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In this note, we present a novel measure of similarity between two functions. It quantifies how the sub-optimality gaps of two functions convert to each other, and unifies several existing notions of functional similarity. We show that it…

机器学习 · 计算机科学 2025-01-15 Chengpiao Huang , Kaizheng Wang

Especially in research areas of computer science such as data mining, image segmentation, clustering image capturing and networking. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that…

离散数学 · 计算机科学 2014-05-26 Hossein Rashmanlou , Madhumangal Pal

This version is ***superseded*** by a full version that can be found at http://www.itu.dk/people/pagh/papers/mining-jour.pdf, which contains stronger theoretical results and fixes a mistake in the reporting of experiments. Abstract:…

数据结构与算法 · 计算机科学 2010-02-17 Andrea Campagna , Rasmus Pagh

In this paper, we propose several statistics for testing uniformity under progressive Type-I interval censoring. We obtain the critical points of these statistics and study the power of the proposed tests against a representative set of…

统计理论 · 数学 2017-04-25 H. Nadeb , H. Torabi , G. G. Hamedani

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.…

其他统计学 · 统计学 2020-11-03 Jan Schneider

Fuzzy data, prevalent in social sciences and other fields, capture uncertainties arising from subjective evaluations and measurement imprecision. Despite significant advancements in fuzzy statistics, a unified inferential regression-based…

统计方法学 · 统计学 2025-06-05 Antonio Calcagnì , Przemysław Grzegorzewski , Maciej Romaniuk

In an automated search system, similarity is a key concept in solving a human task. Indeed, human process is usually a natural categorization that underlies many natural abilities such as image recovery, language comprehension, decision…

计算机视觉与模式识别 · 计算机科学 2018-12-19 Yosr Ghozzi , Nesrine Baklouti , Hani Hagras , Mounir Ben Ayed , Adel M. Alimi

In this paper, a new interval type-2 fuzzy neural network able to construct non-separable fuzzy rules with adaptive shapes is introduced. To reflect the uncertainty, the shape of fuzzy sets considered to be uncertain. Therefore, a new form…

机器学习 · 计算机科学 2021-12-22 Armin Salimi-Badr

Two fundamental approaches to information averaging are based on linear and logarithmic combination, yielding the arithmetic average (AA) and geometric average (GA) of the fusing initials, respectively. In the context of target tracking,…

系统与控制 · 电气工程与系统科学 2024-12-20 Tiancheng Li , Hongqi Fan , Jesús G. Herrero , Juan M Corchado

This paper presents a new approach to statistical similarity assessment based on sequence alignment. The algorithm performs mutual matching of two random sequences by successively searching for common elements and by applying sequence…

信号处理 · 电气工程与系统科学 2021-06-09 Jakub Nikonowicz , Łukasz Matuszewski , Paweł Kubczak

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

Cosine similarity is widely used to measure the similarity between two embeddings, while interpretations based on angle and correlation coefficient are common. In this study, we focus on the interpretable axes of embeddings transformed by…

计算与语言 · 计算机科学 2024-12-18 Hiroaki Yamagiwa , Momose Oyama , Hidetoshi Shimodaira

In this paper, we propose a new method for determining shared features of and measuring the distance between data sets or point clouds. Our approach uses the joint factorization of two data matrices $X_1,X_2$ into non-negative matrices $X_1…

机器学习 · 计算机科学 2022-11-29 Hannah Friedman , Amani R. Maina-Kilaas , Julianna Schalkwyk , Hina Ahmed , Jamie Haddock

Purpose: This paper aims to propose an integration of the analytic hierarchy process (AHP) and data envelopment analysis (DEA) methods in a multiattribute grey relational analysis (GRA) methodology in which the attribute weights are…

最优化与控制 · 数学 2017-02-01 Mohammad Sadegh Pakkar

Similarity measure is a very important topic in fuzzy set theory. Torra (2010) proposed the notion of hesitant fuzzy set(HFS), which is a generalization of the notion of Zadeh' fuzzy set. In this paper, some new similarity measures for HFSs…

信息论 · 计算机科学 2012-12-27 Xiaoqiang Zhou , Qingguo Li

Capturing the interdependencies between real valued time series can be achieved by finding common similar patterns. The abstraction of time series makes the process of finding similarities closer to the way as humans do. Therefore, the…

人工智能 · 计算机科学 2016-12-20 Ibrahim Ozkan , I. Burhan Turksen

Intuitively, the concept of similarity is the notion to measure an inexact matching between two entities of the same reference set. The notions of similarity and its close relative dissimilarity are widely used in many fields of Artificial…

人工智能 · 计算机科学 2012-12-13 Lluís A. Belanche

In an earlier work we have used the Triangular Fuzzy Numbers (TFNs)as an assessment tool of student skills.This approach led to an approximate linguistic characterization of the students' overall performance, but it was not proved to be…

人工智能 · 计算机科学 2015-10-14 Michael Voskoglou

Similarity choice data occur when humans make choices among alternatives based on their similarity to a target, e.g., in the context of information retrieval and in embedding learning settings. Classical metric-based models of similarity…

We propose randomized confidence intervals based on the Neyman-Pearson lemma, in order to make them more broadly applicable to distributions that do not satisfy regularity conditions. This is achieved by using the definition of fuzzy…