Ray J's Ex -- Our Other Dogs Cry Daily ... Please Give Boogati Back

Ray J's ex-girlfriend is pleading for the singer to give their dog Boogati back to her ... because their other pooches are so devastated they can't stop crying.

Princess Love tells us she tried her best to keep Boogati during their really bitter break up -- because she's the better canine caretaker -- but it fell on deaf ears.

As we previously reported ... the doggie argument got so bad Ray J's security had to step in and break it up. Ray J won the battle, but the war is still up for grabs.

Princess says their 3 other Malteses shouldn't have to go through a break up as well ... they are heartsick and visitation won't work because things are so acrimonious.