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n-roots on MV-algebras Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-03-13 A. Dvurečenskij, O. Zahiri, M. Shenavaei, R.A. Borzooei
We introduce and investigate -roots in the context of MV-algebras as a generalization of square roots introduced in . We outline their main properties and establish that the class of MV-algebras with -roots, , forms a variety. Next, we introduce the concept of strict -roots and demonstrate an equivalence between and the class of -divisible unital -groups. It helped us to show that each MV-algebra with
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Localization Relations Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-03-13 D. Boixader, J. Recasens
Localization Relations are symmetric and -transitive fuzzy relations that are representable as suprema of conjunctions of fuzzy subsets. This paper shows that not all symmetric and -transitive fuzzy relations may be obtained in such way, provides an easy condition for characterizing those that may, and states a representation theorem for this class of relations. The logical and geometric implications
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Analysis of smooth and enhanced smooth quadrature-inspired generalized Choquet integral Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-03-04 Paweł Karczmarek, Adam Gregosiewicz, Zbigniew A. Łagodowski, Michał Dolecki, Łukasz Gałka, Paweł Powroźnik, Witold Pedrycz, Kamil Jonak
Enhancing the ability to make informed decisions stands as a significant challenge in modern IT. Specifically, there is a growing need to improve the efficiency of classification algorithms. When faced with multiple results derived from various methods, one can select the most probable decision using a robust aggregation operator. A common class of algorithms employed for this purpose is based on extensions
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Fixed/predefined-time projective synchronization for a class of fuzzy inertial discontinuous neural networks with distributed delays Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-03-02 Jing Han, Guici Chen, Guodong Zhang, Junhao Hu
In this article, fixed-time projective synchronization (FTPS) and predefined-time projective synchronization (PTPS) for a class of discontinuous fuzzy inertial neural networks (FINNs) with distributed delays are considered. To this end, regarding differential inclusion theories and the Lyapunov stability method, more precise and improved setting times of FTPS are systematically constructed. Furthermore
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A strengthening of Jensen's inequality for asymmetric Choquet integral Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-03-01 Hamzeh Agahi
Recently, Zhang et al. (2022) , (2023) proposed some Jensen's inequalities for asymmetric Choquet integral. Then Wang (2023) investigated some refinements of Jensen's inequalities for Choquet integral. In this paper, sharp inequalities related to Jensen for asymmetric Choquet integral are studied. Our results have many benefits such as applicability, simplicity, easy to use and require only knowledge
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Nonfragile switched sampled-data control for ship electric propulsion systems with stochastic actuator failures: A dual-sided looped fuzzy Lyapunov functional Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-29 Xiaoqing Li, Kun She, Kaibo Shi, Jun Cheng, Shouming Zhong, Zhinan Peng
In this article, by incorporating with the skills of fuzzy modeling method and fuzzy switching control technique, the nonfragile sampled-data control (SDC) synthesis problem for the ship electric propulsion systems (SEPSs) with lag transmission signal and stochastic actuator failures (SAFs) has been addressed. Firstly, to delineate the SAFs, the control input model is incorporated with semi-Markovian
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A two-way accelerator for feature selection using a monotonic fuzzy conditional entropy Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-29 Yanyan Yang, Degang Chen, Zhenyan Ji, Xiao Zhang, Lianjie Dong
Fuzzy rough set is a highly effective mathematical method for feature selection, which offers clear interpretability without expert knowledge. However, most of fuzzy-rough feature selection methods are to rely on all samples and candidate features during the selection of a best feature at each iteration. This often shares high computation complexity and is inefficient for large datasets. Therefore
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Sliding mode control for discrete interval type-2 fuzzy semi-Markov jump models with delay in controller mode switching Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-28 Runkun Li, Wenhai Qi, Ju H. Park, Jun Cheng, Kaibo Shi
The problem of asynchronous sliding mode control (SMC) for discrete nonlinear semi-Markov jump models is investigated by the semi-Markov kernel strategy, where asynchronous mechanism means that there is a one-step delay in the controller mode switching related to the system mode. Unlike traditional T-S fuzzy model, the interval type-2 fuzzy model is applied to represent discrete semi-Markov jump systems
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Fixed-time synchronization of discontinuous fuzzy competitive neural networks via quantized control Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-23 Caicai Zheng, Juan Yu, Fanchao Kong, Cheng Hu
This article concentrates on fixed-time synchronization for discontinuous fuzzy competitive neural networks including time-varying delays. Firstly, to cut down the signal transmission cost, two kinds of nontrivial control strategies, namely quantized control protocols without the linear part, are developed to investigate fixed-time synchronization of discontinuous fuzzy competitive neural networks
