How to plot 3 objective function pareto front in pso

Hi,

I have 3 objective function namely F1, F2, F3. I used PSO for solving this function by combining 3 into 1 as follows.

F=a1*F1+a2*F2+a3*F3

a1, a2, a3 are some constants.

I want to plot all the 3 objectrtive function together to show the result.

Please help me in this.

Thanks in advance.

Answer 1

[Tanmay Das]

Hi,

You may find this example of Plotting 3-D Pareto Front helpful.

The example first shows how to obtain the plot using the built-in 'psplotparetof' plot function. Then solve the same problem and obtain the plot using 'gamultiobj', which requires slightly different option settings. The example shows how to obtain solution variables for a particular point in the Pareto plot. Then the example shows how to plot the points directly, without using a plot function, and shows how to plot an interpolated surface instead of Pareto points.

[Muthukannan]

Thank you..

[Muthukannan]

Hi,

I tried this command for my function.

options = optimoptions('paretosearch','UseVectorized',true,'ParetoSetSize',200,...

'PlotFcn','psplotparetof');

[x,f] = paretosearch(fun,3,[],[],[],[],lb,ub,[],options);

But it shows error as follows

Unable to perform assignment because the size of the left side is 199-by-3 and the size of the right side is 1-by-3.

Error in globaloptim.internal.FcnEvaluator/getAllPoints_vectorized (line 68)

fval(isFeasible,:) = fvalFeas;

Error in globaloptim.internal.FcnEvaluator/evaluateAll (line 12)

[idx, X, fval, residuals] = getAllPoints_vectorized(obj);

Error in globaloptim.paretosearch.coldstart (line 114)

[idx, objval, residuals] = optimState.FcnEvaluator.evaluateAll();

Error in globaloptim.paretosearch.initialize (line 32)

globaloptim.paretosearch.coldstart(objfun,linConstr,nonlcon,optimState,options);

Error in globaloptim.paretosearch.driver (line 28)

globaloptim.paretosearch.initialize(objfun,linConstr,nonlcon,optimState,options);

Error in paretosearch (line 234)

[X,FVAL,EXITFLAG,OUTPUT,CINEQ,CEQ] = globaloptim.paretosearch.driver(objfun,nonlcon,optimState,linConstr,options,OUTPUT);

Error in plot_traf (line 11)

[x,f] = paretosearch(@facility,nvars,[],[],[],[],lb,ub,[],options);

Please help me out this.

[Walter Roberson]

You used 'UseVectorized', true . When you do that, your function needs to return a 2D array that is (number of input rows) x (number of objective functions). However your code is returning only one row instead when a 2D array is input.

[Muthukannan]

Thank you so much..