Authors : Weni Gustiana; Mashadi; Sri Gemawati

Volume/Issue : Volume 8 - 2023, Issue 9 - September

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://tinyurl.com/ynnct8we

DOI : https://doi.org/10.5281/zenodo.8394435

Abstract : 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.

Keywords : Fuzzy Elementary Row Operations Method, Fuzzy Inverse, Trapezoidal Fuzzy Number