21 January 2016 Last updated at 09:36 GMT
Aidan McAnespie, 23, was shot dead at Aughnacloy on 21 February 1988.
Manslaughter charges brought against a soldier were dropped in 1990.
Mr McAnespie's brother, Sean, spoke to BBC News NI's home affairs correspondent Vincent Kearney.

Daniel and Samuel Sledden mocked Judge Beverley Lunt on Facebook after admitting drug dealing charges.
Daniel, 27, posted within 90 minutes of leaving Burnley Crown Court, while Samuel, 22, made offensive remarks 40 minutes after he left the dock.
Judge Lunt said the pair had not "learned any responsibility".
The judge said: "The question I have to ask myself is this, if I had not known their real feelings at being in court would I have accepted their remorse and contrition, and suspended the sentence. And the answer is of course not.
"Each of the posts indicate they have not changed at all. They have not taken on board anything or learned any responsibility."
Both men, from Accrington had admitted supplying cannabis from the family home in Hopwood Street between May and September 2014 and were initially given two-year jail sentences, suspended for two years.
Daniel Sledden used obscene language in a message he posted online and said he could not believe his luck at getting a suspended sentence.
It "beats the three year jail, yes pal", he wrote.
His brother also used profanity when celebrating: "What a day it's been Burnley Crown Court..nice two year suspended".
Earlier this month, Judge Lunt told the court she did not want to read the messages out which contained "offensive sexual elements".

Donald Trump's running mate, a long-time opponent of Planned Parenthood, will be sent a gift certificate for every donation.
The campaign began in 2011 when as an Indiana congressman he introduced several anti-abortion measures.
They included the first bill to strip the provider of all federal funding.
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In March this year, as Indiana governor, Mr Pence signed an anti-abortion bill that is seen as one of the most restrictive in the US, barring abortion in Indiana on the basis of disability, gender or race of the foetus.
Parts of that law were blocked by the courts, but not until after a social media backlash which saw women phoning or tweeting Mr Pence details about their menstrual cycles under the hash tag #periodsforpence.
There had already been a significant rise in gifts to the country's biggest abortion provider in the wake of Mr Trump's election last week.
But then over the weekend, many women went on social media to say they had made a donation in Mike Pence's name.
Mike Pence's anti-abortion stance mirrors that of President-elect Trump, who wants to cut funding to Planned Parenthood, and who has in the past said women should be punished for undergoing an abortion if it were made illegal, though he later withdrew the statement.
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Planned Parenthood hasn't commented in detail on the post-election trend of donating in Mr Pence's honour.
But the organisation said on social media they had been "blown away by the support" and acknowledged that many people are donating in both Mike Pence's and Hillary Clinton's names.
The vice president-elect has so far not commented on being the nominal donor of thousands of dollars to the organisation.
A decision not to prosecute a soldier who shot dead a Catholic man at a border checkpoint in County Tyrone nearly 30 years ago could be reversed.
[NEXT_CONCEPT]
Two drug dealing brothers taken back to court for mocking a judge on Facebook when she decided not to jail them have now been jailed for two years.
[NEXT_CONCEPT]
Donations to US family planning organisation Planned Parenthood in the name of Vice President-elect Mike Pence have surged.