Condition on optimization variable

Dear Community,

I am trying to solve an optimization problem (below) with the optimization variable x which elements can be either 0 or 1.

I have a parameter A that has the same length as x and which elements are also either 0 or 1. I would like to "freeze" the element values of x for which the elements of A are 0, which could be written that way:

for k=1:numel(A); if A==0; x=0; end

What I mean with "freezing" is that I would like the elements for which x is set to zero to be excluded from the optimization and remain at the value of 0.

However I am confused about how to formulate this condition and integrate it into the code.

Any help appreciated!

fun=@(x)(sum(XObjInvestcosts(x)));
nonlcon=@(x)YConstraintCO2(x);

x0=[0 0];       % Start point (row vector)
lb=[0 0];       % lower bound for x
ub=[1 1];       % upper bound for x
nvars=2;        % Number of variables
Intcon=1:2;     % the variable x has to take integer values

A=[];           % Equality constraint
b=[];           % Equality constraint
Aeq=[];         % Inequality constraint
beq=[];         % Equality constraint

INIPOP=[0 0];
options = optimoptions('ga','MaxGenerations',15,'MaxStallGenerations',Inf,'PlotFcn',@gaplotbestf,'InitialPopulationMatrix',INIPOP);
[x,Fval,exitFlag,Output] = ga(fun,nvars,A,b,Aeq,beq,lb,ub,nonlcon,Intcon,options) ;

Answer 1

[Lenilein]

After the little research I was able to figure out the solution:

I can define a new Matrix B=abs(A-1) which I then integrate as an inequality constraint as follows:

A=[B];
b=0;