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مقدمه:. تصمیم گیری چند معیاره چست ؟ دنیای اطراف ما مملو از مسایل چند معیاره است و انسان هاهمیشه مجبور به تصمیم گیری در این زمینه ها هستند. برای انتخاب شغل ، درآمد، موقعیت اجتماعی، خلاقیت و ابتکار، تصمیم بر اساس سنجش معیارها

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:

.


  • .

  • .

  • (MCDM) . .



Multiple Criteria Decision Making

Multiple Objective Decision Making

Multiple Attribute Decision Making

MADM:

MODM:


(MODM)

  • .


(DM)

MODM

  • DM

  • DM

  • DM


(MADM)

  • .


  • MADM

    • (Non Compensatory)

    • (Compensatory)



MADM

  • .

  • ( )


AHP

(Analytical Hierarchy Process-AHP) 1980 . .


AHP

  • (Reciprocal Condition)

  • (Homogeneity)

  • (Dependency)

  • (Expectations)


A B n B A n/1 .


A B . A B .


.


.



A,B,C . :


A

B

C




: .


: ( )


:









A

0.398*0.123+0.085*0.087+0.218*0.593+0.299*0.265=0.265

B

0.398*0.320+0.085*0.274+0.218*0.341+0.299*0.655=0.421

C

0.398*0.557+0.085*0.639+0.218*0.066+0.299*0.080=0.314



. .

_ _ _


()

1

2

n

...

1

2

n

...

1

2

...

n


: L :K :V :F :S

S

F

V

K

L

C

A

B


:

  • ( local priority (

  • ( overall priority)


  • ( least squares method )

  • (logarithmic least squares method)

  • (Eignevector method)

  • (Approximation method)


( )

( )

:

St:


:

: wl

:n=2


(logarithmic least squares method)

:

:

:


(Eigenvector Method):


:

:

{ } .


:

  • A .

  • .

  • .

  • .


ApproximationMethod( )


:


:


:


:


:


.



n :

.

:

A .


:

C

B


:

:

:


  • :


:

.

:


1. A .

2. W .

3. :

1-3- W A

2-3- W .

3-3- .

4 . :

5. :


.

12: :


3: .

3-1-

3-2-

3-3-


4:

5:

0.017 0.1 .


. . . .


XY : (L) (P) (A) .

(P (

)L (

(A (


:

A

L

P

X

Y

X

Y

X

Y


:

:


:

:


:


0.1 .


(Additive Utility Function)

  • AHP .


CDV(Composite Distance value)

:

  • AHP .

  • x* . x* x* . .


DEA

:

  • ...

  • .....

    :


Tradeoff

(Trade-off) . ( DG ) (trade-off) ( ) . ( ) .


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