To provide another approach similar to the answer by @IvanCollantes.
It works by additionally filtering the required checkboxes by name. I also simplified the code a bit and checks for a default checked
checkbox.
jQuery(function($) {_x000D_
var requiredCheckboxes = $(':checkbox[required]');_x000D_
requiredCheckboxes.on('change', function(e) {_x000D_
var checkboxGroup = requiredCheckboxes.filter('[name="' + $(this).attr('name') + '"]');_x000D_
var isChecked = checkboxGroup.is(':checked');_x000D_
checkboxGroup.prop('required', !isChecked);_x000D_
});_x000D_
requiredCheckboxes.trigger('change');_x000D_
});
_x000D_
<script src="https://ajax.googleapis.com/ajax/libs/jquery/1.11.1/jquery.min.js"></script>_x000D_
<form target="_blank">_x000D_
<p>_x000D_
At least one checkbox from each group is required..._x000D_
</p>_x000D_
<fieldset>_x000D_
<legend>Checkboxes Group test</legend>_x000D_
<label>_x000D_
<input type="checkbox" name="test[]" value="1" checked="checked" required="required">test-1_x000D_
</label>_x000D_
<label>_x000D_
<input type="checkbox" name="test[]" value="2" required="required">test-2_x000D_
</label>_x000D_
<label>_x000D_
<input type="checkbox" name="test[]" value="3" required="required">test-3_x000D_
</label>_x000D_
</fieldset>_x000D_
<br>_x000D_
<fieldset>_x000D_
<legend>Checkboxes Group test2</legend>_x000D_
<label>_x000D_
<input type="checkbox" name="test2[]" value="1" required="required">test2-1_x000D_
</label>_x000D_
<label>_x000D_
<input type="checkbox" name="test2[]" value="2" required="required">test2-2_x000D_
</label>_x000D_
<label>_x000D_
<input type="checkbox" name="test2[]" value="3" required="required">test2-3_x000D_
</label>_x000D_
</fieldset>_x000D_
<hr>_x000D_
<button type="submit" value="submit">Submit</button>_x000D_
</form>
_x000D_