<ul ng-repeat="country in countries | filter:memberId = 1">
   <li>
      {{country.Name}}
   </li>
</ul>

$scope.countries = [
            {
              "Name" : "UK",
              "memberId" : ["3"]
            },
            {
              "Name" : "USA",
              "memberId" : ["2"]
            },
            {
              "Name" : "Mexico",
              "memberId" : ["1", "4"]
            },
            {
              "Name" : "Germany",
              "memberId" : ["1", "3"]
            },
            {
              "Name" : "Canada",
              "memberId" : ["1", "4"]
            }

        ]