Hai
Is Atlantic International University found in Hawaii a recognized intitution?

They're not accredited. You can read their page on accreditation here (http://www.aiu.edu/Accreditation.html). If by "recognized" you mean, will a degree get you a job, that depends on the job and the employer. If you might go to graduate school some day, you are likely to have a difficult time getting into a program with a degree from a school that's not accredited (and a difficult time getting credits to transfer elsewhere).

Vasily