Try this from JavaScript.
You have to get product type list. Run a loop to build html for product types check boxes and append into container div.
var builder ="";
for (var j = 0; j < product_types.length; j++) {
builder = builder + "<input Text='" + product_types[j].Value + "' Value='" + product_types[j].Key + "' id='" + product_types[j].Value+ "' type='checkbox' onclick='FunctionName();' /> " + product_types[j].Value;
}
$("#ContainerDiv").append(builder);
Thanks.