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Showing papers in "Fuzzy Sets and Systems in 2021"


Journal ArticleDOI
TL;DR: With the help of fixed point theory, exponential dichotomy of linear equations and related inequalities, some new sufficient conditions which guarantee the existence and global exponentially stability of pseudo almost periodic solutions to quaternion-valued fuzzy cellular neural networks with delays are established.

61 citations


Journal ArticleDOI
TL;DR: The main results are characterizations of solutions to some migrative functional equations for overlap functions over uninorms in the usual classes such asuninorms continuous on the boundary except at their neutral elements, representable uninormS, idempotent uninorm's and uninorm’s continuous in the open unit square.

49 citations


Journal ArticleDOI
TL;DR: The sufficient and necessary conditions for the distributivity equations between uni-nullnorms and overlap (grouping) functions are obtained, and during the process, the full characterization of any idempotent uni -nullnorm is given.

46 citations


Journal ArticleDOI
TL;DR: A fuzzy wavelet neural network based on minimal-learning-parameter (MLP) is designed to identify uncertainties with slight computational burden and a robust quantized control scheme is synthesized to compensate for quantization error and achieve prescribed ultimately uniformly bounded (UUB) tracking.

45 citations


Journal ArticleDOI
TL;DR: In this article, a finite-time synchronization problem for multi-coupling fuzzy cellular neural networks (FCNNs) with stochastic perturbations and mixed delays is studied for the first time, which is of better significance.

45 citations


Journal ArticleDOI
TL;DR: Motivated by the pioneering work of Costa's Jensen's fuzzy-interval-valued inequality and Strboja et al.'s Jensen's set-valuedequality based on Aumann integrals and pseudo-integrals respectively, this paper focuses particularly on proving certain kinds of Jensen'sSet-valued inequalities and fuzzy set- valued inequalities.

44 citations


Journal ArticleDOI
TL;DR: A model of fuzzy inertial complex-valued neural networks with state-dependent coefficients and mixed delays for the first time is constructed using Lyapunov's stability theory and the differential equation theory with discontinuous right side.

43 citations


Journal ArticleDOI
TL;DR: This paper provides a novel tool to understand fractional uncertainty problems on discrete time domains by providing exact solutions of two linear equations obtained by Picard's iteration.

43 citations


Journal ArticleDOI
TL;DR: Experimental results on various standard datasets demonstrated the effectiveness of the proposed approach compared to the state-of-the-art methods in terms of evaluation criteria and clustering robustness.

41 citations


Journal ArticleDOI
TL;DR: It is shown that some d- Choquet integrals are aggregation/pre-aggregation/averaging/functions and some of them are not and the conditions under which this happens are stated and other properties of the d-Choquet Integrals are studied.

39 citations


Journal ArticleDOI
TL;DR: In this article, a new fractional-order Gronwall inequality with time delay is developed; this can be widely used to study finite-time stability of a variety of fractionalorder systems with time delays.

Journal ArticleDOI
TL;DR: A delay-dependent stabilization condition is developed based on parallel distributed compensation (PDC) scheme by some linearization techniques and the efficiency and benefits of the stability criterion and controller design method are illustrated by several classical numerical examples.

Journal ArticleDOI
TL;DR: A bibliometric overview of the leading trends occurring in the journal between 1978 and 2016 is presented by analysing the most productive and influential authors, institutions and countries as well as the publication and citation structure.

Journal ArticleDOI
TL;DR: A distributed adaptive control protocol is proposed for the consensus problem comprising MASs with unknown parameters and input disturbances that can guarantee that the consensus errors asymptotically approach zero under the conditions that the communication topology is fuzzy union connected.

Journal ArticleDOI
TL;DR: This paper investigates the issue of distributed adaptive output consensus tracking control for uncertain nonlinear multi-agent systems with undirected graph under the framework of Lyapunov stability theorem and backstepping technique and develops a novel distributed adaptive consensus control scheme.

Journal ArticleDOI
Zhong Yuan1, Hongmei Chen1, Tianrui Li1, Jia Liu1, Shu Wang1 
TL;DR: A hybrid feature outlier detection method based on fuzzy information entropy by using fuzzy approximate space with fuzzy similarity relation is constructed and the FIEOD algorithm is compared with the main outlier Detection algorithms on public data.

Journal ArticleDOI
TL;DR: A novel state feedback controller is designed to realize the FFTS of the considered network model by employing Filippov regularization approaches, inequality techniques and a generalized finite-/fixed-time stability theorem.

Journal ArticleDOI
TL;DR: A novel discontinuous state-feedback controller to the response neural system is presented in order to derive the fixed-time synchronization criteria and estimate the settling time of the DFCGNNs.

Journal ArticleDOI
TL;DR: This paper addresses the problem of fixed-time stabilization for a class of fuzzy neutral-type inertial neural networks (FNTINNs) with time-varying delay by using a novel fixed- time stability theorem for dynamical systems.

Journal ArticleDOI
TL;DR: An alternative definition of ordinal sum of countably many (finite or countably infinite) triangular norms on subintervals of a complete lattice, where the endpoints of the subinterval constitute a chain is proposed, which is shown to be always a triangular norm.

Journal ArticleDOI
TL;DR: A novel adaptive event-triggered fuzzy adaptive quantized control protocol and adaptive laws are constructed and it is demonstrated that all signals are bounded in the closed-loop systems in probability and all the outputs of followers converge to the neighborhood of the leader output.

Journal ArticleDOI
TL;DR: An adjustable finite-time performance function with faster convergence rate is applied to the procedure of the controller design, whose parameters can be adjusted in real time on the basis of the tracking error.

Journal ArticleDOI
TL;DR: Dually, a method to construct a null-uninorm on a bounded lattice via a conjunctive uninorm and a triangular conorm is presented, as well as several derived construction methods for uni-nullnorms.

Journal ArticleDOI
TL;DR: In this study, the principles for constructing three-way approximations of fuzzy sets are summarized and Friedman testing followed by Holm-Bonferroni testing are exploited to test the performance significance of the proposed criteria.

Journal ArticleDOI
TL;DR: A new consistency definition of interval multiplicative preference relation (IMPR) is presented and it is proven that this new consistency of IMPR has robustness and invariance with respect to permutation of the compared objects' labels.

Journal ArticleDOI
TL;DR: A new fitting model for attribute reduction based on fuzzy β covering is set forth to address issues of popularization and application, and a heuristic attribute reduction algorithm is developed to reduce redundant fuzzy coverings.

Journal ArticleDOI
TL;DR: This work proposes to use Chebyshev polynomials due to their smoothness and reasonable behavior near boundaries to solve fuzzy Fredholm integral equations of the second kind with respect to fuzzy valued functions using the ordinary approximation technique.

Journal ArticleDOI
Jie Liu1
TL;DR: This work first shows the limitations of fuzzy functions in original FSVM-CIL for imbalanced data with noise around the between-class borderline, and then, a new fuzzy function, named the Gaussian fuzzy function is proposed and explained in detail.

Journal ArticleDOI
TL;DR: This study introduces the concept of passenger dissatisfaction with additional walking and waiting as an indicator of social sustainability and uses the concept while optimizing the transit network for economic, environmental, and social perfectives.

Journal ArticleDOI
TL;DR: Two different methods for constructing uninorms on an appropriate bounded lattice with a fixed neutral element e are presented, which are different from the top and bottom elements by using the knowledge of the existence of triangular norms and triangular conorms in bounded lattices.