The value you store in your component property multiSelect should be an array of the selectable values you want to be checked:
For example (following your data set):
this.multiSelect = ['x-b', 'rt-builder', 'max']
Whereas for “simple” select fields (single choice)
<q-select ... v-model="selectedValue" :options="options" />
you simply do
this.selectedValue = 'identifier'
Answered here too:
https://stackoverflow.com/questions/47035330/editing-the-selected-option-in-the-select-dropdownq-select-of-quasar-framewor/48227687#48227687