Bash Date Usage For Naming

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# cat test_class.sh
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HOSTNAME=$(hostname -s)
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BACKUP_CLASSIFICATION="UNCLASSIFIED"
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function retention_date() {
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  MM=`date -d ${1} +%m`
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  DD=`date -d ${1} +%d`
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  DAY=`date -d ${1} +%u`
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  if [ $DD == 01 ]
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  then
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     if [ $MM == 01 ]
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     then
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       BACKUP_CLASSIFICATION="YEARLY"
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     else
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       BACKUP_CLASSIFICATION="MONTHLY"
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     fi
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  else
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    if (($DAY == 7)); then
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     BACKUP_CLASSIFICATION="WEEKLY"
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    else
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     BACKUP_CLASSIFICATION="DAILY"
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    fi
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  fi
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}
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function retention_today() {
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  MM=`date '+%m'`
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  DD=`date '+%d'`
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  DAY=`date +%u`
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  if [ $DD == 01 ]
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  then
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     if [ $MM == 01 ]
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     then
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       BACKUP_CLASSIFICATION="YEARLY"
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     else
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       BACKUP_CLASSIFICATION="MONTHLY"
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     fi
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  else
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    if (($DAY == 7)); then
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     BACKUP_CLASSIFICATION="WEEKLY"
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    else
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     BACKUP_CLASSIFICATION="DAILY"
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    fi
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  fi
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}
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echo "TEST TODAY"
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DATE=`date +%Y-%m-%d`
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retention_today
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echo $HOSTNAME-$BACKUP_CLASSIFICATION-$DATE
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echo
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echo "TEST SPECIFIC DATES"
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testD=(
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 '2018-01-01'
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 '2018-02-02'
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 '2018-03-01'
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 '2018-02-06'
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 '2018-07-14'
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 '2018-07-15'
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)
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for D in "${testD[@]}"
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do
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  DATE=`date -d ${D} +%Y-%m-%d`
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  retention_date $D
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  echo $HOSTNAME-$BACKUP_CLASSIFICATION-$DATE
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done