T-norms with threshold (Q1267521)

It is well known that t-norms and t-conorms are used very often in fuzzy set theory. Applications to practical problems require the use of the ``most appropriate'' t-norm or t-conorm. For this reason, the construction of new t-norms seems to be an important tool for the theory but also for the applications. We present in this paper two kinds of t-norms, t-conorms and negations; the first extends the results of \textit{D. Pacholczyk} [BUSEFAL 32, 11-18 (1987)] and the second is a new kind.