Intuitionistic Fuzzy IMs - Index Matrices: Towards an Augmented Matrix Calculus - page 39

l n ,β n

... l n , α

i = 1 μ k i , l n ,

m

i = 1 ν k i , l n ,

m

1
m

1
m

...

(max,min)-row-aggregation

ρ ( max , max ) ( A , k 0 )

l l

l 1 , α

1 ,β 1

...

=

k k

k 0 , max

m α

i ,

min

m β

i

min

m μ k i , l 1 ,

max

m ν k i , l 1 ...

1 ≤ i ≤ 1 ≤ i ≤ 1 ≤ i ≤ 1 ≤ i ≤

l l

... l n , α

n ,β n

m ν k i , l n ,

... min

m μ k i , l n ,

max
1 1 ≤ i ≤ ≤ i ≤

(ave,max)-row-aggregation

ρ ( min , max ) ( A , k 0 )

l l

l 1 , α

1 ,β 1

...

i = 1 α

m

i = 1 β

m

=

1
m

k 1

m

k

k 0 ,

i , i

max
1 m μ k i , l 1 ,

min

m ν k i , l 1 ...

≤ i ≤ 1 ≤ i ≤

l n ,β n

... l n , α

m ν k i , l n ,

... max

1 m μ k i , l n ,

min

≤ i ≤ 1 ≤ i ≤

(ave,ave)-row-aggregation

ρ ( max , max ) ( A , k 0 )

l l

l 1 , α

1 ,β 1

...

i = 1 α

m

i = 1 β

m

i = 1 μ k i , l 1 ,

m

i = 1 ν k i , l 1 ...

m

=

1
m

k 1

m

k 1

m

1
m

k 0 ,

i , i

l n ,β n

... l n , α

i = 1 μ k i , l n ,

m

i = 1 ν k i , l n ,

m

1
m

1
m

...

(ave,min)-row-aggregation

ρ ( max , max ) ( ,

k 0 ) A

l 1 ,β 1

l 1 , α ...

i = 1 α

m

i = 1 β

m

=

1
m

k 1

m

k

k 0 ,

i , i

min

m μ k i , l 1 ,

max
1 m ν k i , l 1 ...

1 ≤ i ≤ ≤ i ≤