//initialize
$('#mySelect2').select2('data');
//get selected value
$('#mySelect2').find(':selected');
Example 2: get value select 2
//get selected value
$('#mySelect2').find(':selected').val();
Example 3: select 2 select a value
SELECT2 V4 :
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For select2 v4 you can append directly an option/s as follow:
Or with JQuery:
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var $newOption = $("").val("TheID")
.text("The text")
$("#myMultipleSelect2").append($newOption).trigger('change');
other example :
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$("#myMultipleSelect2").val(5).trigger('change');