Όσον αφορά το complicated νομίζω δεν χρειάζεται συζήτηση. Το ambivalent είναι πολύ εύστοχο και θα ταίριαζαν κι άλλα.

"As Bauman (1999) points out, culture is an ambivalent concept and involves inventing and preserving, continuity and discontinuity, routine and breaking the mold …"

https://scholar.google.gr/scholar?hl=el&as_sdt=0,5&q="ambiva...

Ίσως τα επίθετα controversial ή και debatable/ -ed να απέδιδαν καλύτερα το "διχασμένη" στο συγκεκριμένο περιεχόμενο.

"Intercultural Competence: The Status and Future of a Controversial Concept"

https://nca.tandfonline.com/doi/abs/10.2167/laic285.0#.WrNt2...

Greek term (edited): πολύπλοκη

I would use complex instead of complicated as this would fit with both εννοια προσωπικοτητα.

Possibly multi-faceted if you want a play on multiple personality disorder without referring to the disorder itself. (see my discussion entry on διχασμενη). However I think διχασμενη προσωπικοτητα would normally also cover multiple personality disorder so πολυπλοκη probably means complex both psychologically and otherwise in this case.

There is a divided opinion on the complex notion of 'Personality'.....

MY suggestion is, for the phrase to be 'syntaxed' as above.

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Note added at 6 days (2018-03-28 10:29:38 GMT)
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Analogy of the divided line
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The Analogy of the Divided Line (Greek: γραμμὴ δίχα τετμημένη) is presented by the Greek philosopher Plato in the Republic (509d–511e). It is written as a dialogue between Glaucon and Socrates, in which the latter further elaborates upon the immediately preceding Analogy of the Sun at the former's request. Socrates asks Glaucon to not only envision this unequally bisected line but to imagine further bisecting each of the two segments. Socrates explains that the four resulting segments represent four separate 'affections' (παθήματα) of the psyche. The lower two sections are said to represent the visible while the higher two are said to represent the intelligible. These affections are described in succession as corresponding to increasing levels of reality and truth from conjecture (εἰκασία) to belief (πίστις) to thought (διάνοια) and finally to understanding (νόησις). Furthermore this Analogy not only elaborates a theory of the psyche but also presents metaphysical and epistemological views.

This analogy is immediately followed by the Analogy of the Cave at 514a. Socrates returns once more to the elements of the divided line (533d-534a) as he summarizes his dialectic.

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Note added at 6 days (2018-03-28 19:17:07 GMT)
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The only change I could make, here, is to say, 'there is divided opinion....' instead of, 'there is a divided opinion...'