Based　on　the　current　developments　of　fuzzy　weighted　average　and　generalized　fuzzy　weighted　average,　especially　Karnik-Mendel　(KM)　algorithms　and　the　works　of　Wang　and　Luo　(Generalised　fuzzy　weighted　mean　and　its　applications,　International　Journal　of　General　Systems,　2009,　38,　533-546),　the　paper　analyses　some　properties　of　the　generalized　fuzzy　weighted　mean　(GFWM)　and　proposes　analytical　solution　method　for　the　GFWM　problem.　The　solution　processes　and　the　final　solution　forms　are　more　simple　and　accurate　than　the　current　GFWM　solution,　which　use　samples　of　the　alpha-cuts　and　get　the　final　solutions　approximately.　Numerical　examples　illustrate　the　analytical　solution　computing　processes　for　fuzzy　weighted　average　(FWA),　fuzzy　weighted　harmonic　mean　(FWHM),　fuzzy　weighted　geometric　mean　(FWGM)　and　GFWM　with　exponential　and　power　functions,　respectively.