belonging vs closeness

belonging and closeness both are nouns.

Word	Noun	Adjective	Verb	Adverb
belonging	Yes	No	No	No
closeness	Yes	No	No	No

As nouns, closeness is a hyponym of belonging; that is, closeness is a word with a more specific, narrower meaning than belonging:

Other hyponyms of belonging include comfortableness, intimacy.

belonging (noun)	closeness (noun)
happiness felt in a secure relationship	the spatial property resulting from a relatively small distance
	characterized by a lack of openness (especially about one's actions or purposes)
	the quality of being close and poorly ventilated
	close or warm friendship
	extreme stinginess
	a feeling of being intimate and belonging together