A　new　method　is　proposed　to　solve　multiple　attribute　group　decision　making　problems　with　linguistic　assessment　information.　In　the　method,　the　two-tuple　linguistic　representation　developed　in　recent　years　is　used　to　aggregate　the　linguistic　assessment　information.　According　to　the　traditional　ideas　of　project　method,　the　optimal　alternative(s)　is　determined　by　calculating　the　project　values　of　every　alternative　and　positive　ideal　solution　and　negative　ideal　solution.　It　is　based　on　the　concept　that　the　optimal　alternative　should　have　the　largest　degree　of　relative　closeness　from　positive　ideal　solution.　The　method　has　exact　characteristic　in　linguistic　information　processing.　It　avoided　information　distortion　and　losing　which　occur　formerly　in　the　linguistic　information　processing.　Finally,　a　numerical　example　for　performance　evaluation　of　engineering　cost　management　is　used　to　illustrate　the　use　of　the　proposed　method.　The　result　shows　the　approach　is　simple,　effective　and　easy　to　calculate.