A hearing officer is still making his mind up about who should be allowed to use the band name Bucks Fizz.
The final decision in the long running dispute will given in five to six weeks.
Members of the Eurovision winning group, Cheryl Baker , Mike Nolan and Jay Aston believe they should have the right to call themselves the original band name.
They are currently touring as The Original Bucks Fizz after the fourth bandmate, Bobby G, used the name to set up another group with three new members.
One of them is his wife, Heidi Manton, who owns the copyright of the name Bucks Fizz .
Evidence from both sides was heard during the hearing at The Intellectual Property Office in London.
It was told how fans had been left "disappointed" after discovering they had booked tickets for a band featuring only one member of the original band.
Meanwhile Bobby G, real name Robert Gubby said he felt entitled to claim his band was the "original" act because it had a "direct connection" right back to when it was first founded.
Comparing the situation with acts like The Drifters and The Supremes, he said bands often had line-up changes throughout the years and this did not mean the public was being deceived.
As Baker went into court, she said: "We hope the right result comes out, for the public, to stop the confusion, and if that result is that we win, then that is how it should be."
Aston said it was a "terrible shame" they found themselves in this position, adding "we shouldn't be here".
Their lawyer, Dean Dunham, was hopeful they would be successful.
He said: "What Bobby G does is nothing like what Bucks fizz was...you can't mislead the great British public, if you do, it is wrong."
While the agent for The Original Bucks Fizz, David Hahn, remarked to Sky News Online: "It is unfair that Bobby G should be operating with three unknowns. It is not fair on the Bucks Fizz fans."
A notice on the website for Bobby G's group says: "Bucks Fizz(R) are solely owned and managed by Heidi Manton.
"The current members of the group, as featured on this site, are the only group authorised to perform under the Registered Trade Mark of Bucks Fizz(R).
"Any other group(s) performing under the name Bucks Fizz are in infringement of the Registered Trade Mark and are not representing Bucks Fizz(R)."
Bucks Fizz formed in 1981 to compete in the Eurovision Song Contest which they won with the song Making Your Mind Up.
Their performance famously included a dance routine where the girls' skirts were ripped off halfway through.
Bucks Fizz are not the first to get into a dispute over band name rights.
Three members of The Bay City Rollers have been forced to tour as Les McKeown's Legendary Bay City Rollers.
While Pink Floyd and Black Sabbath have also been embroiled in similar legal arguments.
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