gas cooker vs cooking stove

gas cooker and cooking stove both are nouns.

Word	Noun	Adjective	Verb	Adverb
gas cooker	Yes	No	No	No
cooking stove	Yes	No	No	No

As nouns, cooking stove is a hypernym of gas cooker; that is, cooking stove is a word with a broader meaning than gas cooker:

Other hypernyms of gas cooker include kitchen range, kitchen stove, range, stove.

gas cooker (noun)	cooking stove (noun)
a range with gas rings and an oven for cooking with gas	a kitchen appliance used for cooking food