Following two closed meetings, a special committee of the Fairfax County Board of Supervisors held a brief public meeting Wednesday on the much-discussed plan to build a new county government center west of Fairfax City. No decision was reached at the meeting, which came after objections were raised to the private sessions.

The four-member committee, whose earlier sessions centered on whether to enter into a joint venture with a developer to fund the proposed government complex, dealt primarily with the issues of how much parking would be required and which county offices would be transferred to the new site, near Fair Oaks Mall.

The new government center, if approved by county officials, will be built on a 183-acre county-owned property near the intersection of Rtes. 50 and I-66. The county is considering a move because its current offices, most of which are in Fairfax City, have limited access because of severe traffic and parking problems.

The primary funding mechanism under discussion is a plan under which a developer would build the new center in exchange for a still-undetermined portion of the county-owned tract. That proposal has encountered opposition from Supervisor Audrey Moore (D-Annandale), who said last week that she feared the county would come out on the short end financially in such a land swap.

One of those supporting the idea is Supervisor Thomas M. Davis III (R-Mason). "Obviously, the land transfer is the better way to go," Davis said after the public meeting. He said that financing the center in that manner would avoid the necessity of floating a bond issue and cutting into the funds available for schools and roads.