This looks like a problem in the field of statistics. In essence, correlations between interests of participants would have to be quantified and calculated. Also, the likelihood of a date being successful could be calculated, and then optimal matches predicted. I did a similar project for another purpose, though the statistical ideas and methods were the same. I am expert in probability and statistics with a PhD degree. Please see reviews on my profile. It would be my pleasure to work on your project. Please contact me to discuss it in more detail.
Here are some of my recent projects in Probability and Statistics:
https://www.freelancer.com/jobs/Electrical-Engineering/Engineering-Probability/
https://www.freelancer.com/projects/Mathematics/Short-Probability-problem.html
https://www.freelancer.com/projects/Mathematics/Detail-each-mathematical-step-developing.html