his damages are :
470+2 AP , 590+2.2 AP if we count his ulti
fizz has 720+1.75 AP with his E+R , not counting his Q+ W+ His R DFG
310+245+280= 835+2.4 AP not counting her R
even ahri has more damage. Kassadin's damage are quite low for an assassin.
CerealBoxOfDoom4 votesassassins are not defined by the amount of damage they deal. It goes alot deeper than that
Ahristocats1 votesthey are mobile right? means that 
is an assassin, 
is an assassin.
assassins's damage are able to oneshto a carry. black cleaver lucian has 2200 hp or sometime more. 590+2.2 AP won't be enough to kill him
EndlessSorcerer1 votesBoth are tagged as assassins, so that is kind of the intention.
Ahristocats1 votesthen it's retarded as hell. i can see yi being an assassin, but not jax.
CerealBoxOfDoom1 votesBoth are tagged as assassins, so that is kind of the intention.
the tags are just meant for new players who probably don't even know what an assassin is.
edit
watch a bronze V game and you'll see where the tags make more sense for baddies and noobs
CerealBoxOfDoom1 votes[{quoted}](name=playfive Koopska,realm=EUW,application-id=3ErqAdtq,discussion-id=lyOe6yA1,comment-id=00000000,timestamp=2016-05-29T22:18:57.109+0000)
they are mobile right? means that
more than that, they are also designed to force themselves onto otherwise untouchable targets completely bypassing the enemy front line.
but then they are also designed to do this safely or semi-safely rather than depend on heavy natural defenses to escape. Those that use the latter are called fighters.
behaves more like a melee adc, blocks enemy attacks and stuns the target then deals sustained damage with occasional burst relying on his defensive steroid to stay alive. He does kindof hop away sometimes. He could be called a fighter/assassin but really he's just a fighter
behaves more like a melee adc, rather than the front-ended damage of an assassin he just tries to speed his way into a fight and just wail on someone until they die dealing heavy sustained damage. He will dodge alot of damage by using the damage reduction on his heal or by becoming untargetable during his Q. He has some assassinlike traits but for the most parts he is far from. His kit isnt designed to take out a specific target.
