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Fuzzy systems have achieved great success in numerous applications. However, there are still many challenges in designing an optimal fuzzy system, e.g., how to efficiently optimize its parameters, how to balance the trade-off between…

机器学习 · 计算机科学 2019-07-16 Dongrui Wu , Chin-Teng Lin , Jian Huang , Zhigang Zeng

Covering-based rough set theory is an extension to classical rough set. The main purpose of this paper is to study covering rough sets from a topological point of view. The relationship among upper approximations based on topological spaces…

数据库 · 计算机科学 2012-07-30 Nguyen Duc Thuan

The problem of minimizing fuzzy interpretations in fuzzy description logics (FDLs) is important both theoretically and practically. For instance, fuzzy or weighted social networks can be modeled as fuzzy interpretations, where individuals…

数据结构与算法 · 计算机科学 2026-02-05 Linh Anh Nguyen

Modelling of complex systems is mainly based on the decomposition of these systems in autonomous elements, and the identification and definitio9n of possible interactions between these elements. For this, the agent-based approach is a…

人工智能 · 计算机科学 2013-02-27 Alain-Jérôme Fougères

We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables. We also find the order of this approximation by using…

经典分析与常微分方程 · 数学 2007-09-24 Fatma Tasdelen , Ali Olgun , Gulen Bascanbaz-Tunca

Granular operator spaces and variants had been introduced and used in theoretical investigations on the foundations of general rough sets by the present author over the last few years. In this research, higher order versions of these are…

计算机科学中的逻辑 · 计算机科学 2019-10-15 A. Mani

In this paper, the fuzzy Hausdorff distance is studied, and also the fuzzy equidistant set for two points of a fuzzy metric space is introduced. Here, the fuzzy metric space has been redefined using recently developed fuzzy geometry, and…

This contribution introduces the concept of granular F-transform and investigates its basic properties by using the theory of fuzzy numbers and horizontal membership functions. Further, we present a numerical method based on granular…

数值分析 · 数学 2022-11-18 Abha Tripathi , S. P. Tiwari , J. Kavikumar

The paper proposes a general quasi-interpolation scheme for high-dimensional function approximation. To facilitate error analysis, we view our quasi-interpolation as a two-step procedure. In the first step, we approximate a target function…

数值分析 · 数学 2024-09-24 Wenwu Gao , Jiecheng Wang , Zhengjie Sun , Gregory E. Fasshauer

In the study of investment problem, aside from the investment risk the background risk appears. Both the investment risk and the background risk are probabilistically described by random variables. This paper starts from the hypothesis that…

综合金融 · 定量金融 2019-01-31 Irina Georgescu

We prove the basic trigonometric Korovkin approximation theorem for fuzzy valued functions of two variables and verify the approximation by the help of fuzzy modulus of continuity. Also, we introduce double level Fourier series of fuzzy…

综合数学 · 数学 2021-10-01 Enes Yavuz

We propose a novel two-layer multi-agent architecture aimed at efficient real-time control of large-scale and complex-dynamics systems. The proposed architecture integrates intelligent control approaches (which have a low computation time…

系统与控制 · 电气工程与系统科学 2019-08-29 Anahita Jamshidnejad , Emilio Frazzoli , Mohammad J. Mahjoob , Bart De Schutter

This is a continuation of our earlier paper \cite{PT3}. We consider here operator-valued functions (or infinite matrix functions) on the unit circle $\T$ and study the problem of approximation by bounded analytic operator functions. We…

泛函分析 · 数学 2007-05-23 V. V. Peller , S. R. Treil

In fairly elementary terms this paper presents how the theory of preordered fuzzy sets, more precisely quantale-valued preorders on quantale-valued fuzzy sets, is established under the guidance of enriched category theory. Motivated by…

计算机科学中的逻辑 · 计算机科学 2024-08-16 Javier Gutiérrez García , Hongliang Lai , Lili Shen

This research concerns the estimation of latent linear or polychoric correlations from fuzzy frequency tables. Fuzzy counts are of particular interest to many disciplines including social and behavioral sciences, and are especially relevant…

统计方法学 · 统计学 2022-11-22 Antonio Calcagnì

A classic result of Williamson, Goemans, Mihail, and Vazirani [STOC 1993: 708-717] states that the problem of covering an uncrossable set family by a min-cost edge set admits approximation ratio $2$, by a primal-dual algorithm with a…

数据结构与算法 · 计算机科学 2025-05-27 Zeev Nutov

In this article, I introduce the notion of Fuzzy-based Higher adaptive order sliding mode observers through the example of the super-twisting adaptive order sliding mode observer. I begin by presenting the super-twisting second order…

系统与控制 · 电气工程与系统科学 2021-08-03 Mohamed Camil Belhadjoudja

This paper models a decision support system to predict the occurance of suicide attack in a given collection of cities. The system comprises two parts. First part analyzes and identifies the factors which affect the prediction. Admitting…

人工智能 · 计算机科学 2010-07-29 Athar Kharal

Knowledge reduction of dynamic covering information systems involves with the time in practical situations. In this paper, we provide incremental approaches to computing the type-1 and type-2 characteristic matrices of dynamic coverings…

信息论 · 计算机科学 2023-11-30 Mingjie Cai

Fluid queues are mathematical models frequently used in stochastic modelling. Their stationary distributions involve a key matrix recording the conditional probabilities of returning to an initial level from above, often known in the…

概率论 · 数学 2018-01-19 Nigel Bean , Giang T. Nguyen , Federico Poloni