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Related papers: Simulation of Random LR Fuzzy Intervals

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This study reexamines diffusive representations for fractional integrals with the goal of pioneering new variants of such representations. These variants aim to offer highly efficient numerical algorithms for the approximate computation of…

Numerical Analysis · Mathematics 2025-07-08 Renu Chaudhary , Kai Diethelm

Any learner with the ability to predict the future of a structured time-varying signal must maintain a memory of the recent past. If the signal has a characteristic timescale relevant to future prediction, the memory can be a simple shift…

Artificial Intelligence · Computer Science 2013-10-24 Karthik H. Shankar , Marc W. Howard

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

In this paper, we face the problem of simulating discrete random variables with general and varying distributions in a scalable framework, where fully parallelizable operations should be preferred. The new paradigm is inspired by the…

Methodology · Statistics 2018-01-04 Giacomo Aletti

Clustering multivariate time series data is a crucial task in many domains, as it enables the identification of meaningful patterns and groups in time-evolving data. Traditional approaches, such as crisp clustering, rely on the assumption…

Methodology · Statistics 2025-09-05 Ziling Ma , Ángel López-Oriona , Hernando Ombao , Ying Sun

To deal with uncertainty in reasoning, interval-valued logic has been developed. But uniform intervals cannot capture the difference in degrees of belief for different values in the interval. To salvage the problem triangular and…

Artificial Intelligence · Computer Science 2020-01-08 Sandip Paul , Kumar Sankar Ray , Diganta Saha

In an acceptance monitoring system, acceptance sampling techniques are used to increase production, enhance control, and deliver higher-quality products at a lesser cost. It might not always be possible to define the acceptance sampling…

Methodology · Statistics 2023-11-30 Mahesh Kumar , Ashlyn Maria Mathai

In this paper, a new concept, the fuzzy rate of an operator in linear spaces is proposed for the very first time. Some properties and basic principles of it are studied. Fuzzy rate of an operator $B$ which is specific in a plane is…

General Mathematics · Mathematics 2021-01-05 Yijin Zhang , Honggang Li , Maoming Jin , Zongbing Lin

In this paper we present a method to generate independent samples for a general random variable, either continuous or discrete. The algorithm is an extension of the acceptance-rejection method, and it is particularly useful for kinetic…

Numerical Analysis · Mathematics 2016-08-24 Farzin Barekat , Russel Caflisch

In this paper we provide a general setting to deal with level continuous fuzzy-valued functions. Namely, we embed such functions into a product of spaces of real-valued functions of two variables satisfying certain types of left-continuity,…

General Mathematics · Mathematics 2026-03-31 J. J. Font , S. Macario , M. Sanchis

Complex scientific models where the likelihood cannot be evaluated present a challenge for statistical inference. Over the past two decades, a wide range of algorithms have been proposed for learning parameters in computationally feasible…

Computation · Statistics 2021-12-16 Aden Forrow , Ruth E. Baker

The study addresses the problem of precision in floating-point (FP) computations. A method for estimating the errors which affect intermediate and final results is proposed and a summary of many software simulations is discussed. The basic…

Numerical Analysis · Computer Science 2012-01-31 Glauco Masotti

Fuzzy circular interval graphs are a generalization of proper circular arc graphs and have been recently introduced by Chudnovsky and Seymour as a fundamental subclass of claw-free graphs. In this paper, we provide a polynomial-time…

Discrete Mathematics · Computer Science 2011-04-13 Gianpaolo Oriolo , Ugo Pietropaoli , Gautier Stauffer

The linked cell list algorithm is an essential part of molecular simulation software, both molecular dynamics and Monte Carlo. Though it scales linearly with the number of particles, there has been a constant interest in increasing its…

Computational Physics · Physics 2013-03-19 Ulrich Welling , Guido Germano

A novel procedure to perform fuzzy clustering of multivariate time series generated from different dependence models is proposed. Different amounts of dissimilarity between the generating models or changes on the dynamic behaviours over…

Methodology · Statistics 2021-09-09 Ángel López-Oriona , José A. Vilar , Pierpaolo-D'Urso

In some complicated datasets, due to the presence of noisy data points and outliers, cluster validity indices can give conflicting results in determining the optimal number of clusters. This paper presents a new validity index for…

Machine Learning · Computer Science 2020-05-20 Mohammad Hossein Fazel Zarandi , Shahabeddin Sotudian , Oscar Castillo

The theory of fuzzy mathematics has been proven very effective for defining and solving optimization problems. Fuzzy quadratic programming (FQP) is a consequence of this approach. In this paper, an algorithm has been proposed to solve FQP…

General Mathematics · Mathematics 2022-07-25 Sajal Chakroborty

Diffusive representations of fractional differential and integral operators can provide a convenient means to construct efficient numerical algorithms for their approximate evaluation. In the current literature, many different variants of…

Numerical Analysis · Mathematics 2024-07-15 Kai Diethelm

Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately…

Numerical Analysis · Mathematics 2022-04-12 Kai Diethelm

We give a geometrically motivated measure of skewness, define a mean value triangle number, and dispersion (in that order) of a fuzzy number without reference or seeking analogy to the namesake but parallel concepts in probability theory.…

Other Statistics · Statistics 2020-11-03 Jan Schneider
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