1995 Dodge Intrepid Fuel Gauge

When I fill the fuel tank on my 1995 Dodge Intrepid the fuel gauge reads fine until it gets down to 1/2 a tank. At this point the Fuel gauge starts dropping sporadically and the low fuel light comes on and then the gauge goes back to normal. It will do this several times a minute until you put gas in it to raise the level above 1/2 a tank. I've had the car for 10 years and This problem just started a couple of months ago. I put fuel system cleaner in the tank to see if that would help, but the problem continues. Any suggestions? Thanks