若集合\(A _{1}\)、\(A _{2}\)满足\(A _{1} ∪A _{2} =A\),则称\((A _{1} , A _{2} )\)为集合\(A\)的一个分拆,并规定:当且仅当\(A _{1} =A _{2}\)时,\((A _{1} , A _{2} )\)与\((A _{2} , A _{1} )\)为集合\(A\)的同一种分拆,则集合\(A=\{a _{1} , a _{2} , a _{3} \}\) 的不同分拆种数是\((\:\:\:\:)\)
A.\(27\)
B.\(26\) C.\(9\) D.\(8\)