The　purpose　of　this　paper　is　to　develop　a　linear　programming　methodology　for　solving　multiattribute　group　decision　making　problems　using　intuitionistic　fuzzy　(IF)　sets.　In　this　methodology,　IF　sets　are　constructed　to　capture　fuzziness　in　decision　information　and　decision　making　process.　The　group　consistency　and　inconsistency　indices　are　defined　on　the　basis　of　pairwise　comparison　preference　relations　on　alternatives　given　by　the　decision　makers.　An　IF　positive　ideal　solution　(IFPIS)　and　weights　which　are　unknown　a　priori　are　estimated　using　a　new　auxiliary　linear　programming　model,　which　minimizes　the　group　inconsistency　index　under　some　constraints.　The　distances　of　alternatives　from　the　IFPIS　are　calculated　to　determine　their　ranking　order.　Moreover,　some　properties　of　the　auxiliary　linear　programming　model　and　other　generalizations　or　specializations　are　discussed　in　detail.　Validity　and　applicability　of　the　proposed　methodology　are　illustrated　with　the　extended　air-fighter　selection　problem　and　the　doctoral　student　selection　problem.　(C)　2010　Elsevier　Inc.　All　rights　reserved.