How to input mixed positive integer variable to "gamultiobj" fitness function?

Hello all, I am using the "gamultiobj" optimization function.

I have two variable(nvars=2) in my problem. That is each function takes the two variable x(1) and x(2). The problem solves well for contineuos variable lying between 2 to 10 and 1.5 to 5.

Now I want to modify the first variable as positive integer i.e. the first variable must be a positive integer number between 2 to 10 (1, 2, 3, 4,5, 6, 7, 8, 9 or 10 only) while the second one is a contineous. My problem is when I am setting lb=[2 1.5]; ub=[10 5]; the second variable is still continous number. So how can I fix the first variable to vary as integer number in between 2 to 5?

fn = @(x)[fn1(x),fn2(x),fn3(x),];

nvars=2;

A=[];

b=[];

Aeq = [];

beq = [];

lb=[2 1.5];

ub=[10 5];

rng default % for reproducibility

[x,fval] = gamultiobj(fn,nvar,A,b,Aeq,beq,lb,ub);

Thanks in advance

Answer 1

[Alan Weiss]

If your MATLAB version is R2021b or later, you can use integer constraints in gamultiobj. For details, see the function reference page.

Alan Weiss

MATLAB mathematical toolbox documentation