I want to write:
"We design color-based and size-based models."
Meaning that we design a color-based model and also a size-based model.
Isn't it more appropriate to write:
"We design color/size-based models."?
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You can split the nouns over the same verb complement (where a noun and a verb participle together function as a compound modifier) when the latter is shared and the noun phrases would be joined by a single conjunction (usually and or or):
We design color- and size-based models.
This is equivalent to writing "color-based and size-based models."
Use of the bare dash (no complement) indicates that the reader should be on the lookout for the next "dashed" combination, which will supply the applicable complement.