## 3-objective optimization weights

### Jasmina Burek (view profile)

on 15 Jun 2018
Latest activity Commented on by Alan Weiss

### Alan Weiss (view profile)

on 19 Jun 2018
I need a weight function for 3-objective optimization that will look like weights proposed in attachment. Is there a way to present this matrix as a function? Thank you for your help.
Jasmina

Alan Weiss

### Alan Weiss (view profile)

on 18 Jun 2018
Sorry, I have no idea what you are asking. You need a "weight function for a 3-objective optimization" where the weights add up to one and are positive. What does that mean? You want a function that gives three weights that are positive and add to one, and what else? For example, here is a function: f(x) = [1/3,1/3,1/3]. What is wrong with that? If you can say what you want, then we might be able to help you.
Alan Weiss
MATLAB mathematical toolbox documentation
Jasmina Burek

### Jasmina Burek (view profile)

on 18 Jun 2018
Hi Alan, Thank you for your reply. I attached a figure in my original post how the weights should look like, but more gradual. For example, for two-objective optimization problem I used weight=[t(1,r),1-(t(1,r))]; t = linspace(0,1,N); I want to avoid listing all the weights as a matrix. Thank you for your help.
Alan Weiss

### Alan Weiss (view profile)

on 19 Jun 2018
Again, I do not understand what you want. For three-objective optimization, based on your latest comment, I would use
t = linspace(0,1,N)';
w1 = [t,(1-t)/2,(1-t)/2];
w2 = [(1-t)/2,t,(1-t)/2];
w3 = [(1-t)/2,(1-t)/2,t];
The rows of w1, w2, or w3 seem to me to satisfy your requirement. But I believe that you know this already, so again do not understand what you want.
Alan Weiss
MATLAB mathematical toolbox documentation