Adaptive intelligence is an ability that allows all of living organisms to make adaptive behavior in environment. This is an innate biological function that creates novel state of relationship from old state between self and other/environment, which may provide maximal benefit to self with minimal risk, through interactive communication. Such novel relationships are generated at every moment and everywhere in the world and are built into relationship network made by enormous amount of previously established relationships. Our brain can understand rules of behavior at the moment that are described in the network structure and make adaptive behavior. Our team pursues understanding brain mechanism in terms of cognitive functions based on relationships. The mechanism will be incorporated into artificial support system for better communication between people.