[noun] + に基づいて [noun] + に基づき (formal/written)
[noun] + に基づいた + [noun] (noun modification) [noun] + に基づく + [noun] (noun modification)
に基づいて is used to express that something is done based on or on the basis of a certain foundation, such as facts, rules, data, experience, or principles. It attaches to nouns and conveys that the action or decision that follows has a solid, legitimate basis.
When modifying a noun directly, にもとづいて基づいて changes to に基づいた or に基づく.
Both にもとづいた基づいた and にもとづく基づく can modify nouns, with にもとづく基づく being slightly more formal.
This expression is relatively formal and is commonly found in academic writing, news articles, legal contexts, and business settings. It implies that the basis is something objective and authoritative – facts, laws, research, data, plans, etc. – rather than personal feelings or vague reasons.
Compare with ~をもとに, which also means "based on" but can be used more broadly and casually. にもとづいて基づいて carries a stronger nuance of adhering to rules, principles, or established foundations, while をもとに is more flexible and often implies using something as raw material or inspiration.