An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems

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Logic Tensor Networks for Semantic Image Interpretation (2017, neutral): “. 2Examples of t-norms include Lukasiewicz, product and Godel. The Lukasiewicz t-norm is¨ Luk(x;y) = max(0;x+ y 1), product t-norm is Pr(x;y) = x y, and G¨odel t-norm is max(x;y) = min(x;y). See [3] for details. 3The popular mean operators, arithmetic, geometric and harmonic mean, are obtained by ”
Tensor Networks : Deep Learning and Logical Reasoning from Data and Knowledge ⋆ (2016, methodology): “This paper proposes a framework called ogic tensor networks (LTN) which integrates learning based on tensor networks [25] with reasonin g using first-order manyvalued logic [6], all implemented in T ENSORFLOW [13].”