Self-opening and closing three-folding umbrellas offer several advantages compared to traditional umbrellas:

1. Convenience: These umbrellas are designed to open and close with a simple press of a button, making them very easy to operate. This is especially useful when you're entering a building or a vehicle and need to quickly close your umbrella.

2. Compact size: Three-folding umbrellas are designed to fold down to a small size, making them easy to carry in a bag or purse. This is ideal for people who are always on the go and don't want to carry a large umbrella.
   

3. Lightweight: Three-folding umbrellas are typically made with lightweight materials, making them easy to carry around all day without feeling weighed down.

4. Durable: These umbrellas are designed with sturdy frames and materials that can withstand strong winds and heavy rain, ensuring they last for a long time.

5. Versatility: Three-folding umbrellas come in many different designs and colors, making them a stylish accessory that can be matched to any outfit.

6. UV protection: Many self-opening and closing three-folding umbrellas are made with UV-resistant materials, which can protect you from harmful UV rays on sunny days.

Overall, the advantages of self-opening and closing three-folding umbrellas make them a popular choice for people who want a convenient and compact umbrella that is easy to use and transport, yet still provides protection from the elements.