On some categories of triangular norms on the real unit interval

In this work, we introduce some categories of triangular norms in which truth values belong to the real unit interval, where arrows are a generalization of automorphisms. We investigate the existence of products, coproducts, equalizers and  coequalizers in these categories. Moreover, we show that Theorems ۲.۲۹, ۲.۳۰ in \cite{Yousefi_Mashinchi_Mesiar_۲۰۲۱} are false by providing counterexamples.

کلیدواژه ها:

Categories of t-norms ، t-norm ، Fuzzy implication ، R-implications