Binary Integer Programming with user defined objective function

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It is understood that the binary integer programming toolbox can only handle linear objective functions. But does MATLAB allow user defined functions to serve as objective? As far as I know, I don't think so. It is possible to define objective functions in the more popular and also useful 'fmincon'. However, binary integers cannot be associated with it. Either way, is there a solution? I bet MathWorks would have some way out even if not prevalent. Please let me know. It would be very helpful!
Thank you
Sivaramakrishnan Raman

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