But is creditworthiness really sexy?

"When we first started (CreditScoreDating.com), people thought it was kind of goofy," Green says. "Of course, the economy and everything else was going great. But by 2008, things got very treacherous, and it started to make a lot more sense. And we started to get a lot more members."

Green even has a book coming out next month called "Credit Score Dating: The Phenomenon/The Sexiness of Credit."

There is some evidence to back up the notion of creditworthiness as 21st-century kindling for romance. In its "Credit Score and Dating Report" issued last year,FreeCreditScore.com said 96 percent of women surveyed found financial responsibility attractive in a potential romantic partner, more than those saying they were drawn to physical attractiveness (87 percent) or career ambition (also 87 percent).

Further, credit scores are significantly more important to women (75 percent) than men (57 percent).

"What makes it more comfortable as a measure is that it's agnostic to wealth," says Ken Chaplin, a senior vice president at FreeCreditScore.com. "It's more about the person's character and how responsible they are."

Not All There Is

Although having similar credit scores could theoretically increase the chances of compatibility, it does not work that way in real life, says Los Angeles-based psychiatrist Carole Lieberman, author of "Bad Girls: Why Men Love Them & How Good Girls Can Learn Their Secrets."

"People who go to a dating site based on credit scores are putting an emphasis on financial compatibility over other aspects of relationships that are at least equally important, if not more important," Lieberman says.

Well, at least they are not paying anything for the privilege thus far. CreditScoreDating.com is free to join, although Green plans to start charging a monthly subscription fee in the summer, in conjunction with a website revamp and a new smartphone app.