How I can export (import) data from TAB format to MIF and vice versa?
If you're using MapInfo it's pretty simple:
If you're not using MapInfo then you might want to check out ogr2ogr.
If you would like to use an Open Source Tool you could use GDAL/OGR: http://www.gdal.org/ogr/drv_mitab.html
To convert from one ogr-supported (MIF, TAB, SHAPE, PostGIS, GML, ...) format to another you could for example do the following:
This would convert any ogr-file in the folder 'src_datasource' to a MIF-File in the folder 'dst_datasource'. Without the switch "-dsco FORMAT=MIF" you will get TAB-Format. Assume you would like to convert Esri Shapefiles to TAB: