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Related papers: Fuzzy Relational Equations and Neutrosophic Relati…

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We present a new class of fluctuation relations, to which we will refer as Fluctuation Relations for Current Components (FRCCs). FRCCs can be used to estimate system parameters when complete information about nonequilibrium many-body…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Sriram Ganeshan , N. A. Sinitsyn

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

Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations. This paper gives a characterization of the solvability of bipolar max product fuzzy…

General Mathematics · Mathematics 2024-10-11 M. Eugenia Cornejo , David Lobo , Jesús Medina

This paper deals with uncertain dynamical systems in which predictions about the future state of a system are assessed by so called pseudomeasures. Two special cases are stochastic dynamical systems, where the pseudomeasure is the…

chao-dyn · Physics 2016-08-31 Andreas Hamm

We provide a rigorous framework for handling uncertainty in quantitative fault tree analysis based on fuzzy theory. We show that any algorithm for fault tree unreliability analysis can be adapted to this framework in a fully general and…

General Mathematics · Mathematics 2026-01-29 Thi Kim Nhung Dang , Benedikt Peterseim , Milan Lopuhaä-Zwakenberg , Mariëlle Stoelinga

Factorized representations (FRs) are a well-known tool to succinctly represent results of join queries and have been originally defined using the named database perspective. We define FRs in the unnamed database perspective and use them to…

Databases · Computer Science 2024-12-09 Benny Kimelfeld , Wim Martens , Matthias Niewerth

In natural language, often multiple entities appear in the same text. However, most previous works in Relation Extraction (RE) limit the scope to identifying the relation between two entities at a time. Such an approach induces a quadratic…

Computation and Language · Computer Science 2020-10-13 Zhijing Jin , Yongyi Yang , Xipeng Qiu , Zheng Zhang

In this paper we generalize the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Several examples are presented. Also, a geometric interpretation of the Neutrosophic Set is given using…

General Mathematics · Mathematics 2016-11-18 Florentin Smarandache

In this paper, we are trying to examine trade offs between fuzzy logic and certain Bayesian networks and we propose to combine their respective advantages into fuzzy certain Bayesian networks (FCBN), a certain Bayesian networks of fuzzy…

Artificial Intelligence · Computer Science 2012-06-07 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

We study a fuzzy Boltzmann equation, where particles interact via delocalised collisions, in contrast to classical Boltzmann equations. We discuss the existence and uniqueness of solutions and provide a natural variational characterisation…

Analysis of PDEs · Mathematics 2024-04-19 Matthias Erbar , Zihui He

In the subjective Bayesian approach uncertainty is described by a prior distribution chosen by the statistician. Fuzzy set theory is another way of representing uncertainty. Here we give a decision theoretic approach which allows a Bayesian…

Statistics Theory · Mathematics 2008-12-18 Glen Meeden

Fuzzy Neural Networks (FNNs) are effective machine learning models for classification tasks, commonly based on the Takagi-Sugeno-Kang (TSK) fuzzy system. However, when faced with high-dimensional data, especially with noise, FNNs encounter…

Machine Learning · Computer Science 2024-10-18 Yingtao Ren , Yu-Cheng Chang , Thomas Do , Zehong Cao , Chin-Teng Lin

On this thesis we present the fuzzy sets, fuzzy numbers, the fractional derivative and also we discuss the solution of the first order of fuzzy hybrid equation.

General Mathematics · Mathematics 2021-09-17 Aziz Elghazouani

Decision trees have been widely used in machine learning. However, due to some reasons, data collecting in real world contains a fuzzy and uncertain form. The decision tree should be able to handle such fuzzy data. This paper presents a…

Artificial Intelligence · Computer Science 2014-08-14 Jooyeol Yun , Jun won Seo , Taeseon Yoon

Graph theory has successfully used to solve a wide range of problems encountered in diverse fields such as medical sciences, neural networks, control theory, transportation, clustering analysis, expert systems, image capturing, and network…

General Mathematics · Mathematics 2018-06-19 Rajkumar Verma , José M. Merigó , Manoj Sahni

Uncertainty relations provide constraints on how well the outcomes of incompatible measurements can be predicted, and, as well as being fundamental to our understanding of quantum theory, they have practical applications such as for…

Quantum Physics · Physics 2013-05-30 Patrick J. Coles , Roger Colbeck , Li Yu , Michael Zwolak

The treatment of both aleatory and epistemic uncertainty by recent methods often requires an high computational effort. In this abstract, we propose a numerical sampling method allowing to lighten the computational burden of treating the…

Artificial Intelligence · Computer Science 2007-12-14 Eric Chojnacki , Jean Baccou , Sébastien Destercke

Performance measurement of robotic controllers based on fuzzy logic, operating under uncertainty, is a subject area which has been somewhat ignored in the current literature. In this paper standard measures such as RMSE are shown to be…

Robotics · Computer Science 2016-11-17 Naisan Benatar , Uwe Aickelin , Jonathan M. Garibald

How to express an expert's or a decision maker's preference for alternatives is an open issue. Consistent fuzzy preference relation (CFPR) is with big advantages to handle this problem due to it can be construed via a smaller number of…

Artificial Intelligence · Computer Science 2014-03-25 Xinyang Deng , Felix T. S. Chan , Rehan Sadiq , Sankaran Mahadevan , Yong Deng

Fuzzy optimization deals with the problem of determining 'optimal'solutions of an optimization problem when some of the elements that appear in the problem are not precise. In real situations it is usual to have information, in systems…

Optimization and Control · Mathematics 2009-08-27 Victor Blanco , Justo Puerto
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