Is it a Phat or middle-generation slim? If it's a super slim I've never worked on one of those so some of the info below might not be good.
Have you tried safe mode:
Option 3 Restore File System
Option 4 Rebuild Database
Does it do it to any other game you've played recently? Does it only do it in multiplayer?
It could be the BluRay laser... I've replaced about a dozen for people. Both of my PS3's I had put new lasers in... and one died again, just use it for digital or I suppose "used" very lightly used... I'm a magnet for free things that don't work... and I cannot pass up a 20$ broken system... The ones I've seen do it usually straight out fail... depending on the model some had two lenses (DVD and BluRay) while others were combinations.
You could take your HD out, put it in your computer and use something like SeaTools to see if it has any errors... it'll read it's SMART then gives the option for Short or Long tests.
You could completely reformat the HD from safe mode and start over.. back up your saves and stuff.. downloads will take awhile though if you have a lot of digital games ☹️
Is it in an open area where it can breathe? Is it older so has build up of dust?
I really dislike the cooling system on the PS3 at stock or rather I dislike how fast they spin the fans at temps... I think it lets it burn... I put voltagage control knob on the fan and take the snippers to all that plastic I don't like on the inside.
** I have temp guns and special tools/software for testing such things.. I'm not pulling it out of my butt** I'm a nut about cooling.... I'm the guy who thermal glues chipset heatsinks on any chip I can find... in the PS3's cases I use thermal pads that contact the mobo's casing.
Sorry for writing you a book... most of it is probably not useful to you.. especially if it's ONLY BF4 multiplayer doing it. Other wise my money would be on HD or BluRay lens.
Good luck.