Intuitionistic Fuzzy Aggregation Techniques - Intuitionistic Fuzzy Aggregation and Clustering - page 132

κ α j + λ α j ≤ = , ,...,

where 1, j 1 2 m , and

− 1 − κ α j − λ α j n

κ α j + λ α j

1

μ F n

) = μ α j + κ α j π α j

(1.331)

κ α j ,λ α j ( α j

− 1 − κ α j − λ α j n

κ α j + λ α j

1

v F n

) =

v

α j + λ α j π α j

(1.332)

κ α j ,λ α j ( α j

⎛
⎝

⎛

μ α j ρ w j ⎞

1
ρ

m

1

GIFPWAG w (α 1 ,α 2 ,...,α m ) =

⎝ 1

n
α

⎠

( 3 ) − − κ ,

j

j = 1

ρ ⎞
⎠ .

⎛

j v α j ρ w j ⎞

1

m

1 1

⎝ 1

n
α

⎠

1 − − − − λ

j = 1

⎛
⎝

⎛

α j μ α j ρ w j ⎞

1
ρ

m

1

GIFPWAH w (α 1 ,α 2 ,...,α m ) =

⎝ 1

n

⎠

( 4 ) − − κ ,

j = 1

ρ ⎞
⎠ .

⎛
⎝ 1

ρ w j ⎞
⎠

1

1 1

m

− − − −

1 v H n

κ α j ,λ α j ( α j

)

j = 1

where

⎛
⎝

1 − λ α j t ⎞ 1 − v α j 1 − 1 − λ α j n

n − 1

t = 0 κ

n − 1 − t

κ α j ,λ α j α j = v α j +

⎠

v H n − μ α j λ α j

α j

(1.333)

⎛
⎝

⎛
⎝ 1

α j μ α j ρ w j ⎞

1
ρ

m

1

⎠

GIFPWAH ∗ , n

n

( 5 ) (α 1 ,α 2 ,...,α m ) = − − κ ,

w

j = 1

ρ ⎞
⎠

⎛

ρ w j ⎞
⎠

1

1 1

m

⎝ 1

− − − −

1 v H ∗ , n

κ α j ,λ α j ( α j

)

j = 1