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Several research initiatives have been proposed for computing similarity between two Fuzzy Sets in analysis through Fuzzy Rough Sets. These techniques yield two measures viz. lower similarity and upper similarity. While in most applications…

人工智能 · 计算机科学 2021-07-05 Nidhika Yadav

Simulations and bisimulations are well-established notions in crisp/fuzzy automata theory and are widely used to compare the behaviors of automata. Their main drawback is that they compare the behaviors of fuzzy automata in a crisp manner.…

形式语言与自动机理论 · 计算机科学 2023-07-10 Linh Anh Nguyen , Ivana Micić , Stefan Stanimirović

The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character. Thus, the current knowledge about those…

泛函分析 · 数学 2016-10-04 Murat Kirisci , Ugur Kadak

In this paper we consider how to use the convolution method to construct approximations, which consist of fuzzy numbers sequences with good properties, for a general fuzzy number. It shows that this convolution method can generate…

综合数学 · 数学 2016-01-25 Huan Huang , Congxin Wu

In this article, a new Fuzzy Granular Approximation Classifier (FGAC) is introduced. The classifier is based on the previously introduced concept of the granular approximation and its multi-class classification case. The classifier is…

人工智能 · 计算机科学 2022-06-06 Marko Palangetić , Chris Cornelis , Salvatore Greco , Roman Słowiński

In this paper we introduce and study semigroups of operators on spaces of fuzzy-number-valued functions, and various applications to fuzzy differential equations are presented. Starting from the space of fuzzy numbers, many new spaces…

偏微分方程分析 · 数学 2013-06-18 Ciprian G. Gal , Sorin G. Gal

One of the weaknesses of classical (fuzzy) rough sets is their sensitivity to noise, which is particularly undesirable for machine learning applications. One approach to solve this issue is by making use of fuzzy quantifiers, as done by the…

人工智能 · 计算机科学 2024-03-19 Adnan Theerens , Chris Cornelis

Fuzzy graph-based structures such as fuzzy automata, fuzzy labeled transition systems, fuzzy Kripke models, fuzzy social networks and fuzzy interpretations in fuzzy description logics are useful in various applications. Given two states,…

数据结构与算法 · 计算机科学 2021-07-20 Linh Anh Nguyen

We explore the implications of using fuzzy techniques (mainly those commonly used in the linguistic description/summarization of data discipline) from a natural language generation perspective. For this, we provide an extensive discussion…

人工智能 · 计算机科学 2016-05-18 A. Ramos-Soto , A. Bugarín , S. Barro

Methods for analyzing or learning from "fuzzy data" have attracted increasing attention in recent years. In many cases, however, existing methods (for precise, non-fuzzy data) are extended to the fuzzy case in an ad-hoc manner, and without…

机器学习 · 计算机科学 2017-10-10 Eyke Hüllermeier

This paper is to consider the problems of estimation and recognition from the perspective of sigma-max inference (probability-possibility inference), with a focus on discovering whether some of the unknown quantities involved could be more…

系统与控制 · 电气工程与系统科学 2022-03-09 Wei Mei , Yunfeng Xu , Limin Liu

In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standard statistical models usually disregard to take into account…

统计理论 · 数学 2019-12-23 Elvira Di Nardo , Rosaria Simone

The fuzzy or soft $k$-means objective is a popular generalization of the well-known $k$-means problem, extending the clustering capability of the $k$-means to datasets that are uncertain, vague, and otherwise hard to cluster. In this paper,…

机器学习 · 计算机科学 2021-11-05 Wasim Huleihel , Arya Mazumdar , Soumyabrata Pal

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…

综合数学 · 数学 2022-07-25 Sajal Chakroborty

The purpose of this paper is to introduce different types of operations on fuzzy ideals of $\Gamma$-semirings and to prove subsequently that these oprations give rise to different structures such as complete lattice, modular lattice on some…

综合数学 · 数学 2011-12-25 T. K. Dutta , Sujit Kumar Sardar , Sarbani Goswami

Fuzzy quantification is a subtopic of fuzzy logic which deals with the modelling of the quantified expressions we can find in natural language. Fuzzy quantifiers have been successfully applied in several fields like fuzzy, control, fuzzy…

人工智能 · 计算机科学 2018-07-20 F. Díaz-Hermida , Juan. C. Vidal

Ordinal regression bridges regression and classification by assigning objects to ordered classes. While human experts rely on discriminative patch-level features for decisions, current approaches are limited by the availability of only…

计算机视觉与模式识别 · 计算机科学 2025-05-20 Chunlai Dong , Haochao Ying , Qibo Qiu , Jinhong Wang , Danny Chen , Jian Wu

Theory of operators generated by binary fuzzy relations is highly increasing for its nature and applicability. The main goal of the paper is to present several representation theorems for operators induced by fuzzy relations (for example…

逻辑 · 数学 2014-06-10 Michal Botur

In this paper, I obtain an $S$-type fuzzy point when two fuzzy numbers for two independent variables and a corresponding fuzzy number for the dependent variable are given. A comprehensive study on a conceptualization of a fuzzy plane as a…

综合数学 · 数学 2024-03-20 Diksha Gupta

Obtaining strong linear relaxations of capacitated covering problems constitute a major technical challenge even for simple settings. For one of the most basic cases, the Knapsack-Cover (Min-Knapsack) problem, the relaxation based on…

数据结构与算法 · 计算机科学 2019-12-30 Andrés Fielbaum , Ignacio Morales , José Verschae