"Security" of SHA functions (Wikipedia), what does it mean? Wikepedia's table Comparison of SHA functions mentions "Security(bits)" for some SHA functions. From the ratio (Output size (bits): Security(bits)), I feel it is something like "collision resistance". So, 

Should we only consider collision resistance as the Security of a hash function?

what does the Security in the table mean?
Security in the table refers to collision resistance. By the birthday problem, there's a generic attack that finds collisions in any compressing function by choosing $\sqrt{2^m}$ random inputs ($m/2$ security bits), where $m$ is the output length.

Depending on the application, weaker requirements might be sufficient, such as second pre-image resistance or even one-wayness. A generic attack against the two weaker notions requires about $2^m$ work ($m$ security bits).