The Algorithm for Solving All Feedback Loops of Fuzzy Cognitive Map

The problem of searching all feedback loops of fuzzy cognitive map is equal to calculating all essential loops of a corresponding directed graph. In this paper, we present an algorithm for solving the feedback loop of fuzzy cognitive map. In the proposed method, we analyze the relationship between fuzzy cognitive map and directed graph, and utilize related knowledge of graph theory to obtain the corresponding basic feedback loops of residual tree, then, all basis feedback loops are given by ¿loops add¿ calculating of basic loops. Finally, an illustrative example is provided, and its results suggest that the method is capable of solving feedback loop of fuzzy cognitive map.