The Voice coach said that she respected "unapologetic" women like Cyrus and Jump singer Rihanna.
She also told Sky News that her career and lifestyle can make her feel "morose" and lonely at times.
Minogue, 45, said: "I admire people like Miley, like Rihanna, girls that are just... they are quite unapologetic about what they're doing.
"Is it too much? It depends on what your personal taste is. But she's definitely a scapegoat for what might be happening in the broader sense in pop music."
She added: "There's always been sex, drugs and rock and roll. But... the guys seem to get away with it."
Minogue, who split from boyfriend and Spanish model Andres Velencoso in October last year, said that she felt alone at times.
She said: "I definitely have moments where I'm... quite morose. Everyone has to do it, you have to go down sometimes.
"And I can feel quite lonely....my job and my lifestyle is not something that everyone can relate to."
Cyrus sparked headlines with a twerking routine at an awards bash last year, and raised eyebrows again recently when she performed in her underwear during her Bangerz Tour.
She later tweeted her fans to say that she wore the underwear because she did not have time to get changed, writing: "Not a new outfit....I didn't make my quick change and I couldn't not come out for the song so I just had to run out in my undies."