# Weighted defeasible knowledge bases and a multipreference semantics for a deep neural network model

arXiv: https://arxiv.org/abs/2012.13421 · HTML: https://mlsanity.com/paper/2012.13421/

## Key facts

- Cited by 11 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 24 Dec 2020.

## Built on by (most cited first, 11 of 11)

- [SpArX: Sparse Argumentative Explanations for Neural Networks [Technical Report]](https://mlsanity.com/paper/2301.09559/) (2023)
- [A conditional, a fuzzy and a probabilistic interpretation of self-organising maps](https://mlsanity.com/paper/2103.06854/) (2021)
- [On the KLM properties of a fuzzy DL with Typicality](https://mlsanity.com/paper/2106.00390/) (2021)
- [An ASP approach for reasoning on neural networks under a finitely many-valued semantics for weighted conditional knowledge bases](https://mlsanity.com/paper/2202.01123/) (2022)
- [Weighted Conditional EL{^}bot Knowledge Bases with Integer Weights: an ASP Approach](https://mlsanity.com/paper/2109.08286/) (2021)
- [Complexity and scalability of defeasible reasoning in many-valued weighted knowledge bases with typicality](https://mlsanity.com/paper/2303.04534/) (2023)
- [From Weighted Conditionals of Multilayer Perceptrons to Gradual Argumentation and Back](https://mlsanity.com/paper/2110.03643/) (2021)
- [Many-valued Argumentation, Conditionals and a Probabilistic Semantics for Gradual Argumentation](https://mlsanity.com/paper/2212.07523/) (2022)
- [A preferential interpretation of MultiLayer Perceptrons in a conditional logic with typicality](https://mlsanity.com/paper/2305.00304/) (2023)
- [From Common Sense Reasoning to Neural Network Models through Multiple Preferences: an overview](https://mlsanity.com/paper/2107.04870/) (2021)
- [Temporal Many-valued Conditional Logics: a Preliminary Report](https://mlsanity.com/paper/2409.09069/) (2024)

## Abstract (arXiv)

In this paper we investigate the relationships between a multipreferential semantics for defeasible reasoning in knowledge representation and a deep neural network model. Weighted knowledge bases for description logics are considered under a "concept-wise" multipreference semantics. The semantics is further extended to fuzzy interpretations and exploited to provide a preferential interpretation of Multilayer Perceptrons.