You say ''Don't copy Yahoo字典'' so I try to give you the English version.
Hope can help you!
foggy:
1.if the weather is foggy, there is fog:
a foggy day in November
2 [not have the foggiest (idea)][spoken]to not know at all:
None of us had the foggiest idea about how to put the tent up.
3if your mind is foggy, you cannot think or remember things clearly
* fog:cloudy air near the ground which is difficult to see through
* In the dictionary when i find fog, it said that is equal to mist
hazy:
1air that is hazy is not clear because there is a lot of smoke, dust, or mist in it:
hazy sunshine
2an idea, memory etc that is hazy is not clear or exact:
My memories of the holiday are rather hazy.
misty:
1misty weather is weather with a lot of mist:
a cold, misty morning
2 [literary]if your eyes are misty, they are full of tears, especially because you are remembering a time in the past:
He paused, his eyes growing misty.
Whenever Maria sees a picture of her mother, she getsmisty-eyed.
3not clear or bright:
Without my glasses everything is just a misty blur.
*mist:a light cloud low over the ground that makes it difficult for you to see very far