On intuitionistic fuzzy subquasigroups of quasigroups (Q2729636)

As a generalization of the notion of fuzzy set, the idea of intuitionistic fuzzy set was first published by \textit{K. T. Atanassov} [Fuzzy Sets Syst. 20, 87-96 (1986; Zbl 0631.03040)]. After that, the intuitionistic fuzzification of near-rings was considered by \textit{Y. B. Jun, K. H. Kim} and \textit{Y. H. Yon} [J. Inst. Math. Comput. Sci., Math. Ser. 12, No. 3, 221-228 (1999; Zbl 0948.16034)].NEWLINENEWLINENEWLINEIn this paper, the authors apply the concepts of intuitionistic fuzzy sets to subquasigroups of a quasigroup and introduce the concept of an intuitionistic fuzzy subquasigroup of a quasigroup, and some related properties are investigated, some of which are similar to that of other fuzzy algebraic systems. Finally, the authors discuss equivalence relations on the family of all intuitionistic fuzzy subquasigroups of a quasigroup.