Evaluation subjective

Texte intégral

(1)Evaluation subjective Michel Grabisch. To cite this version: Michel Grabisch. Evaluation subjective. D. Bouyssou and D. Dubois and M. Pirlot and H. Prade. Concepts et Méthodes pour l’Aide à la Décision, Hermès, pp.175-232, 2006. �halshs-00179068�. HAL Id: halshs-00179068 https://halshs.archives-ouvertes.fr/halshs-00179068 Submitted on 12 Oct 2007. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(25) RIØ(RT}<£(f£¢fk*kPFL(Q]RhPUP~£fPk]RhRTfSV«(Q1P>~k}t RDP:P}]fRT}< ]RT~ | PQS~kPRh}]]PkP¹RT®T}LURhSP( RT}]~}fTPLT}~c]LST}X]}fT]~ RTk(kP(}]~ÚR°(P~ ST}z¢fS(URTSVPT]QRTS~£}fT]~ SV}]fS¡<fP(}]~´kP~£TfRh}<~µfP*P]PfP*fÖhf hkTf ¢]UVPf}]SV:TURhSP ( =

(26) ÅPUUPG¹RTS¬ 5 #1./) "1') PQQP}<f(<~ PF]RTÔXS}ÇP UV%°_S; U9 _Ø<:hf~PF¡<fPGU9 °%RhU]RhST}B f},(¢k¦cPL~ PUV(},ßf}BRh S¢fk~ PF¹RhSV~f£(S~ °IRTUVPf~aLkkP~]Rh −1 Êº}f«(R%S¬¹Ï .Êº}]PkPIÏÄPL Ê<~ SVSV¹ÏkÔtP~°IRTUVPf~ I:h± ~ SVSV¹ zPL %}f«<R%SV¹ x¹ºT}< ¢]SVP}B~ Ð]£¹ºP}]PRhkR%©KPL~£:(~SVSV¹aPL }f«(RhSV¹c]UR °IRTUVPf I}]PkP LRh}<NkSVUS~P*¡<]Rh}]UPH~ SQF]UV]~N}fP :TP ]RT~kP °%RhUP]R%¹É± ¹ºPSV°(PHURTSVPÊP*¡<fS:Pkµ~P ]kkfSP£P}7RT¢]~P}]PHkPH(SV}<µfP L¹ºP}LPT<¹c LSV±ÅkP>~~]~Ï>² TfOUVP¦cf«(PQP}< «TUT¢]RTU< f}GT¢k¦cPIT}¹RTS¬ P}~ fSVPµf}1kTQkP kP~~SV«(}fP~´:(~SVSV¹~´PL£}f«(R%S¬¹~ 5C B. 7K. OF>V J N'Z. U. WXZIR J K ZS H[VYO N'VH. U. FI\ [ZIM3M3Z. (]~´P}_°T%Ø(T}]~UVPUPLPf£§ ß L

(27) t:Tf fPfUV~£RhQfUP~kRTSVU~ hPfL± ~ P}<RhST}~ P¢:T}fP§GU# P~~ P}(SVPU9 ¤T}~ SkT}~f}¨P}]~PQG¢fUVPx (¢k¦cPL~ O~ ]UVP>¡<fPUT}¯kL }fS¬1f}fPDPUR%SV(} ÊUVP fU]~´~ (f°TP}<¢fS}]RhSP>Ï % <PUUVP¡<fP %fUV~A«(RT}].¡<fP T I]UV]~´]RT].¡<fP T I]¹ºP § (PhXPf}fPT:R%SV(}B¢fS}]RhSP XÔXPfhhcØ_PDkPU# (RhST} ¢fS}]RhSP1P~ UR L(}]Rh}]R%SV(}X¡<fS<P°_SVP}(]RhPLkPQ∗fUP§QP PfPkT¢f¦cPL~t¢(k ±»§%±Å¢:TkOUV(~¡<fP URPURhST}. S}(³L % P~ | IfU]~«TRh}]D¡<fP T H}7RTfPUVUP UPSfUVP A := (A, %, ∗) f}

(28) ¼ I¼ Î¿Ì¿L%#%]K¿L¬ RT}]~DURÇ~fSVP(a}fT~DLT}~ SkPT}~FP>~~P}<SPUUPQP}<.kP~ ~Ø_~ QP~´PUR%ST}]}fPU~ (A, %) ~RT}]~ÚV(SXkPL(}]Rh}]R%SV(}X Ý»UKP~ ´TQQkkP*X S}<_ffSVP*UVP>~RhSP~H

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(31) (¼»¿ f : A −→ R »¿, Ù ¼ ´ L ¿ ´ ¼ ¿ k V ¿ Î ¿ ] ´ ¼ ¿ ¼ k 7 : Ë Ì % Ì Ì ¿ % Ì < ¿ » % » % L ¿ ¿f¼¿Î½V¿ b ⇔ f (a) ≥ f (b) %. a]%#¿L A/ ∼ 1kx¼Lh_¼ ¿L]¼L¿ÎD½LV¿F%Ì Ù Ì¿ Ù ¿L]¼¿%FË:_¼ Ù LK%ÎD½LÌT½V¿ ;1¿NË:_¼ ¼ k,»¿L f ¿

(32) (¼Å¿ %VhÌ¼ (A, B, f ) ¿¼NkK¿FÀÍf¿ÉV¿%Ì Ù É:%¿ ; ¤P´>~ ]U¬R%aRhf:TP´f}]P(}]~ P§*}fTPµ]PQ1SP´¡(]P~ ST}DfRh}~ UVPR(~ ÔtR ¹º(}]SV(}Ú fSUVSV u ¦c(fPUVPÖTUPkP,U# ]TQTQTffS~Q1P(ÄPL % Pf~Pn}<=P1UR fL¹ºP}]LPkÇ~%¦cPtÞXkP1fUV~UR.¹º(}]SV(} u LRT}<k ]}fSPD§7f}]PFRT}]~c¹º(QDRhST} ~ SLPQP}(£(S~~RT}<P*f>~k(}x(¢kSP}<£f}]PfPUVUPTkSV}RhUPT . 2. lex. i. . i.

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