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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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:

.


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  • .

  • .

  • (MCDM) . .


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Multiple Criteria Decision Making

Multiple Objective Decision Making

Multiple Attribute Decision Making

MADM:

MODM:


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(MODM)

  • .


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(DM)

MODM

  • DM

  • DM

  • DM


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(MADM)

  • .


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  • MADM

    • (Non Compensatory)

    • (Compensatory)


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MADM

  • .

  • ( )


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AHP

(Analytical Hierarchy Process-AHP) 1980 . .


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AHP

  • (Reciprocal Condition)

  • (Homogeneity)

  • (Dependency)

  • (Expectations)


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A B n B A n/1 .


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A B . A B .


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.


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.


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A,B,C . :


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A

B

C


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: .


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: ( )


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:


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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


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. .

_ _ _


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()

1

2

n

...

1

2

n

...

1

2

...

n


L k v f s

: L :K :V :F :S

S

F

V

K

L

C

A

B


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:

  • ( local priority (

  • ( overall priority)


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  • ( least squares method )

  • (logarithmic least squares method)

  • (Eignevector method)

  • (Approximation method)


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( )

( )

:

St:


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:

: wl

:n=2


Logarithmic least squares method

(logarithmic least squares method)

:

:

:


Eigenvector method

(Eigenvector Method):


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:

:

{ } .


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:

  • A .

  • .

  • .

  • .


Approximation method

ApproximationMethod( )


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:


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:


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:


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:


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:


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.


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n :

.

:

A .


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:

C

B


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:

:

:


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  • :


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:

.

:


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1. A .

2. W .

3. :

1-3- W A

2-3- W .

3-3- .

4 . :

5. :


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.

12: :


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3: .

3-1-

3-2-

3-3-


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4:

5:

0.017 0.1 .


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. . . .


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

(P (

)L (

(A (


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:

A

L

P

X

Y

X

Y

X

Y


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:

:


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:

:


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:


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0.1 .


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(Additive Utility Function)

  • AHP .


Cdv composite distance value

CDV(Composite Distance value)

:

  • AHP .

  • x* . x* x* . .


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DEA

:

  • ...

  • .....

    :


Tradeoff

Tradeoff

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


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