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There is much interest in providing probabilistic semantics for defaults but most approaches seem to suffer from one of two problems: either they require numbers, a problem defaults were intended to avoid, or they generate peculiar side…

人工智能 · 计算机科学 2013-04-10 Eric Neufeld , David L Poole

Multivalued treatment models have typically been studied under restrictive assumptions: ordered choice, and more recently unordered monotonicity. We show how treatment effects can be identified in a more general class of models that allows…

计量经济学 · 经济学 2018-05-02 Sokbae Lee , Bernard Salanié

This is the text of my speech at the Logica Universalis webinar, which took place on May 11, 2022. I discuss two ways to implement a semantic approach to nonmonotonic consequence relations in an arbitrary propositional language. For one…

逻辑 · 数学 2022-12-29 Alexei Muravitsky

Binary multirelations can model alternating nondeterminism, for instance, in games or nondeterministically evolving systems interacting with an environment. Such systems can show partial or total functional behaviour at both levels of…

计算机科学中的逻辑 · 计算机科学 2023-06-16 Hitoshi Furusawa , Walter Guttmann , Georg Struth

Nontransitive choices have long been an area of curiosity within economics. However, determining whether nontransitive choices represent an individual's preference is a difficult task since choice data is inherently stochastic. This paper…

理论经济学 · 经济学 2023-05-01 Mogens Fosgerau , John Rehbeck

To evaluate a single cause of a binary effect, Dawid et al. (2014) defined the probability of causation, while Pearl (2015) defined the probabilities of necessity and sufficiency. For assessing the multiple correlated causes of a binary…

统计方法学 · 统计学 2024-04-09 Shanshan Luo , Yixuan Yu , Chunchen Liu , Feng Xie , Zhi Geng

Using theory and experiments, this paper shows that the difficulty of making tradeoffs offers a parsimonious explanation for a wide range of behavioral phenomena. We develop a model of imprecise comparisons applicable to multiattribute,…

综合经济学 · 经济学 2026-04-01 Cassidy Shubatt , Jeffrey Yang

In this paper we discuss the relationships between conditional and preferential logics and neural network models, based on a multi-preferential semantics. We propose a concept-wise multipreference semantics, recently introduced for…

人工智能 · 计算机科学 2021-07-13 Laura Giordano , Valentina Gliozzi , Daniele Theseider Dupré

Nonmonotonic logics are usually characterized by the presence of some notion of 'conditional' that fails monotonicity. Research on nonmonotonic logics is therefore largely concerned with the defeasibility of argument forms and the…

计算机科学中的逻辑 · 计算机科学 2013-10-29 Katarina Britz , Ivan Varzinczak

This paper concerns an expansion of first-order Belnap-Dunn logic whose connectives and quantifiers all have a counterpart in classical logic. The language and logical consequence relation of this paradefinite logic are defined, a sequent…

计算机科学中的逻辑 · 计算机科学 2026-03-04 C. A. Middelburg

We study causal inference under case-control and case-population sampling. Specifically, we focus on the binary-outcome and binary-treatment case, where the parameters of interest are causal relative and attributable risks defined via the…

计量经济学 · 经济学 2023-10-24 Sung Jae Jun , Sokbae Lee

This work is divided between two main areas: in the theory of multialgebras, we focus mostly on a new definition of what a freely generated object should be in their category, and on how this category is equivalent to another with partially…

逻辑 · 数学 2022-06-23 Guilherme Vicentin de Toledo

Rational relations are binary relations of finite words that are realised by non-deterministic finite state transducers (NFT). A particular kind of rational relations is the sequential functions. Sequential functions are the functions that…

形式语言与自动机理论 · 计算机科学 2015-04-16 Ismaël Jecker , Emmanuel Filiot

We consider methods for aggregating preferences that are based on the resolution of discrete optimization problems. The preferences are represented by arbitrary binary relations (possibly weighted) or incomplete paired comparison matrices.…

最优化与控制 · 数学 2007-05-23 Pavel Chebotarev , Elena Shamis

We start by defining an approach to non-monotonic probabilistic reasoning in terms of non-monotonic categorical (true-false) reasoning. We identify a type of non-monotonic probabilistic reasoning, akin to default inheritance, that is…

人工智能 · 计算机科学 2013-04-12 Benjamin N. Grosof

We investigate properties of ABA+, a formalism that extends the well studied structured argumentation formalism Assumption-Based Argumentation (ABA) with a preference handling mechanism. In particular, we establish desirable properties that…

人工智能 · 计算机科学 2017-11-07 Kristijonas Cyras , Francesca Toni

In this paper, we present a link between preference-based and multiobjective sequential decision-making. While transforming a multiobjective problem to a preference-based one is quite natural, the other direction is a bit less obvious. We…

人工智能 · 计算机科学 2017-01-04 Paul Weng

We give a first-order definition of key polynomials, we show the links with previous definitions, that it is relevant to study key degrees, and to use a kind of valuations that we call partially multiplicative. We also prove or reprove…

交换代数 · 数学 2022-05-19 Gérard Leloup

We study the classical, two-sided stable marriage problem under pairwise preferences. In the most general setting, agents are allowed to express their preferences as comparisons of any two of their edges and they also have the right to…

离散数学 · 计算机科学 2018-10-02 Ágnes Cseh , Attila Juhos

A method is given for quantitatively rating the social acceptance of different options which are the matter of a preferential vote. In contrast to a previous article, here the individual votes are allowed to be incomplete, that is, they…

最优化与控制 · 数学 2012-03-09 Rosa Camps , Xavier Mora , Laia Saumell