Magento2 – Using addFieldToFilter() with Conditions

The value of your column is not joined automatically to the collection listed in the grid.
The collection listed in the grid is an instance of Mage_Review_Model_Resource_Review_Product_Collection.
You need to modify the method _joinFields in that class. (For test purposes of course. When you are sure it works do it the proper Magento way by rewriting the class.).

By default the fields are joined this way:

$this->getSelect()
        ->join(array('rt' => $reviewTable),
            'rt.entity_pk_value = e.entity_id',
            array('rt.review_id', 'review_created_at'=> 'rt.created_at', 'rt.entity_pk_value', 'rt.status_id'))
        ->join(array('rdt' => $reviewDetailTable),
            'rdt.review_id = rt.review_id',
            array('rdt.title','rdt.nickname', 'rdt.detail', 'rdt.customer_id', 'rdt.store_id'));

If you added your column in the review_detail table you need to add it in the second join. Make the code above look like this:

$this->getSelect()
        ->join(array('rt' => $reviewTable),
            'rt.entity_pk_value = e.entity_id',
            array('rt.review_id', 'review_created_at'=> 'rt.created_at', 'rt.entity_pk_value', 'rt.status_id'))
        ->join(array('rdt' => $reviewDetailTable),
            'rdt.review_id = rt.review_id',
            array('rdt.title','rdt.nickname', 'rdt.detail', 'rdt.customer_id', 'rdt.store_id', 'rdt.view_type'));

The code above will let you see the values in your custom column.

In order to make sorting to work you need to modify the method setOrder in the same class Mage_Review_Model_Resource_Review_Product_Collection.

Change this:

        case 'rt.review_id':
        case 'rt.created_at':
        case 'rt.status_id':
        case 'rdt.title':
        case 'rdt.nickname':
        case 'rdt.detail':
            $this->getSelect()->order($attribute . ' ' . $dir);
            break;

to this:

        case 'rt.review_id':
        case 'rt.created_at':
        case 'rt.status_id':
        case 'rdt.title':
        case 'rdt.nickname':
        case 'rdt.detail':
        case 'rdt.view_type': //you need to add this 'case'
            $this->getSelect()->order($attribute . ' ' . $dir);
            break;

For filtering modify addAttributeToFilter in the same class. Change this

        case 'rt.review_id':
        case 'rt.created_at':
        case 'rt.status_id':
        case 'rdt.title':
        case 'rdt.nickname':
        case 'rdt.detail':
            $conditionSql = $this->_getConditionSql($attribute, $condition);
            $this->getSelect()->where($conditionSql);
            break;

To this:

        case 'rt.review_id':
        case 'rt.created_at':
        case 'rt.status_id':
        case 'rdt.title':
        case 'rdt.nickname':
        case 'rdt.detail':
        case 'rdt.view_type': //you need to add this 'case'
            $conditionSql = $this->_getConditionSql($attribute, $condition);
            $this->getSelect()->where($conditionSql);
            break;

Damn...a lot of work for a simple column. I hope this gets re-factored in 2.0.

[EDIT]

To add your new column as an options column declare it like this:

$this->addColumn('view_type', array(
    'header'        => Mage::helper('review')->__('View type'),
    'align'         => 'left',
    'width'         => '100px',
    'filter_index'  => 'rdt.view_type',
    'index'         => 'view_type',
    'type'      => 'options',
    'options'   => array(
        0 => Mage::helper('review')->__('Show in home page'),
        1 => Mage::helper('review')->__('Show in product details page')
    ),
));

I assume that in your example, yellow, small and china are options in dropdowns.
You will need their ids first, but let's assume the are $yellowId, $smallId and $chinaId.

You can try this filtering.

->addFieldToFilter(['color', 'size', 'country'],
    [
        ['eq' => $yellowId],
        ['eq' => $smallId],
        ['neq' => $chinaId]
    ]);