I think you will have to combine two dashboard nodes to get the formats you wish.
Here is a simple example of how you could use ui-Datepicker with ui-Dropdown to get the output you wish.
[{"id":"ce016f13.d322c8","type":"ui_dropdown","z":"c791cbc0.84f648","name":"","label":"type","tooltip":"","place":"Select option","group":"b9d366f18ff7ae74","order":3,"width":0,"height":0,"passthru":true,"multiple":false,"options":[{"label":"DD/MM/YYYY","value":"DD/MM/yyyy","type":"str"},{"label":"MM/YYYY","value":"MM/yyyy","type":"str"},{"label":"YYYY","value":"yyyy","type":"str"}],"payload":"","topic":"pattern","topicType":"str","x":110,"y":840,"wires":[["7e222590.96d6f4"]]},{"id":"7e222590.96d6f4","type":"join","z":"c791cbc0.84f648","name":"","mode":"custom","build":"object","property":"payload","propertyType":"msg","key":"topic","joiner":"\\n","joinerType":"str","accumulate":true,"timeout":"","count":"2","reduceRight":false,"reduceExp":"","reduceInit":"","reduceInitType":"","reduceFixup":"","x":270,"y":860,"wires":[["d49d158f.301768"]]},{"id":"4008c433.47e9ac","type":"ui_date_picker","z":"c791cbc0.84f648","name":"","label":"date","group":"b9d366f18ff7ae74","order":4,"width":0,"height":0,"passthru":true,"topic":"date","topicType":"str","x":110,"y":900,"wires":[["7e222590.96d6f4"]]},{"id":"d49d158f.301768","type":"change","z":"c791cbc0.84f648","name":"","rules":[{"t":"set","p":"payload","pt":"msg","to":"$moment($$.payload.date).format($$.payload.pattern)","tot":"jsonata"}],"action":"","property":"","from":"","to":"","reg":false,"x":440,"y":860,"wires":[["8590d7c7.6d8108"]]},{"id":"8590d7c7.6d8108","type":"debug","z":"c791cbc0.84f648","name":"","active":true,"tosidebar":true,"console":false,"tostatus":false,"complete":"true","targetType":"full","statusVal":"","statusType":"auto","x":510,"y":960,"wires":[]},{"id":"b9d366f18ff7ae74","type":"ui_group","name":"test","tab":"ffba43d73860d25d","order":1,"disp":true,"width":"6","collapse":false},{"id":"ffba43d73860d25d","type":"ui_tab","name":"Level","icon":"dashboard","order":3,"disabled":false,"hidden":false}]
or a ui-Form, the output uses the first checkbox that is checked, counting from top to bottom . So if you check two the first is the one used.
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