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Multidimensional association rule mining searches for interesting relationship among the values from different dimensions or attributes in a relational database. In this method the correlation is among set of dimensions i.e., the items…

Information Retrieval · Computer Science 2009-09-29 Neelu Khare , Neeru Adlakha , K. R. Pardasani

Many state-of-the-art technologies developed in recent years have been influenced by machine learning to some extent. Most popular at the time of this writing are artificial intelligence methodologies that fall under the umbrella of deep…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Stanton R. Price , Steven R. Price , Derek T. Anderson

In this article one builds a class of recursive sets, one establishes properties of these sets, and one proposes applications.

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

Tracking of reference signals is addressed in the context of a class of nonlinear controlled systems modelled by $r$-th order functional differential equations, encompassing inter alia systems with unknown "control direction" and dead-zone…

Optimization and Control · Mathematics 2021-01-18 Thomas Berger , Achim Ilchmann , Eugene P Ryan

In this article we investigate a way in which quantum computing can be used to extend the class of fuzzy sets. The core idea is to see states of a quantum register as characteristic functions of quantum fuzzy subsets of a given set. As the…

Logic in Computer Science · Computer Science 2007-05-23 Mirco A. Mannucci

In this article, we apply the concept of bipolar fuzzy sets to hypergraphs and investigate some properties of bipolar fuzzy hypergraphs. We introduce the notion of $A-$ tempered bipolar fuzzy hypergraphs and present some of their…

Combinatorics · Mathematics 2015-01-27 M. Akram , W. A. Dudek , S. Sarwar

Shift radix systems form a collection of dynamical systems depending on a parameter $\mathbf{r}$ which varies in the $d$-dimensional real vector space. They generalize well-known numeration systems such as beta-expansions, expansions with…

Dynamical Systems · Mathematics 2010-11-08 Valérie Berthé , Anne Siegel , Wolfgang Steiner , Paul Surer , Jörg Thuswaldner

In this note we consider several kind of partition functions of one-dimensional models with nearest - neighbor interactions $I_n, n\in \mathbf{Z}$ and spin values $\pm 1$. We derive systems of recursive equations for each kind of such…

Dynamical Systems · Mathematics 2009-04-07 U. A. Rozikov

We present a unified logical framework for representing and reasoning about both quantitative and qualitative preferences in fuzzy answer set programming, called fuzzy answer set optimization programs. The proposed framework is vital to…

Artificial Intelligence · Computer Science 2013-04-11 Emad Saad

A fuzzy theoretic analytical approach was recently introduced that leads to efficient and robust models while addressing automatically the typical issues associated to parametric deep models. However, a formal conceptualization of the fuzzy…

Machine Learning · Computer Science 2022-06-13 Mohit Kumar , Bernhard A. Moser , Lukas Fischer , Bernhard Freudenthaler

We give an extension to a nonconvex setting of the classical radial representation result for lower semicontinuous envelope of a convex function on the boundary of its effective domain. We introduce the concept of radial uniform upper…

Classical Analysis and ODEs · Mathematics 2013-09-18 Omar Anza Hafsa , Jean-Philippe Mandallena

Fuzzy rough set (FRS) has a great effect on data mining processes and the fuzzy logical operators play a key role in the development of FRS theory. In order to further generalize the FRS theory to more complicated data environments, we…

General Mathematics · Mathematics 2022-05-23 Gongao Qi , Bin Yang , Wei Li

The increasing rise in artificial intelligence has made the use of imprecise language in computer programs like ChatGPT more prominent. Fuzzy logic addresses this form of imprecise language by introducing the concept of fuzzy sets, where…

Databases · Computer Science 2023-11-08 Kevin Min , Hayden Jananthan , Jeremy Kepner

Computer vision applications are omnipresent nowadays. The current paper explores the use of fuzzy logic in computer vision, stressing its role in handling uncertainty, noise, and imprecision in image data. Fuzzy logic is able to model…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Adilet Yerkin , Ayan Igali , Elnara Kadyrgali , Maksat Shagyrov , Malika Ziyada , Muragul Muratbekova , Pakizar Shamoi

A presentation is provided of the basic notions and operations of a) the propositional calculus of a variant of fuzzy logic -- canonical fuzzy logic, CFL -- and in a more succinct and introductory way, of b) the theory of fuzzy sets…

Logic · Mathematics 2021-05-27 Osvaldo Skliar , Sherry Gapper , Ricardo E. Monge

A fuzzy version of the ordinary round 2-sphere has been constructed with an invariant curvature. We here consider linear connections on arbitrary fuzzy surfaces of genus zero. We shall find as before that they are more or less rigidly…

General Relativity and Quantum Cosmology · Physics 2009-10-30 J. Madore

In this paper a vision-based vehicles recognition method is presented. Proposed method uses fuzzy description of image segments for automatic recognition of vehicles recorded in image data. The description takes into account selected…

Computer Vision and Pattern Recognition · Computer Science 2011-12-20 Bartłomiej Płaczek

In this paper we consider systems which consist of binary components with known reliabilities. We discuss their algebraic properties and define the corresponding algebraic structure, which we call the reliability algebra. We prove that the…

Logic in Computer Science · Computer Science 2023-07-28 Branislav Boričić , Mirjana Ilić , Jelena Stanojević

Intuitionistic fuzzy Banach algebra is introduced and a few properties of it is studied. The properties of invertible elements and relation among invertible elements, open set, closed set are emphasized. Topological divisors of zero is…

General Mathematics · Mathematics 2010-09-20 Bivas Dinda , T. K. Samanta , U. K. Bera

In this paper will be introduced large, probably complete family of complex base systems, which are 'proper' - for each point of the space there is a representation which is unique for all but some zero measure set. The condition defining…

Dynamical Systems · Mathematics 2008-02-24 Jarek Duda