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Some steps forward in semi-quantitative networks modelling

Keywords: semi-quantitative networks , fuzzy cognitive maps , if-then-else stops , non-linearity , nonmonotonicity , piecewise model

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Abstract:

System dynamics is an umbrella term for those approaches aiming to understand the behaviour of network-like systems over time. What makes system dynamics different from other methods about complex systems is the use of feedback loops, stocks and ?ows which allow to model how network-like systems can display strong nonlinear behaviours. Fuzzy Cognitive Maps (FCM) are semi-quantitative networks that can be regarded as a system dynamics method. Here I suggest 4 kinds of modifications to FCM: (1) if-then-else stop option; (2) piecewise option; (3) non-monotonicity option; (4) non-linearity option. These improvements to FCM might allow for fitter simulations of ecological and biological systems over time. I also present an applicative example to illustrate the proposed modifications.

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