I read that it is possible to convert a multi-objective optimization problem into single objective by using weighted sum method. I wanted to know if it is a good idea to convert a two objective optimization problem into single objective by multiplication. for example:
Goal: minimize $f_1(x)$, maximize $f_2(x)$. So is it a good idea to calculate $f_2(x)/f_1(x)$, and use it as an optimal value.
PS: Any related link to academic literature would be helpful as well. Thanks.