THE ALGEBRAIC SOLUTION OF DUAL FUZZY COMPLEX LINEAR SYSTEMS FORMED 2nx2n

SRI WAHYUNI, - (2024) THE ALGEBRAIC SOLUTION OF DUAL FUZZY COMPLEX LINEAR SYSTEMS FORMED 2nx2n. INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 12 (5). pp. 4247-4255. ISSN 2320-7167

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Official URL: https://ijmcr.in/index.php/ijmcr/article/view/751

Abstract

The main objective of this research is to solve the system of equations of dual complex fuzzy matrices AX ̃+Y ̃=BX ̃+Z ̃ where A,B are crisp coefficient matrices of size n×n, and Y ̃,Z ̃ are complex fuzzy number matrices. By transforming it into the form of a system of equations of complex fuzzy matrices SX ̃+Y ̃=RX ̃+Z ̃ where S≥0 denotes the positive entries of matrix A, S≤0 denotes the absolute values of the negative entries of matrix A, R≥0 denotes the positive entries of matrix B, R≤0 denotes the absolute values of the negative entries of matrix B, and Y ̃,Z ̃ are matrices of complex fuzzy numbers. Based on the research, it is obtained that the solution of the system of equations of dual complex fuzzy matrices can be achieved by transforming the system of equations of n×n matrices into 2n×2n matrices, where n≥2.

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