tyranny of the majority

This concept was invented by rich people who were afraid that the majority would vote to take away their wealth and property.

Just saying.

I don't personally have designs. But, libertarian socialism / anarchism does have perspectives, if not plans.

power and authority to rule over others

No one gets this.

enforce rules

Everyone does this.

tyranny of the majority

Anarchists reject the premise that freedoms of the minority can be removed by democratic vote. While votes can be informative, even useful, they are not binding.

people with the most strength/resources/time/energy to rule over others

My understanding is that the people, collectively, are considered more powerful than any individual, and any anti-social individuals will be corrected by the people.

I personally think that warlord-ism is a risk. It seems a common enough result of a governmental vacuum. But, as I understand the theory, any persons that attempt to rule will be resisted as if they were the government. Liberal socialism isn't pacifistic; it argues that defensive violence is just. In particular, if someone is making a legitimate threat of violence to take away the freedoms of you or someone else, you should use violence to remove the threat. If the threat is significant or persistent enough, this (defensive) violence might require collective action.