I ask this question independently of ESP. Many articles are described differently.

So,is the following conclusion correct for Fukui functions?

F+→ easily undergo nukleophilic attack (i.e. nukleophilic reagents tend to interact with this site)
F-→ easily undergo electrophilic attack (i.e. electrophilic reagents tend to interact with this site)

As for your figure, this statement is approximately correct:
Red colour areas: negative ESP → electronically rich → nucleophile (proton-loving) → easily undergo electrophilic attack (i.e. electrophilic reagents tend to interact with this site)

Which of the following(1 or 2) is true that relationship between the red and blue regions of the MEP map and the fukui functions?

1. Red colour areas: electronically rich→nucleophile (proton-loving)→nucleophilic attack→f+ (fukui) values are positive and high
    Blue colour areas: electronically poor→electrophile (electron-loving)→electrophilic attack→f- (fukui) values are positive and high

Or

2. Red colour areas: electronically rich→nucleophile (proton-loving)→electrophilic attack→f- (fukui) values are positive and high
    Blue colour areas: electronically poor→electrophile (electron-loving)→nucleophilic attack→f+ (fukui) values are positive and high

Best Regards