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A hyponym is a word or phrase whose semantic field is included within that of another word.
A meronym denotes a constituent part of, or a member of something
It can be said that "parents" is not just a plural form of "parent", it is lexicalized, since expresses such as "two parents", "some parents" are not normally used, and "parents" refers always to the mother and the father of someone.
The question becomes thus: Is "parent" a type of or a part of "parents"?
None of them, nor meronym nor hyperonym. Because they are the same word, they share the same meaning.
Signified of parent is : idea of parent + idea of singular (zero form)
Signified of parents is : idea of parent + idea of plural
So, this kind of classification cannot be applied to things that denominate the same thing. That goes also for plurals realised by suppletion.
I would say a meronym.
The rule of thumb for a hyponym is, "is every X a Y? is not every Y an X?" For example, every cat is an animal, but not every animal is a cat, so cat is a hyponym of animal.
In this case, is every parent a parents? Is not every parents a parent? The answer, if we overlook the strange syntax, would have to be no. So it's probably not a hyponym.
(Depending on the semantic theory you're using, it's usually a bit more complicated than this. But this rule of thumb works reasonably well in most of the theories I'm aware of, so it's still valuable.)
On the other hand, every "parents" includes at least one "parent". A "parent" is a part of every "parents" (again overlooking the weird syntax). So it is, according to the rule of thumb, a meronym.
