Weak, dual weak and strong \(FH\)-homomorphisms of \(F\)-polygroups (Q2714149)

The authors introduce the notions of dual, weak, strong, mono, epi, iso \(FH\)-homomorphisms of \(F\)-polygroups and some related results are obtained. Among them, the relationship between fuzzy sub-\(F\)-polygroups of the product of two \(F\)-polygroups and a type of \(FH\)-homomorphisms is investigated.NEWLINENEWLINENEWLINEThe notions of fuzzy sub-\(F\)-polygroups and normal fuzzy \(F\)-polygroups are defined and characterized, together with the special quotient induced by an \(FH\)-homomorphism.NEWLINENEWLINENEWLINEWe remind that an \(FH\)-function from \(X\) into \(Y\) (nonempty sets) is a function from \(X\) into \(I^Y_*\), and this is fuzzy if \(\text{supp }(f(x))\) is a singleton set, for all \(x\in X\).