1.NounThe supposed honor of being selected to do a difficult or unpopular task or the supposed honor associated with receiving a questionable award.
""I have the dubious honor of being in charge of fundraising for roof repair on the town youth gymnasium." Meaning, it's an honor to be tasked yet something unwanted.; "The big league athlete had the dubious honor of being voted 'Most Difficult to Interview' by the sportswriters." An ironic honor, so to speak."