Modification Elementary Row Operations to Determine the Inverse of Trapezoidal Fuzzy Numbers Matrix

There are several algebraic solutions written
by various authors for trapezoidal fuzzy numbers

~
u u v

where
u
and
v
are the midpoint, 
is

the left width, and

is the right width. Furthermore,
trapezoidal fuzzy numbers are used in various
arithmetic of trapezoidal fuzzy numbers. There are not
many differences made by writers, especially for
addition, subtraction, and scalar multiplication
operations. However, there are many options made for
multiplication and division operations. With many
options for multiplication and division operations, it still
does not produce

,
~ ~ 1 ~   

u u

therefore the author
makes multiplication and division operations that can
produce

.
~ ~ 1 ~ 

u u

Before making multiplication and
division operations, the middle value of the trapezoidal
fuzzy number
u
~
is first determined, which is symbolized

by
m u  q
~ . The middle value is used for constructing
arithmetic multiplication, inverse, and divisibility of
trapezoidal fuzzy numbers that can solve

.
~ ~ 1 ~ 

u u
Furthermore, the arithmetic of trapezoidal fuzzy numbers
that have been constructed is used for are used to
determine the inverse of the trapezoidal fuzzy number
matrix using the modified fuzzy elementary row operations
method. Until now, there is no single article that provides
an alternative to the elementary row operations process
of a matrix. So in this article in addition to modifying the
multiplication, inverse, and division operations for
trapezoidal fuzzy numbers. There will also be a
modification of elementary row operations in calculating
the inverse of a trapezoidal fuzzy number matrix.