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Generalized cycle connectivity in fuzzy graphs Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-19 Aswathi Prabhath, Sunil Mathew, J.N. Mordeson
Cyclic flow is a very crucial concept in most interconnection networks. The cycle connectivity of a network allows one to identify the cyclic flow and hence determine its cyclic reachability. The cycle connectivity of a fuzzy graph depends on the strengths of all strong cycles in the graph. In this paper, we discuss generalized cycle connectivity of fuzzy graphs, which takes into account the strength
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Monometrics on betweenness sets: A general construction Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-15 Kavit Nanavati
Recently, the study of monometrics on betweenness relations has gathered impetus, with their applications ranging from rationalisation of ranking rules to penalty-based aggregation. The main challenge herein is to find a monometric with respect to the considered betweenness relation. While methods to generate monometrics on specific betweenness relations are known, no research has been done to investigate
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On the handling of inconsistent systems of max-min fuzzy relational equations Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-15 Ismaïl Baaj
In this article, we study the inconsistency of systems of max-min fuzzy relational equations. We first compute by an explicit analytical formula the Chebyshev distance (defined by the L-infinity norm) between the second member of an inconsistent system and the set of second members of consistent systems defined with the same matrix: that of the inconsistent system. Then we study the set of Chebyshev
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A formalization of constraint interval: A precussor to fuzzy interval analysis Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-13 Marina T. Mizukoshi, Tiago M. Costa, Yurilev Chalco-Cano, Weldon A. Lodwick
This presentation outlines some aspects of interval analysis from the constraint interval point of view, focusing on some issues associated with mathematical analysis, especially those that are fundamental to fuzzy mathematical analysis. We begin by reviewing interval representations from the standard interval point of view and the study of intervals as functions of parameters varying in hypercubes
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Inferring from an imprecise Plackett–Luce model: Application to label ranking Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-13 Loïc Adam, Arthur Van Camp, Sébastien Destercke, Benjamin Quost
The Plackett–Luce model is a popular parametric probabilistic model to define distributions between rankings of objects, modelling for instance observed preferences of users or ranked performances of algorithms. Since such observations may be scarce (users may provide partial preferences, or not all algorithms are run for a given experiment), it may be useful to consider the case where the parameters
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The fuzzy degree of nondensifiability and applications Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-09 G. García, G. Mora
We introduce the notion of fuzzy degree of nondensifiability (FDND for short) as a non-negative real number that measures the Hausdorff distance between a bounded set of a fuzzy metric space and its closest Peano continuum. The FDND allows us to analyze the precompact subsets of a fuzzy metric space. In fact, we present a characterization of the family of precompact and arc-connected subsets in terms
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The median under orness Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-08 István Á. Harmati, Lucian Coroianu, Robert Fullér
Besides the mean, the median is the most widely used single-valued descriptor of data sets. It is well-known that the orness level of the median operator is 1/2. In this paper we provide approximations of the median operator under a given level of orness. We find the exact optimal weighting vector for the 1-norm approximation problem in all conceivable cases and for 2-norm approximation up to nine
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Uninorms on bounded trellises Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-07 Yu Kong, Bin Zhao
In this paper, we construct uninorms on a bounded trellis based on t-(co)norms on a -semi-trellis and closure (interior) operators. The key is how to ensure the monotonicity of the constructed binary operation, which is closely related to the neutral element. We propose the uninorms on bounded trellises and study some basic properties. Specially, the neutral element must be middle-transitive if there
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Minimizing fuzzy interpretations in fuzzy description logics by using crisp bisimulations Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-06 Linh Anh Nguyen
The problem of minimizing finite fuzzy interpretations in fuzzy description logics (FDLs) is worth studying. For example, the structure of a fuzzy/weighted social network can be treated as a fuzzy interpretation in FDLs, where actors are individuals and actions are roles. Minimizing the structure of a fuzzy/weighted social network makes it more compact, thus making network analysis tasks more efficient
