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In this paper, we provide equivalent characterizations of weak $G$-complete fuzzy metric spaces. Since such spaces are complete, we also characterize fuzzy metric spaces that have weak $G$-complete fuzzy metric completions. Moreover we…

General Topology · Mathematics 2022-01-28 Sugata Adhya , A. Deb Ray

We define the Cartesian product, composition, union and join on interval-valued fuzzy graphs and investigate some of their properties. We also introduce the notion of interval-valued fuzzy complete graphs and present some properties of self…

Discrete Mathematics · Computer Science 2015-01-27 Muhammad Akram , Wieslaw A. Dudek

A new scheme of the iterative perturbation theory is proposed for the strongly correlated electron systems with orbital degeneracy. The method is based on the modified self-energy of Yeyati, et al. which interpolates between the weak and…

Strongly Correlated Electrons · Physics 2009-10-31 T. Saso

The notion of ordinal concavity of utility functions has recently been considered by Hafalir, Kojima, Yenmez, and Yokote in economics while there exist earlier related works in discrete optimization and operations research. In the present…

Combinatorics · Mathematics 2024-11-14 Satoru Fujishige , Fuhito Kojima , Koji Yokote

In recent years, the use of non-analytical methods of computing such as fuzzy logic, evolutionary computation, and neural networks has demonstrated the utility and potential of these paradigms for intelligent control of mobile robot…

Neural and Evolutionary Computing · Computer Science 2010-03-23 Razif Rashid , I. Elamvazuthi , Mumtaj Begam , M. Arrofiq

The paper starts from the observation on the complexity of the manipulation of fuzzy processes that increases very rapidly with the extents of the processes representation. Therefore, a productive approach is to divide the problem into…

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

The paper concerns fractal homeomorphism between the attractors of two bi-affine iterated function systems. After a general discussion of bi-affine functions, conditions are provided under which a bi-affine iterated function system is…

Dynamical Systems · Mathematics 2011-10-24 Michael Barnsley , Andrew Vince

Complexity and nonlinear behaviours of inverted pendulum system make its control design a very challenging task. In this paper, a hybrid fuzzy adaptive control system using model reference approach is designed for inverted-pendulum system…

Systems and Control · Electrical Eng. & Systems 2019-10-18 Abdulbasid Ismail Isa , Mukhtar Fatihu Hamza , Mustapha Muhammad

The aim of this paper is to characterize a fractal operator associated with multivariate fractal interpolation functions (FIFs) and study the several properties of this fractal operator. Further, with the help of this operator, we…

Dynamical Systems · Mathematics 2023-10-20 Amit Bawalia , Vineeta Basotia , Ajay Prajapati

The transportation of sensitive equipment often suffers from vibrations caused by terrain, weather, and motion speed, leading to inefficiencies and potential damage. To address this challenge, this paper explores an intelligent control…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Vuong Anh Trung , Thanh Son Pham , Truc Thanh Tran , Tran le Thang Dong , Tran Thuan Hoang

The purpose of this paper is to study a non-convex fuzzy multi-objective quadratic programming problem, in which both the technological coefficients and resources are fuzzy with nonlinear membership function. A computational procedure to…

Optimization and Control · Mathematics 2013-08-02 Shashi Aggarwal , Uday Sharma

In this paper, we introduce the concept of the circular complex $q$-rung orthopair fuzzy set (CC$q$-ROFS) as a novel generalization that unifies the existing frameworks of circular complex intuitionistic fuzzy sets (CCIFSs) and complex…

Information Theory · Computer Science 2025-10-20 Yelda Gülfırat , Mehmet Ünver

We apply residuated structures associated with fuzzy logic to develop certain aspects of information processing in quantum computing from a logical perspective. For this purpose, we introduce an axiomatic system whose natural interpretation…

Quantum Physics · Physics 2007-05-23 Graciela Domenech , Hector Freytes

In this article, I introduce the notion of Fuzzy-based Higher adaptive order sliding mode observers through the example of the super-twisting adaptive order sliding mode observer. I begin by presenting the super-twisting second order…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Mohamed Camil Belhadjoudja

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…

General Mathematics · Mathematics 2016-10-28 Jan Schneider

We provide an overview of iterated function systems (IFS), where randomly chosen state-to-state maps are applied iteratively to a state. We aim to summarize the state of art and, where possible, identify fundamental challenges and…

Probability · Mathematics 2022-11-29 Ramen Ghosh , Jakub Marecek

Bisimulations have been widely used in many areas of computer science to model equivalence between various systems, and to reduce the number of states of these systems, whereas uniform fuzzy relations have recently been introduced as a…

Formal Languages and Automata Theory · Computer Science 2011-05-09 Miroslav Ćirić , Jelena Ignjatović , Nada Damljanović , Milan Bašić

For an iterated function system $ \mathcal{F} = \{ f_1, \dots, f_k \} $ of homeomorphisms on a compact metric space $(X, d)$, write $ \mathcal{F}_-= \{ f_1^{-1}, \dots, f_k^{-1} \} $. The objective of this paper is to illustrate an iterated…

Dynamical Systems · Mathematics 2026-01-27 Aliasghar Sarizadeh

This paper considers a new fuzzy fractional differential variational inequality with integral boundary conditions comprising a fuzzy fractional differential inclusion with integral boundary conditions and a variational inequality in…

Optimization and Control · Mathematics 2026-03-31 Zengbao Wu , Quanguo Zhang , Tao Chen , Yibin Xiao , Tianyin Wang , Chunyan Yang

Imprecise-information processing will play an indispensable role in intelligent systems, especially in the anthropomorphic intelligent systems (as intelligent robots). A new theoretical and technological system of imprecise-information…

Computation and Language · Computer Science 2016-10-11 Shiyou Lian