
gegründet
founded
Refers to the establishment or creation of an organization, company, or city.
Das 1995 gegründete Unternehmen ist heute Weltmarktführer.
The company, founded in 1995, is now the global market leader.
founded / based
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founded
Refers to the establishment or creation of an organization, company, or city.
Das 1995 gegründete Unternehmen ist heute Weltmarktführer.
The company, founded in 1995, is now the global market leader.

based on
Resting on a particular basis or foundation; justified by something.
Sein Verdacht war auf mehrere widersprüchliche Aussagen gegründet.
His suspicion was based on several contradictory statements.
'Gegründet' (founded/based) is the past participle of the verb 'gründen' (to found/base). This verb has two main meanings: 'to establish something' and 'to build something on a basis', which are reflected in the uses of 'gegründet' (founded/based).
Die Europäische Union wurde auf den Prinzipien von Frieden und Zusammenarbeit gegründet.
The European Union was founded on the principles of peace and cooperation.
The preposition 'auf' (on) is a clear signal for the meaning 'based on'. If the preposition is missing and the context is an organization, a company, or a city, the meaning is 'established'.
Die Firma wurde 2005 gegründet.
The company was founded in 2005.
In the meaning of 'based on', 'gegründet' (based) is always used with the preposition 'auf' and the accusative. The structure is: 'gegründet auf + accusative'.
Ihre Anklage ist auf einen falschen Verdacht gegründet.
Her accusation is based on a false suspicion.
well-founded
“gegründet auf” identifies the basis on which a statement or assessment rests. “fundiert” additionally emphasizes that this basis is solid and consists of reliable facts, knowledge, or evidence. For a statement that is demonstrably well supported, fundiert is therefore more appropriate.

Seine Einschätzung ist auf jahrelange persönliche Erfahrung gegründet.
His assessment is based on years of personal experience.
Seine Einschätzung ist durch zahlreiche sorgfältige Studien fundiert.
His assessment is well supported by numerous careful studies.