Complex-Valued Logic for Neural Networks

Eugene Kagan, Alexander Rybalov, Ronald R. Yager · 2018

In the report, a simple complex-valued logic is derived from the algebraic structure with uninorm and absorbing norm aggregators. Such construction forms a unified framework for probabilistic and complex fuzzy logics and provides a basis for modeling decision-making in complex systems. In particular, the applicability of the obtained logic is illustrated by construction of the modules of neural networks with recursive learning.

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