Intuitionistic Fuzzy Clustering Algorithms - Intuitionistic Fuzzy Aggregation and Clustering - page 246

-cutting matrix C λ = λ c ij m × m of C is:

λ = . λ

(4) If 0 986, then the

⎛ ⎞

100000
010010
001011
000100
011010
001001

⎝ ⎠

C

λ =

By Theorem 2.19, we know that C is not an equivalent Boole matrix, to transform

λ

C into an equivalent Boole matrix, we should change the element “0” in the special

sub-matrices into “1” and then we get

λ

⎛
⎝

⎞
⎠

100000
011011
011011
000100
011011
011011

C λ =

Obviously, C λ is an equivalent Boole matrix, by which we can group y i

( i = 1 , 2 ,..., 6 ) into the following three types:

{ y 1 } , { y 2 , y 3 , y 5 , y 6 } , { y 4 }

λ = λ

c ij 6 × 6 of C is:

(5) If λ = 0 . 982, then the λ -cutting matrix C

⎛
⎝

⎞
⎠

100000
010011
001111
001100
011010
011001

C λ =

Similar to (4), y i ( i = 1 , 2 ,..., 6 ) are grouped into the following two types:

{ y 1 } , { y 2 , y 3 , y 4 , y 5 , y 6 }