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The Fast Fourier Transform (FFT) is a numerical operation that transforms a function into a form comprised of its constituent frequencies and is an integral part of scientific computation and data analysis. The objective of our work is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-04 Sudhanshu Kulkarni , Burlen Loring , E. Wes Bethel

We study phase structures of quantum field theories in fuzzy geometries. Several examples of fuzzy geometries as well as QFT's on such geometries are considered. They are fuzzy spheres and beyond as well as noncommutative deformations of…

High Energy Physics - Theory · Physics 2012-04-30 T R Govindarajan , S. Digal , K. S. Gupta , X. Martin

In this article, we first define the concept of ordered intervals, then introduce ordered fuzzy inner product and describe some of its properties.

General Mathematics · Mathematics 2025-12-30 Bayaz Daraby , Asghar Rahimi , Hasan Haddadzadeh

Let $Covering$ be the category of the category of fuzzy coverings, and $Partition$, the category of fuzzy partitions. We geometrically construct an isomorphism of categories between $Partition$ and a full subcategory of $Covering$, which…

General Mathematics · Mathematics 2024-05-01 Mircea Cimpoeas , Adrian Gabriel Neacsu

Various types of fuzzy anti-continuity and fuzzy anti-boundedness are defined. A few properties of them are established. The intra and inter relation among various types of fuzzy anti-continuity and fuzzy anti-boundedness are studied.

General Mathematics · Mathematics 2010-02-22 Bivas Dinda , T. K. Samanta , Iqbal H. Jebril

Alternative set theory (AST) may be suitable for the ones who try to capture objects or phenomenons with some kind of indefiniteness of a border. While AST provides various notions for advanced mathematical studies, correspondence of them…

Logic · Mathematics 2020-05-12 Kiri Sakahara , Takashi Sato

The soft topological spaces and some their related concepts have stud- ied in [7]. In this paper, we introduce and study the notions of soft connected topological spaces after a review of preliminary definitions.

General Topology · Mathematics 2012-02-09 E. Peyghan , B. Samadi , A. Tayebi

This work takes the first steps towards solving the "phaseless subspace tracking" (PST) problem. PST involves recovering a time sequence of signals (or images) from phaseless linear projections of each signal under the following structural…

Machine Learning · Computer Science 2018-09-13 Seyedehsara Nayer , Namrata Vaswani

We review the description of scalar field theories on fuzzy spaces by Hermitian random matrix models. After reminding the reader of the relevant aspects of the random matrix theory and construction of the fuzzy spaces, we summarize the most…

High Energy Physics - Theory · Physics 2020-06-24 Mária Šubjaková , Juraj Tekel

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…

Logic · Mathematics 2021-02-08 Josefa M. Garcia , Pascual Jara

Spatially homogeneous random tessellations that are stable under iteration (nesting) in the 3-dimensional Euclidean space are considered, so-called STIT tessellations. They arise as outcome of a spatio-temporal process of subsequent cell…

Probability · Mathematics 2013-09-20 Christoph Thaele , Viola Weiss

Let $X$ be the prime spectrum of a ring. In [arXiv:0707.1525] the authors define a topology on $X$ by using ultrafilters and they show that this topology is precisely the constructible topology. In this paper we generalize the construction…

Commutative Algebra · Mathematics 2013-09-23 Carmelo A. Finocchiaro

In this paper we have shown that a double sequence in a topological space satisfies certain conditions which in turn are capable to generate a topology on a non empty set. Also we have used the idea of I-convergence of double sequences to…

General Topology · Mathematics 2016-09-05 Amar Kumar Banerjee , Rahul Mondal

The present paper comes across the main steps that laid from Zadeh's fuzziness ana Atanassov's intuitionistic fuzzy sets to Smarandache's indeterminacy and to Molodstov's soft sets. Two hybrid methods for assessment and decision making…

Artificial Intelligence · Computer Science 2022-11-29 Michael Gr. Voskoglou

We construct spherical harmonics for fuzzy spheres of even and odd dimensions, generalizing the correspondence between finite matrix algebras and fuzzy two-spheres. The finite matrix algebras associated with the various fuzzy spheres have a…

High Energy Physics - Theory · Physics 2014-11-18 Sanjaye Ramgoolam

In the subjective Bayesian approach uncertainty is described by a prior distribution chosen by the statistician. Fuzzy set theory is another way of representing uncertainty. Here we give a decision theoretic approach which allows a Bayesian…

Statistics Theory · Mathematics 2008-12-18 Glen Meeden

Given a reference lattice, we define fuzzy intervals to be the fuzzy sets such that their p-cuts are crisp closed intervals. We show that: given a complete reference lattice, the collection of its fuzzy intervals is a complete lattice.…

Other Computer Science · Computer Science 2011-11-09 Ath. Kehagias

Closure operators are very useful tools in several areas of classical mathematics and in general category theory. In fuzzy set theory, fuzzy closure operators have been studied by G. Gerla (1966). These works generally define a fuzzy subset…

Category Theory · Mathematics 2016-11-26 Joaquin Luna-Torres

In fairly elementary terms this paper presents how the theory of preordered fuzzy sets, more precisely quantale-valued preorders on quantale-valued fuzzy sets, is established under the guidance of enriched category theory. Motivated by…

Logic in Computer Science · Computer Science 2024-08-16 Javier Gutiérrez García , Hongliang Lai , Lili Shen

This paper deals with the problem of forecast the Logistic Chaotic Map using Fuzzy Times Series (FTS). Chaotic Systems are very sensible to changes in its parameters and in the initial conditions, turning them into hard systems to model and…

Dynamical Systems · Mathematics 2021-03-16 Lucas Vinícius Ribeiro Alves
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