Authors: Thiele, Helmut
Title: Axiomatic Considerations of the Concepts of R-Implication and T-Norm
Language (ISO): en
Abstract: In the paper presented we investigate under which conditions there exists a one-to-one correspondance between a class of generalized R-implications and a class of generalized T-norms based on the mutual definability of these classes. Furthermore, we study which properties of functions of the one class will be translated into properties of functions of the other class by the bijection mentioned above. This paper can be considered as a continuation of author s paper dealing with the same problematics for S-implications on the one hand and S-norms (T-conorms) and negations on the other hand.
Subject Headings: bijections between classes of generalized R-implications and classes of generalized T-norms
mutual definability
R-implications
T-norms
translating properties of R-implications and T-norms by this bijection
URI: http://hdl.handle.net/2003/5330
http://dx.doi.org/10.17877/DE290R-15160
Issue Date: 1998-11-08
Publisher: Universität Dortmund
Appears in Collections:Sonderforschungsbereich (SFB) 531

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