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Neurosymbolic AI focuses on integrating learning and reasoning, in particular, on unifying logical and neural representations. Despite the existence of an alphabet soup of neurosymbolic AI systems, the field is lacking a generally accepted…

Artificial Intelligence · Computer Science 2025-07-16 Lennert De Smet , Luc De Raedt

In this paper, we consider the problem of invariant set computation for black-box switched linear systems using merely a finite set of observations of system trajectories. In particular, this paper focuses on polyhedral invariant sets. We…

Systems and Control · Electrical Eng. & Systems 2020-12-18 Zheming Wang , Raphaël M. Jungers

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. S.K Sardar and S.K. Majumder unified the idea of fuzzy translation and fuzzy multiplication of Vasantha Kandasamy to…

General Mathematics · Mathematics 2011-02-02 Sujit Kumar Sardar , Manasi Mandal , Samit Kumar Majumder

In this paper, we generate and control semantically interpretable filters that are directly learned from natural images in an unsupervised fashion. Each semantic filter learns a visually interpretable local structure in conjunction with…

Computer Vision and Pattern Recognition · Computer Science 2019-02-19 Mohit Prabhushankar , Gukyeong Kwon , Dogancan Temel , Ghassan AlRegib

We propose learning flexible but interpretable functions that aggregate a variable-length set of permutation-invariant feature vectors to predict a label. We use a deep lattice network model so we can architect the model structure to…

Machine Learning · Computer Science 2018-06-04 Andrew Cotter , Maya Gupta , Heinrich Jiang , James Muller , Taman Narayan , Serena Wang , Tao Zhu

In this paper we analyse the benefits of incorporating interval-valued fuzzy sets into the Bousi-Prolog system. A syntax, declarative semantics and im- plementation for this extension is presented and formalised. We show, by using potential…

Artificial Intelligence · Computer Science 2021-01-07 Clemente Rubio-Manzano , Martin Pereira-Fariña

We introduce ProtoSeg, a novel model for interpretable semantic image segmentation, which constructs its predictions using similar patches from the training set. To achieve accuracy comparable to baseline methods, we adapt the mechanism of…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Mikołaj Sacha , Dawid Rymarczyk , Łukasz Struski , Jacek Tabor , Bartosz Zieliński

In this manuscript the idea of soft convex structures is given and some of their properties are investigated. Also, soft convex sets, soft concave sets and soft convex hull operator are defined and their properties are studied. Moreover,…

General Mathematics · Mathematics 2024-05-31 José Sanabria , Adolfo Pimienta , Semiramis Zambrano

A new definition of random sets is proposed. It is based on the distance in measurable space and uses negative definite kernels for continuation from initial space to that of random sets. This approach has no connection to Hausdorff…

Probability · Mathematics 2017-12-29 Vesna Gotovac , Kateřina Helisova , Lev B. Klebanov , Irina V. Volchenkova

A few of the algebraic and topological properties of int. fuzzy continuity and int. fuzzy uniform continuity are investigated. Also, the concept of int. fuzzy uniform convergence is introduced thereafter a few result on int. fuzzy uniform…

General Mathematics · Mathematics 2009-11-10 Bivas Dinda , T. K. Samanta

In recent years, non-monotonic Inductive Logic Programming has received growing interest. Specifically, several new learning frameworks and algorithms have been introduced for learning under the answer set semantics, allowing the learning…

Artificial Intelligence · Computer Science 2018-08-28 Mark Law , Alessandra Russo , Krysia Broda

In this paper, the definitions of soft {\Gamma}-semirings and soft sub {\Gamma}-semi rings are introduced with the aid of the concept of soft set theory introduced by Molodtsov. In the mean time, some of their properties and structural…

Rings and Algebras · Mathematics 2012-02-08 Özcan Bektaş , Nurten Bayrak , Bayram Ali Ersoy

Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because…

Artificial Intelligence · Computer Science 2014-06-10 Florentin Smarandache

This paper introduces the concept of symbolic sensor as an extension of the smart sensor one. Then, the links between the physical world and the symbolic one are introduced. The creation of symbols is proposed within the frame of the…

Instrumentation and Detectors · Physics 2007-05-23 Eric Benoit , Laurent Foulloy

We introduce a monotone modal analogue of the intuitionistic (normal) modal logic IK using a translation into a suitable (intuitionistic) first-order logic. We axiomatise the logic and give a semantics by means of intuitionistic…

Logic · Mathematics 2025-07-21 Jim de Groot

Autonomous systems face the intricate challenge of navigating unpredictable environments and interacting with external objects. The successful integration of robotic agents into real-world situations hinges on their perception capabilities,…

Robotics · Computer Science 2025-02-10 Enrico Donato , Thomas George Thuruthel , Egidio Falotico

In this paper, the interval-valued intuitionistic fuzzy matrix (IVIFM) is introduced. The interval-valued intuitionistic fuzzy determinant is also defined. Some fundamental operations are also presented. The need of IVIFM is explain by an…

Discrete Mathematics · Computer Science 2014-04-29 Susanta Kumar Khan , Madhumangal Pal

Information algebra is algebraic structure for local computation and inference. Given an initial universe set and a parameter set, we show that a soft set system over them is an information algebra. Moreover, in a soft set system, the…

Information Theory · Computer Science 2012-01-17 Xuechong Guan , Yongming Li

In this paper, we define an intuitionistic version of Computation Tree Logic. After explaining the semantic features of intuitionistic logic, we examine how these characteristics can be interesting for formal verification purposes.…

Logic in Computer Science · Computer Science 2023-10-05 Davide Catta , Vadim Malvone , Aniello Murano

In this paper an idea of soft linear spaces and soft norm on soft linear spaces are given and some of their properties are studied. Soft vectors in soft linear spaces are introduced and their properties are studied. Completeness of soft…

General Mathematics · Mathematics 2013-08-06 Sujoy Das , Pinaki Majumdar , S. K. Samanta