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We lay the groundwork in this first installment of a series of papers aimed at developing a theory of Hrushovski-Kazhdan style motivic integration for certain type of non-archimedean o-minimal fields, namely power-bounded T-convex valued…

逻辑 · 数学 2017-06-27 Yimu Yin

We present a method for incremental modeling and time-varying control of unknown nonlinear systems. The method combines elements of evolving intelligence, granular machine learning, and multi-variable control. We propose a State-Space…

系统与控制 · 电气工程与系统科学 2021-02-19 Daniel Leite , Pedro Coutinho , Iury Bessa , Murilo Camargos , Luiz Cordovil Junior , Reinaldo Palhares

In this paper, we present a generalization of the relational data model based on paraconsistent intuitionistic fuzzy sets. Our data model is capable of manipulating incomplete as well as inconsistent information. Fuzzy relation or…

数据库 · 计算机科学 2007-05-23 Rajshekhar Sunderraman , Haibin Wang

In this paper, we study composite mapping on hesitant fuzzy soft classes. We also establish some interesting properties of this notion and support them with examples. Also definitions of fuzzy soft image and fuzzy soft inverse image put…

综合数学 · 数学 2016-05-05 Manash Jyoti Borah , Bipan Hazarika

We introduce the notion of Mal'tsev reflection which allows us to set up a partial notion of Mal'tsevness with respect to a class $\Sigma$ of split epimorphisms stable under pullback and containing the isomorphisms, and we investigate what…

范畴论 · 数学 2024-08-30 Dominique Bourn

In this paper, three topics in bipolar fuzzy soft hypervector spaces are investigated. At first, four equivalent conditions to definition of a bipolar fuzzy soft hypervector space are presented, from different point of views. Then some new…

综合数学 · 数学 2023-10-12 O. R. Dehghan

We give a model of set theory based on multisets in homotopy type theory. The equality of the model is the identity type. The underlying type of iterative sets can be formulated in Martin-L\"of type theory, without Higher Inductive Types…

逻辑 · 数学 2020-07-08 Håkon Robbestad Gylterud

This article is meant to give a lucid and widely accessible, self-contained account of a novel way of performing arithmetic operations on fuzzy intervals. Based on two formulae of generalized inversion (the first in close analogy to the…

综合数学 · 数学 2016-10-28 Jan Schneider

Fuzzy circular interval graphs are a generalization of proper circular arc graphs and have been recently introduced by Chudnovsky and Seymour as a fundamental subclass of claw-free graphs. In this paper, we provide a polynomial-time…

离散数学 · 计算机科学 2011-04-13 Gianpaolo Oriolo , Ugo Pietropaoli , Gautier Stauffer

In this article, we define some types of distances between two intuitionistic fuzzy soft (IFS) sets and proposed similarity measures of two IFS-sets. We then construct a decision method which is applied to a medical diagnosis problem that…

逻辑 · 数学 2013-12-17 Naim Çağman , İrfan Deli

The correspondence between definable connected groupoids in a theory $T$ and internal generalised imaginary sorts of $T$, established by Hrushovski in ["Groupoids, imaginaries and internal covers," Turkish Journal of Mathematics, 2012], is…

逻辑 · 数学 2017-11-10 Levon Haykazyan , Rahim Moosa

In the paper we unify two extensions of the classical Hutchinson--Barnsley theory - the topological and the fuzzy-set approaches. We show that a fuzzy iterated function system (fuzzy IFS) on a Tychonoff space $X$ which is contracting w.r.t.…

动力系统 · 数学 2025-09-30 Taras Banakh , Krzysztof Caban , Filip Strobin

In this paper a knowledge representation model are proposed, FP5, which combine the ideas from fuzzy sets and penta-valued logic. FP5 represents imprecise properties whose accomplished degree is undefined, contradictory or indeterminate for…

人工智能 · 计算机科学 2015-02-20 Vasile Patrascu

In this paper, a new two-dimensional Hardy type inequality is given in terms of pseudo-analysis dealing with set-valued functions. The first one is given for a pseudo-integral of set-valued function where pseudo-addition and…

泛函分析 · 数学 2022-06-29 Bayaz Daraby , Mortaza Tahmourasi , Asghar Rahimi

Fuzzy closure spaces are an extension of classical closure spaces in topology, where the concept of closure is defined in terms of fuzzy sets. This article introduces interior operators and neighborhood systems in fuzzy closure spaces.…

一般拓扑 · 数学 2025-09-16 Albin James , T. P. Johnson

Infrared-Visible image fusion (IVIF) aims to integrate thermal information and detailed spatial structures into a single fused image to enhance perception. However, existing evaluation approaches tend to over-optimize both hand-crafted…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Yuchen Guo , Junli Gong , Yao Lu , Xintong Xu , Yiuming Cheung , Weifeng Su

We define a symmetric monoidal category modelling fuzzy concepts and fuzzy conceptual reasoning within G\"ardenfors' framework of conceptual (convex) spaces. We propose log-concave functions as models of fuzzy concepts, showing that these…

范畴论 · 数学 2022-11-04 Sean Tull

Hasse diagrams (or phase diagrams) for moduli spaces of supersymmetric field theories have been intensively studied in recent years, and many tools to compute them have been developed. The moduli space of instantons, despite being well…

高能物理 - 理论 · 物理学 2022-09-14 Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Zhenghao Zhong

We explore the structure of the moduli space of vacua of Improved Bifundamentals, a recently introduced class of superconformal field theories. Utilizing the Hilbert Series, computed as a specific limit of the Superconformal Index, we…

高能物理 - 理论 · 物理学 2025-05-14 Sergio Benvenuti , Gabriel Pedde Ungureanu

In this work, we begin studying the classification, up to isomorphism, of unstable H*V-A-modules E such that the tensor product of F_2 and E over H*V is isomorphic to a given unstable A-module.

代数拓扑 · 数学 2009-04-21 Dorra Bourguiba