checkbox是复选框，单选请用radio

试试这个呢

<p ng-controller="MyCtrl">
    <p ng-repeat="item in list">
        <label><input type="checkbox" ng-model="item.checked" ng-change="onChange(item)">{{item.name}}</label>
    </p>
</p>

.controller('MyCtrl', function ($scope) {
    $scope.selected = '';
    $scope.list = [
        {id: 1, name: 'xxx'},
        {id: 2, name: 'yyy'},
        {id: 3, name: 'zzz'}
    ];

    $scope.onChange = function (item) {
        if (item.checked) {
            if (!$scope.selected) $scope.selected = item;
            if ($scope.selected !== item) item.checked = false;
        } else {
            $scope.selected = '';
        }
    }
});