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Many mathematical models utilize limit processes. Continuous functions and the calculus, differential equations and topology, all are based on limits and continuity. However, when we perform measurements and computations, we can achieve…

Artificial Intelligence · Computer Science 2025-10-20 Mark Burgin

Recent technological advances have led to unprecedented amounts of generated data that originate from the Web, sensor networks and social media. Analytics in terms of defeasible reasoning - for example for decision making - could provide…

Logic in Computer Science · Computer Science 2021-02-16 Michael J. Maher , Ilias Tachmazidis , Grigoris Antoniou , Stephen Wade , Long Cheng

Autonomous robots must operate in complex and changing environments subject to requirements on their behaviour. Verifying absolute satisfaction (true or false) of these requirements is challenging. Instead, we analyse requirements that…

Software Engineering · Computer Science 2021-04-13 Jeremy Morse , Dejanira Araiza-Illan , Jonathan Lawry , Arthur Richards , Kerstin Eder

There are two kinds of bisimulation, namely crisp and fuzzy, between fuzzy structures such as fuzzy automata, fuzzy labeled transition systems, fuzzy Kripke models and fuzzy interpretations in description logics. Fuzzy bisimulations between…

Logic in Computer Science · Computer Science 2021-06-16 Linh Anh Nguyen

Learning an explainable classifier often results in low accuracy model or ends up with a huge rule set, while learning a deep model is usually more capable of handling noisy data at scale, but with the cost of hard to explain the result and…

Artificial Intelligence · Computer Science 2022-11-11 Yuanlong Li , Gaopan Huang , Min Zhou , Chuan Fu , Honglin Qiao , Yan He

Logical rules are a popular knowledge representation language in many domains, representing background knowledge and encoding information that can be derived from given facts in a compact form. However, rule formulation is a complex process…

Artificial Intelligence · Computer Science 2020-02-13 Cristina Cornelio , Veronika Thost

The increasing ease of obtaining and processing data together with the growth in system complexity has sparked the interest in moving from conventional model-based control design towards data-driven concepts. Since in many engineering…

Optimization and Control · Mathematics 2021-07-29 Juan G. Rueda-Escobedo , Emilia Fridman , Johannes Schiffer

Differentiable logics are a family of quantitative logics originated in the machine learning literature. Because of their origin, differentiable logics often come equipped with analytic properties that guarantee that they are…

Logic in Computer Science · Computer Science 2026-03-02 Reynald Affeldt , Alessandro Bruni , Ekaterina Komendantskaya , Natalia Ślusarz , Kathrin Stark

The basic aim of our study is to give a possible model for handling uncertain information. This model is worked out in the framework of DATALOG. At first the concept of fuzzy Datalog will be summarized, then its extensions for…

Artificial Intelligence · Computer Science 2010-04-08 Agnes Achs

The concept of uncertainty is posed in almost any complex system including parallel robots as an outstanding instance of dynamical robotics systems. As suggested by the name, uncertainty, is some missing information that is beyond the…

Systems and Control · Computer Science 2016-12-06 Hamid Reza Hassanzadeh

The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a…

Artificial Intelligence · Computer Science 2012-06-13 Mohamed Nazih Omri

The flock-guidance problem enjoys a challenging structure where multiple optimization objectives are solved simultaneously. This usually necessitates different control approaches to tackle various objectives, such as guidance, collision…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Shuzheng Qu , Mohammed Abouheaf , Wail Gueaieb , Davide Spinello

In this paper, we focus on exploiting neural networks for the analysis and planning stage in self-adaptive architectures. The studied motivating cases in the paper involve existing (legacy) self-adaptive architectures and their adaptation…

The aim of this research is to develop a reasoning under uncertainty strategy in the context of the Fuzzy Inductive Reasoning (FIR) methodology. FIR emerged from the General Systems Problem Solving developed by G. Klir. It is a data driven…

Artificial Intelligence · Computer Science 2012-12-12 Francisco Mugica , Angela Nebot , Pilar Gomez

Classical machine learning techniques often struggle with overfitting and unreliable predictions when exposed to novel conditions. Introducing causality into the modelling process offers a promising way to mitigate these challenges by…

Computational Engineering, Finance, and Science · Computer Science 2025-05-28 David Zapata Gonzalez , Marcel Meyer , Oliver Mueller

Modern applications combine information from a great variety of sources. Oftentimes, some of these sources, like Machine-Learning systems, are not strictly binary but associated with some degree of (lack of) confidence in the observation.…

Logic in Computer Science · Computer Science 2022-05-17 Matthias Lanzinger , Stefano Sferrazza , Georg Gottlob

In this paper we propose a novel approach for learning from data using rule based fuzzy inference systems where the model parameters are estimated using Bayesian inference and Markov Chain Monte Carlo (MCMC) techniques. We show the…

Machine Learning · Statistics 2018-06-25 Indranil Pan , Dirk Bester

Interpretability has always been a major concern for fuzzy rule-based classifiers. The usage of human-readable models allows them to explain the reasoning behind their predictions and decisions. However, when it comes to Big Data…

Machine Learning · Computer Science 2019-02-26 Mikel Elkano , Jose Sanz , Edurne Barrenechea , Humberto Bustince , Mikel Galar

In a recent paper [1] we introduced the Fuzzy Bayesian Learning (FBL) paradigm where expert opinions can be encoded in the form of fuzzy rule bases and the hyper-parameters of the fuzzy sets can be learned from data using a Bayesian…

Machine Learning · Statistics 2017-04-07 Indranil Pan , Dirk Bester

Fuzzy logic programming is a growing declarative paradigm aiming to integrate fuzzy logic into logic programming. One of the most difficult tasks when specifying a fuzzy logic program is determining the right weights for each rule, as well…

Programming Languages · Computer Science 2016-08-17 Ginés Moreno , Jaime Penabad , Germán Vidal