Is there a mathematical definition of ranking by parameters with weights?

Question

Sphinx

There is a set of objects with a number of parameters in different scales. It is necessary to rank objects depending on the initially specified weight of each parameter.
For example
Object1 1 3 5
Object2 2 8 3
Suppose attribute weights are 25, 25, 50 - total 100%
Now it only comes to mind to take a percentage of each number and add them together
Object1 0.25+0.75+2.5=3.5
Object 2 0.5+2+1.5 = 4
Object 2 won,
but still I believe that this is not correct. Tell me which way to dig? Rummaged through the whole Google in the query "ranking" produces different heresy about SEO.

Answer 1

Why is it wrong? This is how rankings work most of the time.
And in the general case, there is a certain function - an appraiser, which can give the result of the assessment in any way, at least by the ratio of weights, at least by weight for each object. But the method described by you is used most often because it is simpler, except that it is usually considered in fractions, not percentages. Well, if the objects cannot be directly compared, then their parameters need to be normalized somehow

Answer 2

I don't think there is a single "correct" option here. The ranking method should stem from the task and subject area. The method given as an example also has a right to exist.