Research Article

# Determining the General Inverse for Trapezoidal Fuzzy Numbers Matrix with Modification Elementary Row Operations

@INPROCEEDINGS{10.4108/eai.3-11-2023.2347906, author={Mashadi Mashadi and Weni Gustiana and Sri Gemawati}, title={Determining the General Inverse for Trapezoidal Fuzzy Numbers Matrix with Modification Elementary Row Operations}, proceedings={Proceedings of the 3rd Sriwijaya International Conference on Basic and Applied Sciences, SICBAS 2023, November 3, 2023, Palembang, Indonesia}, publisher={EAI}, proceedings_a={SICBAS}, year={2024}, month={8}, keywords={trapezoidal fuzzy numbers modification of elementary row operations general inverse}, doi={10.4108/eai.3-11-2023.2347906} }

- Mashadi Mashadi

Weni Gustiana

Sri Gemawati

Year: 2024

Determining the General Inverse for Trapezoidal Fuzzy Numbers Matrix with Modification Elementary Row Operations

SICBAS

EAI

DOI: 10.4108/eai.3-11-2023.2347906

## Abstract

Until now, for trapezoidal fuzzy number (TrapFN), there have been very many algebra operations given by authors, in the algebraic operations given, specifically for several multiplication, addition, and subtraction operations there is not much difference given by the various authors. However, for multiplication, division or inverse operations, there are many differences. Not only that for any TrapFN πΜ, it does not produce πΜβ¨πΜβ1 = π, so for the Trapezoidal fuzzy Matrixβs (TrapFM) will not apply πΜβ¨πΜβ1 = πΌΜ, as a result various authors solve the TrapFN linear equation structure by decomposing the TrapFM in the form of a real number matrix, and some of them do not produce compatible solutions. According to that conditions, the author provides an alternative to the amplification, division and Operations on TrapFN in reverse which will produce πΜβ¨πΜβ1 = π . Furthermore, by modifying the elementary row operation, An algebraic alternative to TrapFN will be applied to determine the general inverse of TrapFM. At the end, an example of calculations for TrapFM of order 2x3 will be given.