MINUS ORDERING DAN INVERS MOORE PENROSE PADA MATRIKS KABUR INTUITIONISTIK - Diponegoro University | Institutional Repository (UNDIP-IR)

ABSTRAK
Suatu matriks kabur intuitionistik (
) berorder
disebut regular jika
terdapat
berorder
yang juga suatu
sedemikian sehingga
. Suatu
yang memenuhi relasi
disebut invers generalis
(g-invers) dari yang dinotasikan dengan . Jika
dan
maka
(minus ordering) sedangkan jika
dan
memenuhi persamaan, dan
maka disebut
persaman
,
,

invers Moore Penrose dari
dan dinotasikan dengan
. Jika
maka
ekuivalen dengan
. Suatu minus ordering " "
, sedemikian
adalah parsial ordering. Jika matriks
invertible maka
sehingga
juga ekuivalen dengan
dan
Kata kunci : matriks kabur intuitionistik, g-invers, minus ordering, invers Moore
Penrose, parsial ordering.

v

ABSTRACT
An Intuitionistic Fuzzy Matrix (
) of order

is said to be regular if
there exists which is also an
such that
. An
satisfies the
relation
is called a generallised inverse (g-inverse) of
which is
denoted by
. If
and
then we say
(minus
ordering) while if and satisfies the equations
,
,
then
is called Moore Penrose Inverse of
which is
, and

denoted by . If
then it is equivalent with
.
The minus ordering is a partial ordering. If is invertible matrix then
such that
is also equivalent with
and
.
Keywords: intuitionistic fuzzy matric (
), generalized inverse (g-invers),
minus ordering, Moore Penrose inverse, partial ordering.

vi