Yes, I do consider myself intelligent, but I think there are lots of different kinds of intelligence. I also never find myself comparing my intelligence to others' intelligence (or my perception of it) in a more/less kind of way.
I have an absolutely brilliant friend with math skills I can't even comprehend. Her grasp of science & math is so natural and instinctive that she doesn't even consider herself especially brilliant (but she is). She can't find the words she wants to communicate with, this frustrates her. She frequently ooo's and ahhh's over things I've said, and envies my communication skills. I'd willingly trade half my communication ability for half her math/science skills.
I dated a veterinarian who was top of his class at Cornell. He was extremely intelligent, however he was almost completely devoid of imagination, creativity, intuition so despite the fact that he was undoubtedly intelligent, I didn't feel like I could learn anything from him, and he began to frustrate me. I never for one moment thought I was more intelligent than him, just that we had different kinds of intelligence.