I got confused with the monotonic access structure definition.
Following definition is one of the answers to the following question:
What are monotonic and non monotonic access structures in ABE ?
Let $\{1,2,...,n\}$ be a set of indices. An access structure is a collection $\mathbb{A}$ of non-empty subsets of $\{1,2,3,...,n\}$. We say a collection (or an access structure) $\mathbb{A} \subseteq 2^{\{1,2,...,n\}}$ is monotonic if for any $B,C \in 2^{\{1,2,...,n\}}$, if $B \in \mathbb{A}$ and $B \subseteq C$ then $C \in \mathbb{A}$.
According to the above definition, every access structure $\mathbb{A}$ which not include $\{1,2,3,...,n\}$ is not monotonic!, because every arbitrary $B \in 2^{\{1,2,...,n\}}$ always is subset of ${\{1,2,...,n\} }$
Could you please clarify what I am going wrong?