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The aim of this article is to prove strong convergence results on the difference between the solution to highly oscillatory problems posed in thin domains and its two-scale expansion. We first consider the case of the linear diffusion…

偏微分方程分析 · 数学 2025-07-29 Virginie Ehrlacher , Arthur Lebée , Frédéric Legoll , Adrien Lesage

The paper examines the problems related to the well-posedness of the Cucker-Smale model with communication restricted to the $q$-closest neighbors, known also as the Cucker-Dong model. With agents oscillating on the boundary of different…

偏微分方程分析 · 数学 2022-10-12 Piotr B. Mucha , Jan Peszek

In this paper, we give some properties of fuzzy Riesz homomorphism on fuzzy Riesz space. We give definitions of fuzzy quotient spaces, and some characterizations of fuzzy Archimedean quotient spaces. We prove the properties which fuzzy…

综合数学 · 数学 2021-04-16 N. Cheng , G. G. Chen

A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is also…

流体动力学 · 物理学 2010-11-03 Helmut Abels , Harald Garcke , Günther Grün

We construct spherical harmonics for fuzzy spheres of even and odd dimensions, generalizing the correspondence between finite matrix algebras and fuzzy two-spheres. The finite matrix algebras associated with the various fuzzy spheres have a…

高能物理 - 理论 · 物理学 2014-11-18 Sanjaye Ramgoolam

In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We study basic operations on bipolar fuzzy soft set. We define exdended…

人工智能 · 计算机科学 2014-03-10 Muhammad Aslam , Saleem Abdullah , Kifayat ullah

One of the nice properties of the first-order logic is the compactness of satisfiability. It state that a finitely satisfiable theory is satisfiable. However, different degrees of satisfiability in many-valued logics, poses various kind of…

逻辑 · 数学 2022-06-02 Seyed Mohammad Amin Khatami

Fuzzy regression models have been applied to several Operations Research applications viz., forecasting and prediction. Earlier works on fuzzy regression analysis obtain crisp regression coefficients for eliminating the problem of…

人工智能 · 计算机科学 2013-07-09 Arindam Chaudhuri , Kajal De

In this paper, we consider the system of linear equations $Ax=b$, where $A\in \Bbb{R}^{n \times n}$ is a crisp H-matrix and $b$ is a fuzzy $n$-vector. We then investigate the existence and uniqueness of a fuzzy solution to this system. The…

数值分析 · 数学 2015-03-30 Davod Khojasteh Salkuyeh

In this work, topological spaces are enriched by additional structures in order to give a more realistic representation of real life phenomena and computational processes and at the same time, to provide for utilization of the powerful…

一般拓扑 · 数学 2007-05-23 M. Burgin

A new distance function dist(A,B) for fuzzy sets A and B is introduced. It is based on the descriptive complexity, i.e., the number of bits (on average) that are needed to describe an element in the symmetric difference of the two sets. The…

人工智能 · 计算机科学 2010-12-16 Laszlo Kovacs , Joel Ratsaby

In the paper [E. Jim\'enez-Fern\'andez, J. Rodr\'{\i}guez-L\'opez, E. A. S\'anchez-P\'erez, Fuzzy Sets and Systems 406 (2021),66-81], a McShane-Whitney extension theorem is presented for real-valued fuzzy Lipschitz maps between fuzzy metric…

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…

综合数学 · 数学 2018-06-19 Rajkumar Verma , José M. Merigó , Manoj Sahni

In this work we extend the range of applicability of a method recently introduced where coupled first-order nonlinear equations can be put into a linear form, and consequently be solved completely. Some general consequences of the present…

高能物理 - 理论 · 物理学 2008-11-26 A. de Souza Dutra , A. C. Amaro de Faria

Consistency relations, which relate the squeezed limit of an (N+1)-point correlation function to an N-point function, are non-perturbative symmetry statements that hold even if the associated high momentum modes are deep in the nonlinear…

高能物理 - 理论 · 物理学 2015-10-07 Bart Horn , Lam Hui , Xiao Xiao

We use princiles of fuzzy logic to develop a general model representing several processes in a system's operation characterized by a degree of vagueness and/or uncertainy. Further, we introduce three altenative measures of a fuzzy system's…

人工智能 · 计算机科学 2012-12-12 Michael Gr. Voskoglou

In this paper, we first give the cartesian product of two neutrosophic multi sets(NMS). Then, we define relations on neutrosophic multi sets to extend the intuitionistic fuzzy multi relations to neutrosophic multi relations. The relations…

逻辑 · 数学 2015-06-15 Said Broumi , Irfan Deli , Florentin Smarandache

Social network analysis (SNA) helps us understand the relationships and interactions between individuals, groups, organizations, or other social entities. In the literature, ties are generally considered binary or weighted based on their…

统计方法学 · 统计学 2024-11-18 Annamaria Porreca , Fabrizio Maturo , Viviana Ventre

In this note, we give solutions to Problems $9.4$ and $9.5,$ which were presented by Mesiar and Stup\v{n}anov\'{a} [{\it Open problems from the 12th International Conference on Fuzzy Set Theory and Its Applications}, Fuzzy Sets and Systems…

统计理论 · 数学 2015-01-14 Michał Boczek , Marek Kaluszka

A cluster expansion is proposed, that applies to both continuous and discrete systems. The assumption for its convergence involves an extension of the neat Kotecky-Preiss criterion. Expressions and estimates for correlation functions are…

数学物理 · 物理学 2007-05-23 Daniel Ueltschi