Unless you like flirting with danger, you probably don’t want to rip thin strips against your table saw fence. The correct way is to cut the strips on the opposite side of the blade, leaving the meat of the wood between the fence and the blade, but doing it this way you have to recalculate the distance between the blade and the fence after each cut.
Rockler’s thin-rip tablesaw jig makes the job easier — each time you make a new cut the jig remains stationary, defining the thickness of the strip, but the wood and the fence move to butt up against the jig.
The solid phenolic jig clamps into your miter slot and adjusts from 1-3/8″ to 5-11/16″ away from your miter track. A graduated scale allows you to fine-tune the thickness of the strips, and a single knob locks the jig into the miter track and sets the strip thickness. A ball bearing guide holds the piece firmly against the fence, yet lets it move freely.
Normally the 5-1/4″ wide by 8″ long jig runs $22, but Rockler is selling it for $17 online only, for an indefinite period of time. Be aware that you’ll have to either make or buy a zero-clearance blade insert so the thin strips don’t get jammed between the table and the blade.