-norm in terms of contour lines, provides us more insight into its geometrical structure. In particular, we focus on the decomposition of t-norms that have a continuous contour line.