public class MyClass {
    private enum MyEnum {
        EMPTY(EnumSet.noneOf(MyEnum.class)),
        NOTEMPTY(EnumSet.of(MyEnum.EMPTY));

        private final Set<MyEnum> set;

        MyEnum(Set<MyEnum> s) {
            set =s;
        }

        public Set<MyEnum> getSet() {
            return s;
        }
    }

    private Set<MyEnum> set;

    public MyClass() {
        set = NONE.getSet()
    }
}