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Impulsive noise is a problem encountered during the acquisition and transmission of digital images. Fuzzy metrics dealing nicely with the nonlinear nature of digital images are used in vector median-based filters for noise reduction in…

Classical Analysis and ODEs · Mathematics 2018-09-25 Kamran Alam Khan

Graph-based methods have been proposed as a unified framework for discrete calculus of local and nonlocal image processing methods in the recent years. In order to translate variational models and partial differential equations to a graph,…

Numerical Analysis · Mathematics 2018-12-10 Ronny Bergmann , Daniel Tenbrinck

A characterization of flat ideals in the unit interval with the canonical fuzzy order is obtained with the help of the ordinal sum decomposition of continuous t-norms. This characterization will be useful in the study of topological and…

General Mathematics · Mathematics 2018-01-19 Hongliang Lai , Dexue Zhang , Gao Zhang

In this paper, generalised intuitionistic fuzzy soft sets and relations on generalised intuitionistic fuzzy soft sets are defined and a few of their properties are studied. An application of generalised intuitionistic fuzzy soft sets in…

General Mathematics · Mathematics 2010-10-13 Bivas Dinda , Tuhin Bera , T. K. Samanta

The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper we study convex graph invariants, which are graph invariants…

Optimization and Control · Mathematics 2012-09-21 Venkat Chandrasekaran , Pablo A. Parrilo , Alan S. Willsky

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

We estimate fair graphs from graph-stationary nodal observations such that connections are not biased with respect to sensitive attributes. Edges in real-world graphs often exhibit preferences for connecting certain pairs of groups. Biased…

Machine Learning · Computer Science 2025-10-10 Madeline Navarro , Andrei Buciulea , Samuel Rey , Antonio G. Marques , Santiago Segarra

A temporal graph is a data structure, consisting of nodes and edges in which the edges are associated with time labels. To analyze the temporal graph, the first step is to find a proper graph dataset/benchmark. While many temporal graph…

Social and Information Networks · Computer Science 2017-03-09 Wouter Ligtenberg , Yulong Pei

From last decade, when Molodtsov introduced the theory of soft set as a new approach to deal with uncertainties, until now this theory was considered sharply by a fair number of researchers. Combination of fuzzy set theory and soft set…

Functional Analysis · Mathematics 2013-09-20 Azadeh Zahedi Khameneh , Adem Kilicman , Abdul Razak Salleh

In this paper defuzzification method of WABL is investigated, its properties are analyzed. The WABL method is applied to some fuzzy models. The package of applied programs is worked out on the base of proposed algorithms. The obtained in…

Logic · Mathematics 2008-11-25 Shikhlinskaya R. Y.

A model's interpretability is essential to many practical applications such as clinical decision support systems. In this paper, a novel interpretable machine learning method is presented, which can model the relationship between input…

Machine Learning · Computer Science 2022-12-06 Heming Yao , Harm Derksen , Jessica R. Golbus , Justin Zhang , Keith D. Aaronson , Jonathan Gryak , Kayvan Najarian

The fuzzy integral is a powerful parametric nonlin-ear function with utility in a wide range of applications, from information fusion to classification, regression, decision making,interpolation, metrics, morphology, and beyond. While the…

Artificial Intelligence · Computer Science 2020-10-22 Derek Anderson , Matthew Deardorff , Timothy Havens , Siva Kakula , Timothy Wilkin , Muhammad Islam , Anthony Pinar , Andrew Buck

There are many research available on the study of real-valued fractal interpolation function and fractal dimension of its graph. In this paper, our main focus is to study the dimensional results for vector-valued fractal interpolation…

Dynamical Systems · Mathematics 2022-07-27 Manuj Verma , Amit Priyadarshi , Saurabh Verma

In this paper, we introduce the notion of fuzzy soft numbers. Here defined fuzzy soft number and four arithmetic operations $ \tilde{+}, \tilde{-}, \tilde{\times}, \tilde{\div} $ and related properties. Also introduce Hausdorff distance,…

General Mathematics · Mathematics 2021-12-28 Manash Jyoti Borah , Bipan Hazarika

Software requirement selection is to find an optimal set of requirements that gives the highest value for a release of software while keeping the cost within the budget. However, value-related dependencies among software requirements may…

Software Engineering · Computer Science 2020-03-04 Davoud Mougouei , David M. W. Powers

We study a statistical data depth with respect to compact convex random sets which is consistent with the multivariate Tukey depth and the Tukey depth for fuzzy sets. In doing so, we provide a series of properties for statistical data depth…

Statistics Theory · Mathematics 2022-06-30 Luis González-De La Fuente , Alicia Nieto-Reyes , Pedro Terán

The need to measure bias encoded in tabular data that are used to solve pattern recognition problems is widely recognized by academia, legislators and enterprises alike. In previous work, we proposed a bias quantification measure, called…

Machine Learning · Computer Science 2022-01-24 Gonzalo Nápoles , Lisa Koutsoviti Koumeri

This paper is concerned with the study of fuzzy dynamical systems. Let (X;M; *) be a fuzzy metric space in the sense of George and Veeramani. A fuzzy discrete dynamical system is given by any fuzzy continuous self-map defined on X. We…

Dynamical Systems · Mathematics 2015-05-28 Mehdi Fatehi Nia

An emerging way of tackling the dimensionality issues arising in the modeling of a multivariate process is to assume that the inherent data structure can be captured by a graph. Nevertheless, though state-of-the-art graph-based methods have…

Machine Learning · Statistics 2016-07-13 Andreas Loukas , Nathanael Perraudin

We investigate the property of a spatial graph of having a leveled embedding and characterize the abstract graphs with this property. We show that all leveled embeddings are free and we compare leveled and paneled (also known as flat)…

Combinatorics · Mathematics 2025-09-22 Senja Barthel , Fabio Buccoliero
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