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The neuro-fuzzy system is network which resemble human-like operation of the naturally imprecise data and decision-making. This paper proposes implementation of the fundamental module of the neuro-fuzzy system - membership function (MF),…

Emerging Technologies · Computer Science 2018-05-18 Azamat Marlen , Anuar Dorzhigulov

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…

Machine Learning · Computer Science 2022-01-14 Gonzalo Nápoles , Isel Grau , Leonardo Concepción , Lisa Koutsoviti Koumeri , João Paulo Papa

This paper discusses, certain algebraic, analytic, and topological results on partial iterated function systems($IFS_p$'s). Also, the article proves the Collage theorem for partial iterated function systems. Further, it provides a method to…

Dynamical Systems · Mathematics 2022-12-09 Praveen M , Sunil Mathew

In this article, we impose a new class of fractional analytic functions in the open unit disk. By considering this class, we define a fractional operator, which is generalized Salagean and Ruscheweyh differential operators. Moreover, by…

Complex Variables · Mathematics 2016-02-26 Zainab E. Abdulnaby , Rabha W. Ibrahim , Adem Kilicman

In this paper we provide new several Jackson-type approximations results for continuous fuzzy-number-valued functions which improve several previous ones. We use alternative techniques adapted from Interval Analysis which rely on the…

General Mathematics · Mathematics 2025-12-25 Juan J. Font , Sergio Macario

Interval valued bipolar fuzzy weighted neutrosophic set(IVBFWN-set) is a new generalization of fuzzy set, bipolar fuzzy set, neutrosophic set and bipolar neutrosophic set so that it can handle uncertain information more flexibly in the…

General Mathematics · Mathematics 2016-02-08 Irfan Deli , Yusuf Şubaş , Florentin Smaradache , Mumtaz Ali

In this paper, we introduce an abstract fuzzy economy (generalized fuzzy game) model with a countable space of actions and we study the existence of the fuzzy equilibrium. As applications, two types of results are obtained. The first ones…

Optimization and Control · Mathematics 2013-06-25 Monica Patriche

The present article is a sequel of the article "Fislab the Fuzzy Inference Tool-Box for Scilab" and it represents the practical application of:"The development of the Fuzzy regulator with an input and an output in Fislab". The article…

Mathematical Software · Computer Science 2009-03-26 Simona Apostol

The aim of the present paper is twofold. We study directed porosity in connection with conformal iterated function systems (CIFS) and with singular integrals. We prove that limit sets of finite CIFS are porous in a stronger sense than…

Dynamical Systems · Mathematics 2009-10-05 Vasilis Chousionis

In this paper, by employing fixed-point methods, we obtain the existence and uniqueness results for the nonlinear implicit fractional differential equations in Banach spaces. Further, we obtain the uniqueness, dependence of the solution on…

Dynamical Systems · Mathematics 2020-07-20 Sagar T. Sutar , Kishor D. Kucche

This paper introduces the notion of fuzzy process as a formalism for the idea of fuzzy contact between a device and its environment. The notions of absolute correctness and relative correctness are defined. In order to work with concurrency…

Logic in Computer Science · Computer Science 2009-06-01 Lucian Luca , Lucian L. Luca

The present study represents "The Fislab package of programs meant to develop the fuzzy regulators in the Scilab environment" in which we present some general issues, usage requirements and the working mode of the Fislab environment. In the…

Mathematical Software · Computer Science 2009-03-26 Simona Apostol

A new fuzzy optimization framework that extends FCM causality is proposed. This model utilizes the dynamics to map data into metrics and create a framework that examines logical implication and hierarchy of concepts using a multiplex.…

Artificial Intelligence · Computer Science 2025-12-12 Alexis Kafantaris

A fuzzy mnesor space is a semimodule over the positive real numbers. It can be used as theoretical framework for fuzzy sets. Hence we can prove a great number of properties for fuzzy sets without refering to the membership functions.

Artificial Intelligence · Computer Science 2009-05-05 Gilles Champenois

We establish a uniform estimate for a bilinear fractional integral operator via restricted weak-type endpoint estimates and Marcinkiewicz interpolation. This estimate is crucial in the integrability analysis of a tensor-valued bilinear…

Analysis of PDEs · Mathematics 2026-05-27 Nuno J. Alves , Loukas Grafakos , Athanasios E. Tzavaras

We introduce a geometric dynamical system where iteration is defined as a cycling composition of different maps acting on a space composed of three or more lines in $\mathbb{R}^2$. This system is motivated by the dynamics of iterated…

Dynamical Systems · Mathematics 2024-12-03 Samuel Everett

On this thesis we present the fuzzy sets, fuzzy numbers, the fractional derivative and also we discuss the solution of the first order of fuzzy hybrid equation.

General Mathematics · Mathematics 2021-09-17 Aziz Elghazouani

We introduce the novel concept of a non-stationary iterated function system by considering a countable sequence of distinct set-valued maps $\{\mathcal{F}_k\}_{k\in \mathbb{N}}$ where each $\mathcal{F}_k$ maps $\mathcal{H}(X)\to…

Dynamical Systems · Mathematics 2019-07-02 Peter Massopust

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…

Databases · Computer Science 2007-05-23 Rajshekhar Sunderraman , Haibin Wang

In this paper we extend previous work on IFSs without overlap. Our method involves systems of operators generalizing the more familiar Cuntz relations from operator algebra theory, and from subband filter operators in signal processing.

Mathematical Physics · Physics 2009-11-13 Palle E. T. Jorgensen , Keri A. Kornelson , Karen L. Shuman