algorithm for ranking items with multiple dependencies

Question

I have an entity which depends on 5 variables x[1] to x[5] , The more the value of the variable the higher the chance of getting selected , Now given multiple entities i need to rank them so that the top entity has the most chance of getting selected . Can u please suggest me an algorithm to solve this. Also the variables might not have the same weight and i need to decide the weight given to each variable using an algorithm. currently I am just multiplying each variable and sorting accordingly