On many valued implications. (English) Zbl 0940.03061

Šabo, Michal

Tatra Mt. Math. Publ. 14, 161-167 (1998).

This paper is a superficial overview of some construction methods for many-valued implications in the context of fuzzy set theory. The main result, concerning the coincidence of so-called \(S\)-implicators and residual implicators, is well known in the literature.

Reviewer: Bernard De Baets (Gent)

MSC:

03E72	Theory of fuzzy sets, etc.
26B35	Special properties of functions of several variables, Hölder conditions, etc.

Keywords:

triangular norm; many-valued implications; fuzzy set theory; \(S\)-implicators; residual implicators