Abstract:

The cut-sets of an intuitionistic fuzzy set are introduced, and an intuitionistic fuzzy fully invariant subgroup and an intuitionstic fuzzy characteristic subgroup are defined. The relationship between the intuitionistic fuzzy fully invariant subgroups and intuitionstic fuzzy characteristic subgroups is investigated. Finally, the structure and characteristic of the intuitionistic fuzzy subgroup of  a circulating group are discussed.

Key words:  intuitionistic fuzzy sets; intuitionistic fuzzy subgroups; intuitionistic fuzzy fully invariant subgroups; intuitionistic fuzzy characteristic subgroup