Synonyms of the word

so-called

• adj. (idiomatic) So named, but wrongly so.
• adj. (mathematics, sciences) So named.

alleged

• v. simple past tense and past participle of allege.
• adj. Asserted but not proved.
• adj. Supposed but doubtful.

questionable

• adj. (obsolete) Inviting questions; inviting inquiry.
• adj. Problematic; open to doubt or challenge.
• adj. Of dubious respectability or morality.

supposed

• v. simple past tense and past participle of suppose.
• adj. Presumed to be true, but without proof.
• adj. (with infinitive) Generally considered or expected.
• adj. (with infinitive) Having an obligation.
• adj. (with infinitive) Intended.