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We introduce a simple property, affine invariance, which characterizes within the class of fuzzy topological spaces those which are induced from an underlying topology on the space. We illustrate it by considering the simple notions of…

动力系统 · 数学 2018-02-07 Ethan Akin

An interval translation map (ITM) is a piece-wise translation $T \colon I \to I$ defined on a finite partition $I_1, \ldots, I_r$ of an interval $I$ into $r \ge 2$ subintervals. In contrast to classical interval exchange transformations…

动力系统 · 数学 2026-05-06 Kostiantyn Drach , Leon Staresinic , Sebastian van Strien

This paper presents a Fuzzy Cognitive Map model to quantify implicit bias in structured datasets where features can be numeric or discrete. In our proposal, problem features are mapped to neural concepts that are initially activated by…

机器学习 · 计算机科学 2022-01-14 Gonzalo Nápoles , Isel Grau , Leonardo Concepción , Lisa Koutsoviti Koumeri , João Paulo Papa

Using the idea of a quasi-coincedece of a fuzzy point with a fuzzy set, the concept of an ({\alpha},{\beta})-fuzzy bi-ibeals in AG-groupoid is introduced in this paper, which is a generalization of the concept of a fuzzy bi-ideal in…

群论 · 数学 2010-10-20 Madad Khan , Kifayat Ullah

This paper shows that the k-means quantization of a signal can be interpreted both as a crisp indicator function and as a fuzzy membership assignment describing fuzzy clusters and fuzzy boundaries. Combined crisp and fuzzy indicator…

计算机视觉与模式识别 · 计算机科学 2011-07-15 Nicolaie Popescu-Bodorin

In recent years, the modeling and analysis of interval-valued time series have garnered significant attention in the fields of econometrics and statistics. However, the existing literature primarily focuses on regression tasks while…

机器学习 · 统计学 2025-04-07 Wan Tian , Zhongfeng Qin

In this paper, we introduce the concept of circular Pythagorean fuzzy set (value) (C-PFS(V)) as a new generalization of both circular intuitionistic fuzzy sets (C-IFSs) proposed by Atannassov and Pythagorean fuzzy sets (PFSs) proposed by…

人工智能 · 计算机科学 2025-05-08 Mahmut Can Bozyiğit , Murat Olgun , Mehmet Ünver

In this paper the concept of Q-fuzzification of ideals of gamma-semigroups has been introduced and some important properties have been investigated. A characterization of regular gamma-semigroup in terms of Q-fuzzy ideals has been obtained.…

综合数学 · 数学 2011-02-02 Samit Kumar Majumder

In this paper, we intend the concept of rough cubic Pythagorean fuzzy ideals in the semigroup. By using this notion, we discuss lower approximation and upper approximation of cubic Pythagorean fuzzy left (right) ideals, bi-ideals, interior…

综合数学 · 数学 2023-02-06 V. Chinnadurai , A. Arulselvam

Blundell, Buesing, Davies, Veli\v{c}kovi\'c, and Williamson (BBDVW) introduced the notion of a hypercube decomposition of an interval in Bruhat order. They conjectured a recursive formula in terms of this structure which, if shown for all…

组合数学 · 数学 2026-02-23 Grant T. Barkley , Christian Gaetz

In this paper, the notion of Integral Value Transformations (IVTs), a class of Discrete Dynamical Maps has been introduced. Then notion of Affine Discrete Dynamical System (ADDS) in the light of IVTs is defined and some rudimentary…

离散数学 · 计算机科学 2011-10-13 Sk. S. Hassan , P. Pal Choudhury , B. K. Nayak , A. Ghosh , J. Banerjee

In this paper, the concept of a picture fuzzy subgroup of a group is studied, and the notion of the direct product of picture fuzzy subgroups is introduced. Several characterisations of the direct product of picture fuzzy subgroups are…

综合数学 · 数学 2026-03-05 Taiwo O. Sangodapo

The aim of this paper is to introduce the notion of bipolar fuzzy soft hypervector spaces and study their basic properties. In this regard, at first some new operation and external hyperoperation are defined on bipolar fuzzy soft sets over…

综合数学 · 数学 2023-10-12 O. R. Dehghan

In this methodological review, we discuss the fundamental concepts of the theory of integral invariants. This theory originated with Poincare and Cartan \cite{Koz, Kart} and was further developed by Kozlov \cite{int_K}. We demonstrate how…

历史与综述 · 数学 2026-04-08 Oleg Zubelevich

In type IIB superstring compactifications, incorporating log-loop corrections and higher-derivative ${(\alpha^\prime)}^3$-corrections can stabilize the overall volume of the compact internal space at exponentially large values. This…

高能物理 - 理论 · 物理学 2026-05-05 George K. Leontaris , Pramod Shukla

Interval Pairwise Comparison Matrices have been widely used to account for uncertain statements concerning the preferences of decision makers. Several approaches have been proposed in the literature, such as multiplicative and fuzzy…

人工智能 · 计算机科学 2017-11-28 Bice Cavallo , Matteo Brunelli

A new concept of a multi-valued associative memory is introduced, generalizing a similar one in fuzzy neural networks. We expand the results on fuzzy associative memory with thresholds, to the case of a multi-valued one: we introduce the…

人工智能 · 计算机科学 2023-02-24 Dmitry Maximov , Vladimir I. Goncharenko , Yury S. Legovich

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…

泛函分析 · 数学 2013-09-20 Azadeh Zahedi Khameneh , Adem Kilicman , Abdul Razak Salleh

In fuzzy theory of sets and groups, the use of $\alpha$--levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong $\alpha$--levels, it is possible to establish a one to one correspondence which makes…

逻辑 · 数学 2021-02-08 Josefa M. Garcia , Pascual Jara

Characteristic, normal and completely normal intuitionistic fuzzy left $h$-ideals of hemirings are described.

环与代数 · 数学 2015-01-27 Wieslaw A. Dudek
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