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Fuzzy implication functions are a key area of study in fuzzy logic, extending the classical logical conditional to handle truth degrees in the interval $[0,1]$. While existing literature often focuses on a limited number of families, in the…

Artificial Intelligence · Computer Science 2025-03-11 Raquel Fernandez-Peralta

The planning of attractive and cost efficient public transport systems is a highly complex optimization process involving many steps. Integrating robustness from a passenger's point of view makes the task even more challenging. With…

Machine Learning · Computer Science 2021-06-17 Matthias Müller-Hannemann , Ralf Rückert , Alexander Schiewe , Anita Schöbel

Our aim of this paper is to develop new map matching algorithms and to improve upon previous work. We address two key approaches: Analytic Hierarchy Process (AHP) map matching and fuzzy logic map matching. AHP is a decision-making method…

Computational Geometry · Computer Science 2024-02-20 Jeremy J. Lin , Tomoro Mochida , Riley C. W. O'Neill , Atsuro Yoshida , Masashi Yamazaki , Akinobu Sasada

Probabilistic Soft Logic has been proposed and used in several applications as an efficient way to deal with inconsistency, uncertainty and relational representation. In several applications, this approach has led to an adequate description…

Logic in Computer Science · Computer Science 2016-11-22 Vladik Kreinovich , Chitta Baral

The need to reason about uncertainty in large, complex, and multi-modal datasets has become increasingly common across modern scientific environments. The ability to transform samples from one distribution $P$ to another distribution $Q$…

Machine Learning · Statistics 2018-11-30 Diego A. Mesa , Justin Tantiongloc , Marcela Mendoza , Todd P. Coleman

Real-valued logics underlie an increasing number of neuro-symbolic approaches, though typically their logical inference capabilities are characterized only qualitatively. We provide foundations for establishing the correctness and power of…

Logic in Computer Science · Computer Science 2022-09-01 Ronald Fagin , Ryan Riegel , Alexander Gray

This paper investigates fuzzy nonlinear system equations using an optimization approach. Here, the inner-outer direct search technique is used with fuzzy coefficients and vectors to quantify the uncertain solution. The fuzzy nonlinear…

Optimization and Control · Mathematics 2022-06-02 Paresh Kumar Panigrahi , Sukanta Nayak , Sudipta Priyadarshini

In line with the increasing attention paid to deal with uncertainty in ordinal data models, we propose to combine Fuzzy models with \cub models within questionnaire analysis. In particular, the focus will be on \cub models' uncertainty…

Applications · Statistics 2016-06-22 E. Di Nardo , R. Simone

This paper presents a method of optimization, based on both Bayesian Analysis technical and Gallois Lattice, of a Fuzzy Semantic Networks. The technical System we use learn by interpreting an unknown word using the links created between…

Artificial Intelligence · Computer Science 2012-06-11 Mohamed Nazih Omri

In this article, we describe the fuzzy logic, fuzzy language and algorithms as the basis of fuzzy reasoning, one of the intelligent information processing method, and then describe the general fuzzy reasoning method.

Artificial Intelligence · Computer Science 2016-04-13 Kwak Son Il

We present a propositional logic to reason about the uncertainty of events, where the uncertainty is modeled by a set of probability measures assigning an interval of probability to each event. We give a sound and complete axiomatization…

Artificial Intelligence · Computer Science 2014-08-08 Joseph Y. Halpern , Riccardo Pucella

Functional lifting methods provide a tool for approximating solutions of difficult non-convex problems by embedding them into a larger space. In this work, we investigate a mathematically rigorous formulation based on embedding into the…

Optimization and Control · Mathematics 2020-07-07 Thomas Vogt , Roland Haase , Danielle Bednarski , Jan Lellmann

Reliability assessment of distribution system, based on historical data and probabilistic methods, leads to an unreliable estimation of reliability indices since the data for the distribution components are usually inaccurate or…

Artificial Intelligence · Computer Science 2017-07-17 Ahmad Shokrollahi , Hossein Sangrody , Mahdi Motalleb , Mandana Rezaeiahari , Elham Foruzan , Fattah Hassanzadeh

Contemporary undertakings provide limitless opportunities for widespread application of machine reasoning and artificial intelligence in situations characterised by uncertainty, hostility and sheer volume of data. The paper develops a…

Artificial Intelligence · Computer Science 2022-08-05 Branko Ristic , Alessio Benavoli , Sanjeev Arulampalam

Combining symbolic and neural approaches has gained considerable attention in the AI community, as it is often argued that the strengths and weaknesses of these approaches are complementary. One such trend in the literature are weakly…

Artificial Intelligence · Computer Science 2020-06-08 Emile van Krieken , Erman Acar , Frank van Harmelen

Methods for analyzing or learning from "fuzzy data" have attracted increasing attention in recent years. In many cases, however, existing methods (for precise, non-fuzzy data) are extended to the fuzzy case in an ad-hoc manner, and without…

Machine Learning · Computer Science 2017-10-10 Eyke Hüllermeier

Probabilistic Logic Programming is an effective formalism for encoding problems characterized by uncertainty. Some of these problems may require the optimization of probability values subject to constraints among probability distributions…

Logic in Computer Science · Computer Science 2023-06-22 Damiano Azzolini , Fabrizio Riguzzi

Fuzzy reasoning is a very productive research field that during the last years has provided a number of theoretical approaches and practical implementation prototypes. Nevertheless, the classical implementations, like Fril, are not adapted…

Programming Languages · Computer Science 2009-03-13 Victor Pablos Ceruelo , Susana Munoz-Hernandez , Hannes Strass

Hub location Problems seek to find hub facilities and assign non-hub nodes to them in such a way that the flow between origin and destination should be effectively established according to the desired goal. In general, in the literature of…

General Mathematics · Mathematics 2025-06-17 Ali Mohammad Malekdar , Mohsen Akbarpour Shirazi

Modelling of complex systems is mainly based on the decomposition of these systems in autonomous elements, and the identification and definitio9n of possible interactions between these elements. For this, the agent-based approach is a…

Artificial Intelligence · Computer Science 2013-02-27 Alain-Jérôme Fougères
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