Fuzzy subgroups of \(n\)-ary subgroups.
The first fuzzification of an \(n\)-ary algebraic structure was introduced in 2000 by \textit{W. A. Dudek} [Quasigroups Relat. Syst. 7, 45-66 (2000; Zbl 0986.20069)]. The notion of intuitionistic fuzzy set in \(n\)-ary systems was defined and studied also by \textit{W. A. Dudek} [ibid. 13, No. 2, 213-228 (2005; Zbl 1109.20059)]. In this paper, the author introduces and studies the concept of \(t\)-fuzzy \(n\)-ary subgroup in an \(n\)-ary group. Several helpful examples are presented and some properties related to \(t\)-fuzzy \(n\)-ary subgroups are investigated.
scientific article; zbMATH DE number 6110991
scientific article