Some notes on the category of fuzzy implications on bounded lattices
Amin Yousefi, Mashaallah Mashinchi, Radko Mesiar · Kybernetika · 2021
In this paper, we introduce the product, coproduct, equalizer and coequalizer notions on the category of fuzzy implications on a bounded lattice that results in the existence of the limit, pullback, colimit and pushout.Also isomorphism, monic and epic are introduced in this category.Then a subcategory of this category, called the skeleton, is studied.Where none of any two fuzzy implications are Φ-conjugate.