Abstract
The stability analysis of multi-relationship fuzzy cognitive map has an important signicance in guiding its application in the system. The condition of stability of multi-relationship fuzzy cognitive map is that the energy function is a reduction along the network, and the zero point of the function derivative is the stability state of the network. The energy function of the system has lower bound. We established the energy function of model. Finally. The results converge reasonably well for the multi-relationship fuzzy cognitive map, and proved the stability of multi-relationship fuzzy cognitive map system.
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