pettiness vs narrow-mindedness

pettiness and narrow-mindedness both are nouns.

Word	Noun	Adjective	Verb	Adverb
pettiness	Yes	No	No	No
narrow-mindedness	Yes	No	No	No

As nouns, narrow-mindedness is a hypernym of pettiness; that is, narrow-mindedness is a word with a broader meaning than pettiness:

pettiness: narrowness of mind or ideas or views
narrow-mindedness: an inclination to criticize opposing opinions or shocking behavior

Other hypernyms of pettiness include narrowness.

pettiness (noun)	narrow-mindedness (noun)
the quality of being unimportant and petty or frivolous	an inclination to criticize opposing opinions or shocking behavior
lack of generosity in trifling matters
narrowness of mind or ideas or views