Add Writable computed observable to an object with Knockout JS

I'm trying to add a variable Writable computed observables to an object, I use it to add radio buttons to each row of a table with Knockout, I have this:

JS

    var PageBackControls = {
        ApplyRecommended: ko.observable(true)
        /*Resto del objeto*/

    }

PageBackControls.AgregarBotones = ko.computed({
    read: function () {
        return PageBackControls.ApplyRecommended().toString();
    },
    write: function (newValue) {
        PageBackControls.ApplyRecommended(newValue === "true");
    },
    owner: this
});

HTML

 <div class="roundedRadio">
     <input type="radio" data-bind="attr: { 'id': 'radio1-' + ControlID(), 'name': 'buton1-' + ControlID(), value: 'true' }, checked: PageBackControls.AgregarBotones" />
     <label data-bind="attr: { 'for': 'radio1-' + ControlID() }"></label>
</div>
<div class="col-xs-1">
      <label>Yes</label>
</div>
<div class="roundedRadio">
      <input type="radio" data-bind="attr: { 'id': 'radio2-' + ControlID(),'name': 'buton1-' + ControlID(), value: 'false' }, checked: PageBackControls.AgregarBotones" />
     <label data-bind="attr: { 'for': 'radio2-' + ControlID() }"></label>
</div>
<div class="col-xs-1">
    <label>No</label>
</div>

But when executing the code when selecting a radiobutton all are changed at the same time and not as individual buttons, any error that you see in my code?