Fuzzy　weighted　arithmetic　average　or　fuzzy　weighted　average　(FWA)　for　short　has　been　deeply　studied.　However,　no　attention　has　been　paid　to　other　fuzzy　weighted　means　such　as　fuzzy　weighted　geometric　mean　(FWGM),　fuzzy　weighted　harmonic　mean　(FWHM)　and　the　like.　This　paper　presents　a　very　general　fuzzy　weighted　mean,　which　we　refer　to　as　generalised　fuzzy　weighted　mean　(GFWM).　It　includes　FWA,　FWGM,　FWHM,　fuzzy　weighted　quadratic　mean　(FWQM)　and　fuzzy　weighted　root-power　mean　(FWRM)　as　its　special　cases.　Linear　programming　models　for　solving　GFWM　and　its　special　cases　are　developed　and　the　order　relationships　among　FWA,　FWGM　and　FWHM　are　investigated.　Numerical　examples　that　illustrate　the　computational　processes　of　FWA,　FWGM　and　FWHM　are　provided　and　their　order　relationships　are　numerically　examined.