Microarray gene expression matrix format
The RAW signal values from each microarray are transformed and processed to give you normalized signal values for each microarray. The transformation and processing steps are standard but different for each manufacture. Each manufacture uses a different method/technology to obtain signal values. Thus, signal values are not directly comparable between different microarray technologies. 

Experiments using different technologies might get similar RANK of results but the normalized signal values will be different. You can have a look at GEO for a list of datasets and commonly used technologies. I have no clue what you mean by applying classification (are you looking to cluster the results from different microarray technologies run on the same experiment? I'm pretty sure a comparison of microarray technologies has been done before/already)