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This paper presents a general method for combining uncertain and paradoxical source of evidences for a wide class of fusion problems. From the foundations of the Dezert-Smarandache Theory (DSmT) we show how the DSm rule of combination can…

Dynamical Systems · Mathematics 2007-05-23 Jean Dezert , Florentin Smarandache

Epistemic uncertainty arises in lack of complete knowledge about the state of a system. There are multiple mathematical frameworks for measuring such uncertainty quantitatively, often referred to as imprecise probability theories. Inspired…

Category Theory · Mathematics 2026-03-05 Torgeir Aambø

Explanation generation frameworks aim to make AI systems' decisions transparent and understandable to human users. However, generating explanations in uncertain environments characterized by incomplete information and probabilistic models…

Artificial Intelligence · Computer Science 2025-09-04 Stylianos Loukas Vasileiou , William Yeoh , Alessandro Previti , Tran Cao Son

In many expert and everyday reasoning contexts it is very useful to reason on the basis of defeasible assumptions. For instance, if the information at hand is incomplete we often use plausible assumptions, or if the information is…

Logic in Computer Science · Computer Science 2018-04-25 AnneMarie Borg

This chapter presents probability logic as a rationality framework for human reasoning under uncertainty. Selected formal-normative aspects of probability logic are discussed in the light of experimental evidence. Specifically, probability…

Artificial Intelligence · Computer Science 2019-10-16 Niki Pfeifer

A broad variety of knowledge-based applications such as recommender, expert, planning or configuration systems usually operate on the basis of knowledge represented by means of some logical language. Such a logical knowledge base (KB)…

Artificial Intelligence · Computer Science 2016-09-22 Patrick Rodler

A probabilistic propositional logic, endowed with an epistemic component for asserting (non-)compatibility of diagonizable and bounded observables, is presented and illustrated for reasoning about the random results of projective…

Logic · Mathematics 2018-03-20 A. Sernadas , J. Rasga , C. Sernadas , L. Alcácer , A. B. Henriques

Incorporating multiple knowledge sources is proven to be beneficial for answering complex factoid questions. To utilize multiple knowledge bases (KB), previous works merge all KBs into a single graph via entity alignment and reduce the…

Computation and Language · Computer Science 2023-09-12 Minhao Zhang , Yongliang Ma , Yanzeng Li , Ruoyu Zhang , Lei Zou , Ming Zhou

Existing methods for dealing with knowledge updates differ greatly depending on the underlying knowledge representation formalism. When Classical Logic is used, updates are typically performed by manipulating the knowledge base on the…

Artificial Intelligence · Computer Science 2017-06-05 Martin Slota , Joao Leite

In the probabilistic approach to uncertainty management the input knowledge is usually represented by means of some probability distributions. In this paper we assume that the input knowledge is given by two discrete conditional probability…

Artificial Intelligence · Computer Science 2013-03-25 Angelo Gilio , Fulvio Spezzaferri

This paper tackles the problem of endogenous link prediction for Knowledge Base completion. Knowledge Bases can be represented as directed graphs whose nodes correspond to entities and edges to relationships. Previous attempts either…

Artificial Intelligence · Computer Science 2015-06-03 Alberto Garcia-Duran , Antoine Bordes , Nicolas Usunier , Yves Grandvalet

While belief functions may be seen formally as a generalization of probabilistic distributions, the question of the interactions between belief functions and probability is still an issue in practice. This question is difficult, since the…

Logic in Computer Science · Computer Science 2011-10-03 Frederic Dambreville

This paper is a submission to the contest: How to combine logics? at the World Congress and School on Universal Logic III, 2010. We claim that combining "things", whatever these things are, is made easier if these things can be seen as the…

Logic in Computer Science · Computer Science 2009-11-19 Dominique Duval

Compact and discriminative visual codebooks are preferred in many visual recognition tasks. In the literature, a number of works have taken the approach of hierarchically merging visual words of an initial large-sized codebook, but…

Computer Vision and Pattern Recognition · Computer Science 2014-01-31 Lingqiao Liu , Lei Wang , Chunhua Shen

Defeasible logics provide several linguistic features to support the expression of defeasible knowledge. There is also a wide variety of such logics, expressing different intuitions about defeasible reasoning. However, the logics can only…

Logic in Computer Science · Computer Science 2021-02-16 Guido Governatori , Michael J. Maher

The proliferation of misinformation in journalism, often stemming from flawed reasoning and logical fallacies, poses significant challenges to public understanding and trust in news media. Traditional fact-checking methods, while valuable,…

Human-Computer Interaction · Computer Science 2025-08-27 Arlen Fan , Fan Lei , Steven R. Corman , Ross Maciejewski

This paper presents a novel approach based on variable forgetting, which is a useful tool in resolving contradictory by filtering some given variables, to merging multiple knowledge bases. This paper first builds a relationship between…

Artificial Intelligence · Computer Science 2013-01-11 Dai Xu , Xiaowang Zhang , Zuoquan Lin

A number of writers(Joseph Halpern and Fahiem Bacchus among them) have offered semantics for formal languages in which inferences concerning probabilities can be made. Our concern is different. This paper provides a formalization of…

Artificial Intelligence · Computer Science 2013-03-25 Henry E. Kyburg

ProbLog is a popular probabilistic logic programming language/tool, widely used for applications requiring to deal with inherent uncertainties in structured domains. In this paper we study connections between ProbLog and a variant of…

Artificial Intelligence · Computer Science 2023-08-31 Francesca Toni , Nico Potyka , Markus Ulbricht , Pietro Totis

We propose a new method for mining frequent patterns in a language that combines both Semantic Web ontologies and rules. In particular we consider the setting of using a language that combines description logics with DL-safe rules. This…

Logic in Computer Science · Computer Science 2015-03-13 Joanna Jozefowska , Agnieszka Lawrynowicz , Tomasz Lukaszewski
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