The 42-year-old singer, who is currently mired in a bitter divorce dispute with ex husband Stephen Belafonte, said her father's death gave her the "clarity and strength" to get her life back on the right track.
Mel lost her father, Martin Brown, to cancer in March.
"The pain of loosing my daddy is beyond anyone could ever understand, but in the mist of all my raw emotions and pain of his passing he gave me the clarity and strength to set my life on the right track.
She continued, "And no matter what anyone says or anyone does I will ALWAYS and forever only live this way so I hope you forgive me for my mistakes and trust in me that my eyes are now wide open and I want to do you proud from here on.