Intuitionistic Fuzzy IMs - Index Matrices: Towards an Augmented Matrix Calculus - page 41

(max,ave)-column-aggregation

l l

l 0 , max

1 m α

j ,

min

m β

j

≤ i ≤ 1 ≤ i ≤

j = 1 μ k 1 , l j , j = 1 ν k 1 , l j

n n

k k 1

n

1
n

k 1 , α

1 ,β 1

σ max ( ,

l 0 ) =

,

A

. .

j = 1 μ k m , l j ,

n

j = 1 ν k m , l j

n

k k 1

n

1
n

k m , α

m ,β m

(max,min)-column-aggregation

l l

l 0 , max

1 m α

j ,

min

m β

j

≤ i ≤ 1 ≤ i ≤

k k

k 1 , α

1 ,β 1

min

≤ j ≤ n μ k 1 , l j ,

max
1 ≤ j ≤ n ν k 1 , l j

1

σ max ( A , l 0 ) = ,

. .

m ,β m

k m , α min

n μ k m , l j ,

max
1 n ν k m , l j

1 ≤ j ≤ ≤ j ≤

(ave,max)-column-aggregation

j = 1 α

n

j = 1 β

n

1
n

l 1

n

l

l 0 ,

j , j

k k

k 1 , α

1 ,β 1

max
1 n μ k 1 , l j ,

min

n ν k 1 , l j

σ max ( A , l 0 ) = ,

≤ j ≤ 1 ≤ j ≤

. .

m m

k m , α ,β max

≤ j ≤ n μ k m , l j ,

min

≤ j ≤ n ν k m , l j

1 1

(ave,ave)-column-aggregation

σ max ( ,

l 0 )

A

j = 1 α

n

j = 1 β

n

1
n

l 1

n

l

l 0 ,

j , j

j = 1 μ k 1 , l j , j = 1 ν k 1 , l j

n n

k k 1

n

1
n

k 1 , α

1 ,β 1

= .

. .

j = 1 μ k m , l j ,

n

j = 1 ν k m , l j

n

k k 1

n

1
n

k m , α

m ,β m