Intuitionistic Fuzzy Clustering Algorithms - Intuitionistic Fuzzy Aggregation and Clustering - page 253

( = , , , , )

and then the cars y i i 1 2 3 4 5 are clustered into following four types:

{

y 1 } , { y 2 , y 3 } , { y 4 } , { y 5 }

.

(3) When 0 . 75 <λ ≤ 0 . 8, we have

⎛

y

⎞

1

⎜ ⎟

*

y

⎜ ⎟

2

⎜ ⎟

= *

Z y

3

⎜ ⎟

y

⎜ ⎟

4

⎜ ⎟

y

⎝ ⎠

5

and then the cars y i ( i = 1 , 2 , 3 , 4 , 5 ) are clustered into three types: { y 1 , y 2 , y 3 } ,

{ y 4 } , { .

(4) When 0

y 5 }

. 72 <λ ≤ 0 . 75, we have

⎛

y

⎞

1

⎜ ⎟

*

y

⎜ ⎟

2

⎜ ⎟

= *

Z y

3

⎜ ⎟

*

y

⎜ ⎟

4

⎜ ⎟

y

⎝ ⎠

5

then the cars y i ( i = 1 , 2 , 3 , 4 , 5 ) are clustered into two types: { y 1 , y 2 , y 3 , y 4 } , { y 5 } .

(5) When 0 . 68 <λ ≤ 0 . 72, we have the following two cases:

(a)

⎛

y

⎞

1

⎜ ⎟

*

y

⎜ ⎟

2

⎜ ⎟

= *

**

Z y

3

⎜ ⎟

y

⎜ ⎟

4

⎜ ⎟

y

⎝ ⎠

5

In this case, the cars y i ( i = 1 , 2 , 3 , 4 , 5 ) are clustered into two types: { y 1 , y 2 ,

y 3 , y 4 } , { y 5 } ;

(b)

⎛ ⎞

y

1

⎜ ⎟

*
**

y

⎜ ⎟

2

⎜ ⎟

= ⎜

Z y

3

⎟

**

y

⎜ ⎟

4

⎜ ⎟

y

⎝ ⎠

5