[PDF][PDF] Positive solution of pair fully fuzzy matrix equations

WSW Daud, N Ahmad, G Malkawi - Malaysian Journal of …, 2018 - mjms.upm.edu.my
WSW Daud, N Ahmad, G Malkawi
Malaysian Journal of Mathematical Sciences, 2018mjms.upm.edu.my
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 …
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.
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