Almost every night, at least once a night I could hear my toilet flushing on its own without anyone touching it. What could be the cause of this?

Do you really think 'toilet' is spelled 'toliet'? You wrote this 4 times.

Replace the water inlet valve. It sounds like it is sticking and you also have very low water pressure. Call in a plumber and get the water pressure test with a gauge.

A dual flush toilet is a fantastic option to save water and make your home more environmentally friendly. Giving you the option for a half flush or full flush at your discretion, you can lower your water consumption while still getting the job done. However, like all toilets, they can present problems that mean the toilet doesn't function as it should. One common problem in dual flush toilets is constantly running. You hear the tank constantly being filled, even when it should be finished and completely full. If your dual flush toilet is constantly running, first check for the top three problems that cause this trouble:
Flapper or Seal Trouble
The flapper or seal is often the culprit in constant running water in both normal and dual flush toilets. Over time, this rubber piece may become brittle or simply misaligned. To check it, turn off the water supply and flush the toilet to completely empty it of water. Remove any remaining water with a sponge or towel. Then, you'll need to remove the flush valve canister in order to access the seal. Once you've found the seal, check to see if there are any cracks in the seal. If there are, you'll need to replace it. Otherwise, check to see if it can be re-aligned to sit nicely in its place. Some homeowners find that applying a bit of Vaseline to the seal can renew it, making it supple and functional again for a while at least.
Debris
Sometimes the water supply isn't as clean as we think. Or, dust and dirt may be able to enter the toilet, causing the fill valve to malfunction. To check it, turn off the water supply and remove the lid from the fill valve. Then, look for any debris and remove it. You may also consider brushing out the valve with a small brush. Once you're certain it is clean, recap the valve and check if the problem has been solved.
Broken Zip Tie
The fill valve in most dual flush toilets has a zip tie to keep the base of the fill valve in place. If the fill valve isn't strongly secured, it can cause the toilet to run. Sometimes these ties wear out or break before the rest of the device does. You'll need to replace a broken zip tie with a new one if you find that it's broken. If possible, you can place two zip ties on the fill valve in order to assure that the base doesn't wobble, causing the leak. Many times these problems are easy for the average homeowner to check for and repair. In the case that you are not able to find a solution to your dual flush toilet's constant running, then you'll need to call in the help of a professional plumber. A high quality plumbing company will be able to help you troubleshoot your dual flush toilet troubles and make sure it's functioning properly again.

Remove and clean the flush valve and the flush valve seat(it is the flap that opens up to allow water to flush the toilet). Once the edges of the valve and the seat are cleaned, possibly with "0000" grit bulldog steel wool, it should not leak anymore. To make sure it is not leaking, once tank has refilled completely, put some food die in the tank. If, after 10-15 minutes, the water in the toilet bowl is colored, you have a leak from the flush valve. Replacing the flush valve is very easy - just bring the old one with you to the hardware/plumbing store and ask for a replacement. Blessings and good luck!!

Check that the black float ball isnt hanging up on anything under the cover if it stops and hangs up on something the valve will continue to fill the tank and water willoverflow cause it wont shut off.

buy a simpler toilet less problems and you will sleep at night

What is happening is that water is seeping out of the toilet quietly until the level drops low enough in the tank thus causing it to refill on its own. Solution replace the flapper.

Anytime that you have water dripping between flush cycles, it is caused by water leaking through the flush valve. Without being able to look at it I would recommend placing the entire flush valve assembly (flush ball/plunger and the valve seat (washer). The part is not expensive, although the labor may be. You could replace the flush ball or plunger (whichever type it is) yourself and that may correct the problem.

use a two gallon buck to flush your toilet - you pour the two gallons directly into the toilet bowl if it flushes fine you need to replace the flush valve, as it is not letting enough water through to properly flush the commode. either rebuild the flush system in the tank or install a fluid master and have a good nights sleep knowing that in the morning you will not leave a suprise for someone else in the family.

Sounds like your toilet is not vented properly. Possilbly something caught in the trap is causing it to syphon

it could be the flapper or a bad fill valve. you can easily replace these yourself. they sell kits at lowe's and home depot, or most hardware stores. they are pretty inexpensive and should only take about 15 minutes