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- W3202294586 abstract "The paper investigates the properties of a fuzzy logic of typicality. The extension of fuzzy logic with a typicality operator was proposed in recent work to define a fuzzy multipreference semantics for Multilayer Perceptrons, by regarding the deep neural network as a conditional knowledge base. In this paper, we study its properties. First, a monotonic extension of a fuzzy (mathcal {ALC}) with typicality is considered (called (mathcal {ALC}^{mathbf{F}}mathbf{T})) and a reformulation the KLM properties of a preferential consequence relation for this logic is devised. Most of the properties are satisfied, depending on the reformulation and on the fuzzy combination functions considered. We then strengthen (mathcal {ALC}^{mathbf{F}}mathbf{T}) with a closure construction by introducing a notion of faithful model of a weighted knowledge base, which generalizes the notion of coherent model of a conditional knowledge base previously introduced, and we study its properties." @default.
- W3202294586 created "2021-10-11" @default.
- W3202294586 creator A5002078119 @default.
- W3202294586 date "2021-01-01" @default.
- W3202294586 modified "2023-09-30" @default.
- W3202294586 title "On the KLM Properties of a Fuzzy DL with Typicality" @default.
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- W3202294586 doi "https://doi.org/10.1007/978-3-030-86772-0_40" @default.
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