1. A computer-based system for presenting interpersonal relationship analysis and optimizing potential match recommendations for a plurality of users, comprising: a matching server, operatively coupled to the public network, including a processor, a match profile database storing match profiles for each of the plurality of users in non-transitory computer memory and an empirical database storing empirical data for each of the plurality of users in non-transitory computer memory; and a first user device having a user interface and operatively coupled to a public network that is configured to: present selected stimuli to a first user via the user interface; monitor at least one biological reaction to the selected stimuli from the first user; transmit first data based on the at least one biological reaction to the selected stimuli to the matching server; receive from the matching server and present, via the user interface, at least one selected potential match to the first user; and transmit a satisfaction indicator selected by the user to the matching server, wherein the processor of the matching server selects the at least one potential match by: identifying at least one non-self-reported psychological trait based on the at least one biological reaction to the selected stimuli; identifying a comparable user based on empirical data for the comparable user that is stored in the empirical database; calculating a compatibility value between the first user and the potential match using the identified non-self-reported psychological trait, empirical data for the first user and the empirical data for the comparable user; comparing the compatibility value to a threshold; if the compatibility value exceeds the threshold, selecting the potential match for presentation to the first user; and updating the empirical data for the first user based on the satisfaction indicator received from the first user device; wherein monitoring the first user's biological reaction includes monitoring the user's pulse or heart rate during stimuli presentation.