The four-time major winner said skipping the tournament in Lahinch, in the Republic of Ireland, would give him a better chance of winning the Open, which is returning to Northern Ireland for the first time since 1951.
The 22nd edition of the Commercial Bank Qatar Masters, which gets underway at Doha Golf Club on March 7th.
Woods told reporters Wednesday that he was still getting to grips with playing at high altitude, toying with the idea of adding loft to his three-wood and learning just how he needs to adjust his game.
Ireland's Padraig Harrington was named European captain last month.
Woods owns a record 18 WGC titles from nine different locations worldwide.
The overall partnership will support the development of golf in Qatar by encouraging new golfers to have an active and healthy lifestyle.
The world number 16 American has been the form player of recent months, and has now scored two wins and two other top three finishes in her last five events.
Thomas and Australia's Scott shared the 36-hole lead on 11-under par after both completed six-under par 65s in the rain-delayed second round.
Poland’s Adrian Meronk wins the professional category.
The top 24 players qualifying for Sunday will now go head-to-head in six hole knockout matchplay to decide a winner at the Lake Karrinyup Country Club.
Tournament host Tiger Woods made little headway on the marathon day, struggling with the putter in a one-under first round and still one-under, tied for 55th, through 12 holes of the second.
The 20-year-old American takes a handy cushion into the final day ahead of Japan's Naru Nomura, whose round was marred by a bogey on the 16th.
Mateusz Gradecki carded an impressive 67 on Friday to move to second.
Filipino Miguel Tabuena, the joint overnight leader, had a day to forget, following up his opening round 65 with an error-strewn 78 to just make the cut.
World number one Ariya Jutanugarn rallied to make the cut.