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Order-Sorted Feature (OSF) logic is a knowledge representation and reasoning language based on function-denoting feature symbols and set-denoting sort symbols ordered in a subsumption lattice. OSF logic allows the construction of…

Artificial Intelligence · Computer Science 2023-11-28 Gian Carlo Milanese , Gabriella Pasi

In this study we follow a new framework for the theory that offers us, other than traditional, a new angle to observe and investigate some relations between finite sets, F-lattice L and their elements. The theory is based on the Fuzzy…

General Mathematics · Mathematics 2018-02-14 H. Keleş

The theory of group lifting structures is applied to linear phase lifting factorizations for the two nontrivial classes of two-channel linear phase perfect reconstruction filter banks, the whole- and half-sample symmetric classes. Group…

Information Theory · Computer Science 2013-10-11 Christopher M. Brislawn

In this paper we first define the category of fuzzy hyper BCK- algebras. After that we show that the category of hyper BCK-algebras has equalizers, coequalizers, products. It is a consequence that this category is complete and hence has…

Category Theory · Mathematics 2016-11-25 Joseph Dongho

We present general techniques for constructing functorial factorizations appropriate for model structures that are not known to be cofibrantly generated. Our methods use "algebraic" characterizations of fibrations to produce factorizations…

Algebraic Topology · Mathematics 2013-04-24 Tobias Barthel , Emily Riehl

Tangent categories are categories equipped with a tangent functor: an endofunctor with certain natural transformations which make it behave like the tangent bundle functor on the category of smooth manifolds. They provide an abstract…

Category Theory · Mathematics 2017-03-10 J. R. B. Cockett , G. S. H. Cruttwell

We give an exact value of the rank of an $\mathcal{F}$-Fubini sum of filters for the case where $\mathcal{F}$ is a Borel filter of rank $1$. We also consider $\mathcal{F}$-limits of filters $\mathcal{F}_i$, which are of the form…

Logic · Mathematics 2014-10-03 Adam Kwela , Ireneusz Recław

A dynamical fuzzy space might be described by a three-index variable C_{ab}^c, which determines the algebraic relations f_a f_b =C_{ab}^c f_c among the functions f_a on the fuzzy space. A fuzzy analogue of the general coordinate…

High Energy Physics - Theory · Physics 2009-11-11 Naoki Sasakura

This paper investigates the fuzzy $H_{\infty}$ filter design issue for nonlinear systems with time-varying delay. In order to obtain less conservative fuzzy $H_{\infty}$ filter design method, a novel integral inequality is employed to…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Qianqian Ma , Li Li , Junhui Shen , Haowei Guan , Guangcheng Ma , Hongwei Xia

This paper presents a planar multimodal periodic filter that is constructed from alternating sections of coplanar stripline and the odd-mode of a finite-ground plane coplanar waveguide constructed on a 1 um silicon nitride substrate to…

Applied Physics · Physics 2026-03-27 Ali Dehghanian , Mohsen Haghighat , Thomas Darcie , Levi Smith

For a stably framed Liouville manifold X , we construct a "Donaldson-Fukaya category over the sphere spectrum" F(X; S). The objects are closed exact Lagrangians whose Gauss maps are nullhomotopic compatibly with the ambient stable framing,…

Symplectic Geometry · Mathematics 2024-05-21 Noah Porcelli , Ivan Smith

The parabolic category $\mathcal{O}$ for affine ${\mathfrak{gl}}_N$ at level $-N-e$ admits a structure of a categorical representation of $\widetilde{\mathfrak{sl}}_e$ with respect to some endofunctors $E$ and $F$. This category contains a…

Representation Theory · Mathematics 2020-07-23 Ruslan Maksimau

Red and blue galaxies are traditionally classified using some specific cuts in colour or other galaxy properties, which are supported by empirical arguments. The vagueness associated with such cuts are likely to introduce a significant…

Astrophysics of Galaxies · Physics 2020-09-09 Biswajit Pandey

We upgrade the natural weakly-filtered structure of Fukaya categories discussed in arXiv:1806.06630 to a genuinely filtered one. The main tools are a Morse-Bott, or 'cluster', model for Fukaya categories and a particular choice of class of…

Symplectic Geometry · Mathematics 2024-07-25 Giovanni Ambrosioni

Fuzzy rough set (FRS) has a great effect on data mining processes and the fuzzy logical operators play a key role in the development of FRS theory. In order to further generalize the FRS theory to more complicated data environments, we…

General Mathematics · Mathematics 2022-05-23 Gongao Qi , Bin Yang , Wei Li

The definition of the complement of a fuzzy subset is algebraic in nature and when it is used in the context of fuzzy topological spaces it does not share any similarity with the usual property of topological spaces that the complement of…

General Topology · Mathematics 2025-08-25 Anjeza Krakulli , Elton Pasku

Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of $\beta$-admissible mappings and obtain common fixed point theorems for such a pair in complete and weak $G$-complete fuzzy…

General Topology · Mathematics 2024-04-04 Sugata Adhya , A. Deb Ray

Univalent categories constitute a well-behaved and useful notion of category in univalent foundations. The notion of univalence has subsequently been generalized to bicategories and other structures in (higher) category theory. Here, we…

Logic in Computer Science · Computer Science 2023-08-17 Kobe Wullaert , Ralph Matthes , Benedikt Ahrens

In this paper we propose a procedure which allows the construction of a large family of FIR d x d matrix wavelet filters by exploiting the one-to-one correspondence between QMF systems and orthogonal operators which commute with the shifts…

Numerical Analysis · Mathematics 2013-03-06 Mariantonia Cotronei , Matthias Holschneider

This paper presents a novel type-2 Fuzzy logic System to define the Shape of a facial component with the crisp output. This work is the part of our main research effort to design a system (called FASY) which offers a novel face construction…

Computer Vision and Pattern Recognition · Computer Science 2010-07-06 S. Halder , Debotosh Bhattacharjee , M. Nasipuri , D. K. Basu , M. Kundu