A Method for Solving Positive Pair Fully Fuzzy Matrix Equation A Review
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Abstract
The pair matrix equation have some numerous application in control system engineering, such as for stability analysis of linear control systems and also for reduction of nonlinear control system models. Solving pair matrix equation has intrigued many researchers due to its ability to handle imprecise information of real problems. Thus, in this work, we used the fuzzy kronecker product and vec-operator to transform the fully fuzzy pair matrix equation into a fully fuzzy linear system. Then the fully fuzzy linear system is converted to an associated linear system. The solution of the associated linear system is obtained by applying pseudoinverse method to get the final solution. Some related theoretical developments, corollary and numerical example is constructed to illustrate the algorithm.
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