Interrogating the structure of fuzzy cognitive maps |
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Authors: | Liu Z-Q Zhang J Y |
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Affiliation: | (1) Department of Computer Science and Software Engineering, The University of Melbourne, Victoria 3010, Australia e-mails: smzliu@cityu.edu.hk, z.liu@cs.mu.OZ.AU, AU;(2) School of Creative Media, City University of Hong Kong, Tat Chee Ave., Kowloon, Hong Kong, P.R. China, CN |
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Abstract: | Causal algebra in fuzzy cognitive maps (FCMs) plays a critical role in the analysis and design of FCMs. Improving causal
algebra in FCMs to model complicated situations has been one of the major research topics in this area. In this paper we propose
a dynamic causal algebra in FCMs which can improve FCMs' inference and representation capability. The dynamic causal algebra
shows that the indirect, strongest, weakest and total effects a vertex influences another in the FCM not only depend on the
weights along all directed paths between the two vertices but also the states of the vertices on the directed paths. Therefore,
these effects are nonlinear dynamic processes determined by initial conditions and propagated in the FCM to reach a static
or cyclic pattern. We test our theory with a simple example. |
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Keywords: | Fuzzy cognitive maps Dynamic causal algebra Causal knowledge Inference Decision making systems |
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