public class  ActionPermission2
{
    public int ID = 0;
    public int FKMenuID = 0;
    public string ActionName = "";
    public string Allowed = "";
    public int PermissionType = 0;
    public int PermissionTypeID = 0;
}

public ActionResult UpdateModel2(List<ActionPermission2> menuPermissionsModel)
    {
        return Json(true, JsonRequestBehavior.AllowGet);
    }

    public ActionResult UpdateModelSA(string[] menuPermissionsModel)
    {
        return Json(true, JsonRequestBehavior.AllowGet);
    }

$('input[type=checkbox]').each(function ()
             {
                var datarow = {
                    "ID": pId,
                    "FKMenuID": mId,
                    "ActionName": actionName,
                    "Allowed": checked,
                    "PermissionType": "",
                    "PermissionTypeID": ptId
                };

                jsonObj.push(datarow);
            }
        });
        $.ajax({
            type: "POST",

            //url: "@Url.Action("Update")",           //string[] menuPermissionsModel
            url: "@Url.Action("UpdateModel2")",     //List<ActionPermission2> menuPermissionsModel
            //url: "@Url.Action("UpdateModelSA2")",     //List<string> menuPermissionsModel

            data: JSON.stringify({ 'menuPermissionsModel': jArray }),

            traditional: true,
            contentType: "application/json; charset=utf-8",
            dataType: "json",
            success: function (data)
            {
                alert('data: ' + data);
            },
            error: function (data)
            {
                alert("error");
                console.log(data);
            }
        });