On some categories of triangular norms on the real unit interval

نویسندگان

1 Institute of Mathematics, University of Silesia in Katowice, Katowice, Poland

doi
10.22111/ijfs.2022.7164
چکیده

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 2.29, 2.30 in \cite{Yousefi_Mashinchi_Mesiar_2021} are false by providing counterexamples.