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Related papers: Super Rough Semantics

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Different semantic interpretation tasks such as text entailment and question answering require the classification of semantic relations between terms or entities within text. However, in most cases it is not possible to assign a direct…

Computation and Language · Computer Science 2018-05-18 Siamak Barzegar , Andre Freitas , Siegfried Handschuh , Brian Davis

Formal concept analysis has grown from a new branch of the mathematical field of lattice theory to a widely recognized tool in Computer Science and elsewhere. In order to fully benefit from this theory, we believe that it can be enriched…

Logic in Computer Science · Computer Science 2012-01-23 Pascal Hitzler , Markus Krötzsch , Guo-Qiang Zhang

Necessary and sufficient conditions for convexity and strong convexity, respectively, of sublevel sets that are defined by finitely many real-valued $C^{1,1}$-maps are presented. A novel characterization of strongly convex sets in terms of…

Optimization and Control · Mathematics 2017-01-03 Alexander Weber , Gunther Reissig

In order to be able to use methods of Universal Algebra for investigating posets, we assign to every pseudocomplemented poset, to every relatively pseudocomplemented poset and to every sectionally pseudocomplemented poset a certain algebra…

Rings and Algebras · Mathematics 2021-03-24 Ivan Chajda , Helmut Länger

Natural language definitions possess a recursive, self-explanatory semantic structure that can support representation learning methods able to preserve explicit conceptual relations and constraints in the latent space. This paper presents a…

Computation and Language · Computer Science 2024-02-19 Marco Valentino , Danilo S. Carvalho , André Freitas

The identification of semantic relations between terms within texts is a fundamental task in Natural Language Processing which can support applications requiring a lightweight semantic interpretation model. Currently, semantic relation…

Computation and Language · Computer Science 2018-06-21 Vivian S. Silva , Manuela Hürliman , Brian Davis , Siegfried Handschuh , André Freitas

In Pawlak's rough set theory, a set is approximated by a pair of lower and upper approximations. To measure numerically the roughness of an approximation, Pawlak introduced a quantitative measure of roughness by using the ratio of the…

Artificial Intelligence · Computer Science 2015-03-13 Ping Zhu

Semantic role theory considers roles as a small universal set of unanalyzed entities. It means that formally there are no restrictions on role combinations. We argue that the semantic roles co-occur in verb representations. It means that…

Computation and Language · Computer Science 2018-10-10 Aliaksandr Huminski , Hao Zhang , Gangeshwar Krishnamurthy

Weighted gradual semantics provide an acceptability degree to each argument representing the strength of the argument, computed based on factors including background evidence for the argument, and taking into account interactions between…

Artificial Intelligence · Computer Science 2024-08-21 Assaf Libman , Nir Oren , Bruno Yun

We present novel semiring semantics for abstract reduction systems (ARSs). More precisely, we provide a weighted version of ARSs, where the reduction steps induce weights from a semiring. Inspired by provenance analysis in database theory…

Logic in Computer Science · Computer Science 2025-05-14 Emma Ahrens , Jan-Christoph Kassing , Jürgen Giesl , Joost-Pieter Katoen

In this paper we have studied the notion of rough convergence of sequences in a partial metric space. We have also investigated how far several relevant results on boundedness, rough limit sets etc. which are valid in a metric space are…

General Topology · Mathematics 2022-11-08 Amar Kumar Banerjee , Sukila Khatun

Current open-domain neural semantics parsers show impressive performance. However, closer inspection of the symbolic meaning representations they produce reveals significant weaknesses: sometimes they tend to merely copy character sequences…

Computation and Language · Computer Science 2024-09-19 Xiao Zhang , Gosse Bouma , Johan Bos

We propose and study a novel supervised approach to learning statistical semantic relatedness models from subjectively annotated training examples. The proposed semantic model consists of parameterized co-occurrence statistics associated…

Computation and Language · Computer Science 2013-11-12 Ran El-Yaniv , David Yanay

Visual attributes are great means of describing images or scenes, in a way both humans and computers understand. In order to establish a correspondence between images and to be able to compare the strength of each property between images,…

Computer Vision and Pattern Recognition · Computer Science 2016-09-14 Yaser Souri , Erfan Noury , Ehsan Adeli

Soft set theory serves as a mathematical framework for handling uncertain information, and hesitant fuzzy sets find extensive application in scenarios involving uncertainty and hesitation. Hesitant fuzzy sets exhibit diverse membership…

Machine Learning · Computer Science 2024-03-11 Shizhan Lu

The purpose of this article is to present a new approach for the discovery and labelling of the implicit conceptual schema of texts through the application of the Thematic Progression theory. The underlying conceptual schema is the core…

Computation and Language · Computer Science 2020-10-16 Elena del Olmo Suárez , Ana María Fernández-Pampillón Cesteros

In this article the idea of random variables over the set theoretic universe is investigated. We explore what it can mean for a random set to have a specific probability of belonging to an antecedently given class of sets.

Logic · Mathematics 2019-03-21 Hazel Brickhill , Leon Horsten

This paper deals with computation trees over an arbitrary structure consisting of a set along with collections of functions and predicates that are defined on it. It is devoted to the comparative analysis of three parameters of problems…

Computational Complexity · Computer Science 2022-01-04 Mikhail Moshkov

In this book, the authors define several new types of soft neutrosophic algebraic structures over neutrosophic algebraic structures and we study their generalizations. These soft neutrosophic algebraic structures are basically parameterized…

General Mathematics · Mathematics 2014-09-15 Mumtaz Ali , Florentin Smarandache , Muhammad Shabir

Residuation theory concerns the study of partially ordered algebraic structures, most often monoids, equipped with a weak inverse for the monoidal operator. One of its area of application has been constraint programming, whose key…

Logic in Computer Science · Computer Science 2021-03-12 Fabio Gadducci , Francesco Santini
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