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There are investigated the generalized methods of cognition of the Existing, i.e. everything that is able to influence to the cognizer, and everything differed from the Existing is postulated as indistinguishable from the non-existing and…

General Physics · Physics 2017-08-18 Andrey V. Novikov-Borodin

Conceptual formalism supported by typical ontologies may not be sufficient to represent uncertainty information which is caused due to the lack of clear cut boundaries between concepts of a domain. Fuzzy ontologies are proposed to offer a…

Artificial Intelligence · Computer Science 2018-05-08 Zahra Riahi Samani , Mehrnoush Shamsfard

Matchmaking arises when supply and demand meet in an electronic marketplace, or when agents search for a web service to perform some task, or even when recruiting agencies match curricula and job profiles. In such open environments, the…

Artificial Intelligence · Computer Science 2011-10-13 T. Di Noia , E. Di Sciascio , F. M. Donini

Ontologies have been widely used in numerous and varied applications, e.g., to support data modeling, information integration, and knowledge management. With the increasing size of ontologies, ontology understanding, which is playing an…

Information Retrieval · Computer Science 2018-05-17 Seyedamin Pouriyeh , Mehdi Allahyari , Qingxia Liu , Gong Cheng , Hamid Reza Arabnia , Yuzhong Qu , Krys Kochut

Category theory can be used to state formulas in First-Order Logic without using set membership. Several notable results in logic such as proof of the continuum hypothesis can be elegantly rewritten in category theory. We propose in this…

Logic in Computer Science · Computer Science 2022-04-19 Chan Le Duc

Reasoning with ontologies is one of the core fields of research in Description Logics. A variety of efficient reasoner with highly optimized algorithms have been developed to allow inference tasks on expressive ontology languages such as…

Artificial Intelligence · Computer Science 2015-10-01 Nourhène Alaya , Sadok Ben Yahia , Myriam Lamolle

Conceptual entanglement is a crucial phenomenon in quantum cognition because it implies that classical probabilities cannot model non--compositional conceptual phenomena. While several psychological experiments have been developed to test…

Computation and Language · Computer Science 2019-09-24 Tomas Veloz , Xiazhao Zhao , Diederik Aerts

Lexical Semantics is concerned with how words encode mental representations of the world, i.e., concepts . We call this type of concepts, classification concepts . In this paper, we focus on Visual Semantics , namely on how humans build…

Artificial Intelligence · Computer Science 2021-09-15 Fausto Giunchiglia , Luca Erculiani , Andrea Passerini

This article presents the top-level of an ontology categorizing and generalizing best practices and quality criteria or measures for Linked Data. It permits to compare these techniques and have a synthetic organized view of what can or…

Digital Libraries · Computer Science 2013-05-31 Philippe A. Martin

The aim of these notes is to provide a succinct, accessible introduction to some of the basic ideas of category theory and categorical logic. The notes are based on a lecture course given at Oxford over the past few years. They contain…

Category Theory · Mathematics 2015-05-27 Samson Abramsky , Nikos Tzevelekos

This works is motivated by a real-world case study where it is necessary to integrate and relate existing ontologies through meta- modelling. For this, we introduce the Description Logic ALCQM which is obtained from ALCQ by adding…

Artificial Intelligence · Computer Science 2014-10-30 Regina Motz , Edelweis Rohrer , Paula Severi

Description Logics (DLs) are suitable, well-known, logics for managing structured knowledge. They allow reasoning about individuals and well defined concepts, i.e., set of individuals with common properties. The experience in using DLs in…

Artificial Intelligence · Computer Science 2011-06-06 U. Straccia

The study of complex systems through the lens of category theory consistently proves to be a powerful approach. We propose that cognition deserves the same category-theoretic treatment. We show that by considering a highly-compact cognitive…

Neurons and Cognition · Quantitative Biology 2021-08-04 Sophie Alyx Taylor , Son Cao Tran , Dan V. Nicolau

This paper provides a self-contained first introduction to description logics (DLs). The main concepts and features are explained with examples before syntax and semantics of the DL SROIQ are defined in detail. Additional sections review…

Artificial Intelligence · Computer Science 2013-06-04 Markus Krötzsch , Frantisek Simancik , Ian Horrocks

This paper presents a geometric approach to the problem of modelling the relationship between words and concepts, focusing in particular on analogical phenomena in language and cognition. Grounded in recent theories regarding geometric…

Computation and Language · Computer Science 2016-08-05 Stephen McGregor , Matthew Purver , Geraint Wiggins

Translations between different nonmonotonic formalisms always have been an important topic in the field, in particular to understand the knowledge-representation capabilities those formalisms offer. We provide such an investigation in terms…

Artificial Intelligence · Computer Science 2014-01-17 Wolfgang Dvorak , Stefan Woltran

We present modeling for conceptual combinations which uses the mathematical formalism of quantum theory. Our model faithfully describes a large amount of experimental data collected by different scholars on concept conjunctions and…

Artificial Intelligence · Computer Science 2015-12-31 Diederik Aerts , Sandro Sozzo

Concept Induction refers to the problem of creating complex Description Logic class descriptions (i.e., TBox axioms) from instance examples (i.e., ABox data). In this paper we look particularly at the case where both a set of positive and a…

Artificial Intelligence · Computer Science 2018-12-11 Md Kamruzzaman Sarker , Pascal Hitzler

The major objective of this work is to study and report the existing ontology-driven models for narrative information. The paper aims to analyze these models across various domains. The goal of this work is to bring the relevant literature,…

Digital Libraries · Computer Science 2021-10-06 Udaya Varadarajan , Biswanath Dutta

Formal Concept Analysis (FCA) is an approach to creating a conceptual hierarchy in which a \textit{concept lattice} is generated from a \textit{formal context}. That is, a triple consisting of a set of objects, $G$, a set of attributes,…

Logic in Computer Science · Computer Science 2024-10-08 Lucas Carr , Nicholas Leisegang , Thomas Meyer , Sebastian Rudolph