Malaysian Journal of Mathematical Sciences, September 2018, Vol. 12, No. 3
Positive Solution of Pair Fully Fuzzy Matrix Equations
Daud, W. S. W., Ahmad, N., and Malkawi, G.
Corresponding Email: wsuhana@unimap.edu.my
Received date: 29 March 2018
Accepted date: 15 August 2018
Abstract:
A pair matrix equation is a matrix system that contains two matrix equations which is solved simultaneously to obtain its solution. In this
study, an algorithm for obtaining the positive fuzzy solution of positive pair fully fuzzy matrix equation is proposed. The constructed algorithm utilizes fuzzy Kronecker product and fuzzy V ec-operator to transform pair fully fuzzy matrix equation into fully fuzzy linear system. Then, an associated linear system is used to reach the final solution. Necessary theorems, corollary and numerical example are presented to illustrate the proposed algorithm.
Keywords: Fully fuzzy pair matrix equation, Fully fuzzy linear system, Kronecker product, V ec-operator, Associated linear system
