The logic is that I end up winning in about half the games I vote no to the surrender. People are way too quick to give up. There is a lot more to the game than "they have some fed people." You have to look at team comps, towers, rank, etc. If the enemy Draven and Blitzcrank start off 6/0 and my Lulu and Kog'Maw are 0/6, that doesn't automatically mean the enemy is going to win. My bottom lane will outscale the enemy bot lane as long as the Nexus is alive long enough. Until the nexus dies, I will not surrender that game thus I will never surrender that game. If the enemy has a 20/2 Katarina while the team score is 24/3, I will not surrender. All it takes is one good stun and half of the enemy team's gold goes down the toilet for 45 seconds.
This is different than if the enemy has a 20/2 Olaf. I will surrender that every time because he can survive being stunned and can't be stunned during his ult. I will surrender if the enemy Jinx and Janna starts off 6/0 because they actually scale into late game. I will surrender If the enemy has 3 dragons and gets an elder dragon. I will surrender if the enemy gets baron and we have 2 inhibitors down. I will never surrender because some child on me team doesn't like a little adversity and thinks the game is only fun when they are ahead.