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Online sequential type-2 fuzzy wavelet extreme learning machine: A nonlinear observer application Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-06 Mohammadreza Esmaeilidehkordi, Maryam Zekri, Iman Izadi, Farid Sheikholeslam
The aim of this paper is to combine the time-frequency attributes of wavelets and neural network learning ability besides approximate reasoning features of type 2- fuzzy systems, and the advantages of online sequential extreme learning machine (one-pass learning and valid generalization achievement with extremely fast learning) in order to present a new effective algorithm in many applications. The
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A new approach to the fractional Abel k−integral equations and linear fractional differential equations in a fuzzy environment Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-06 Ngo Van Hoa, Tofigh Allahviranloo, Witold Pedrycz
This paper introduces some recent approaches to the fuzzy fractional Abel integral equations with respect to another function, which is called the fuzzy fractional Abel − integral equations. The problem proposed here allows for the interpolation of different types of fuzzy classical fractional Abel integral equations, and the solvability of each type of integral equation is also discussed. Additionally
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A note on representations of the Choquet integral via bases and transforms Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-05 Michał Boczek, Ondrej Hutník, Miriam Kleinová
In this note, we discuss the validity of formula (4.54) in Grabisch's book from 2016. This equation expresses the Choquet integral of nonnegative functions w.r.t. a game in the form of linear invertible transform of set functions. However, the formula (erroneously) excludes the empty set, which has consequences for deriving Choquet integral representations in the literature using this approach. We
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Modal reduction principles across relational semantics Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-05 Willem Conradie, Andrea De Domenico, Krishna Manoorkar, Alessandra Palmigiano, Mattia Panettiere, Daira Pinto Prieto, Apostolos Tzimoulis
The present paper establishes systematic connections among the first-order correspondents of Sahlqvist modal reduction principles in various relational semantic settings, including crisp and many-valued Kripke frames, and crisp and many-valued polarity-based frames (aka enriched formal contexts). Building on unified correspondence theory, we aim at introducing a theoretical environment which makes
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Robust Hybrid Learning Approach for Adaptive Neuro-Fuzzy Inference Systems Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-30 Ali Nik-Khorasani, Hadi Sadoghi-Yazdi, Ali Mehrizi
The Adaptive Neuro-Fuzzy Inference System (ANFIS) is a regression model that uses fuzzy logic and neural networks, making it suitable for modeling the uncertainty of regression problems. However, the non-robust loss function in ANFIS's hybrid learning algorithm can make it susceptible to the direct effects of noise and outliers. This paper introduces a new procedure that uses robust loss functions
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Multigranulation fuzzy probabilistic rough sets induced by overlap functions and their applications Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-02 Nana Han, Junsheng Qiao, Tengbiao Li, Weiping Ding
As we all know, t-norms can be used to construct fuzzy probabilistic rough set (FPRS). Meanwhile, overlap functions (OFs), as a sort of novel aggregation functions different from t-norms, have shown a flourishing situation in terms of applications and theory, especially for the study involving combination of OFs with rough sets. In this paper, we propose a novel OFs-based FPRS named as OFPRS. Specifically
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Updating information based on generalized credal sets. Part 1: Finite case Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-30 Andrey G. Bronevich, Igor N. Rozenberg
This paper considers updating information and statistical inference based on generalized credal sets. In the first part, we define possible ways of conditioning for generalized credal sets in a finite setting, and its realization based on generalized upper previsions with applications to decision making. We compare the obtained results with the generalized Bayes rule from the theory of imprecise probabilities
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Smooth compositions enhance safety of the fuzzy systems Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-30 Ebrahim Sadjadi
Fuzzy models provide an empirical structure for controller design upon the experience of the operator, where the system output is delivered from a block box. Hence, there is a lack of effective way for assuring the safety specifications during the system transitions. This is to say, there are safety-oriented restrictions where the system stated are prohibited to enter under the fuzzy based controller
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Katětov-Tong insertion theorem for functions with values in a tensor product of complete lattices Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-02-01 Tomasz Kubiak, Iraide Mardones-Pérez
It is shown that Katětov-Tong insertion theorem continues to hold for normal -topological spaces and functions with values in appropriately -topologized tensor product where is a complete lattice with an order-reversing involution and is a completely distributive lattice with a countable join base free of supercompact elements. When the first factor is the real unit interval, the tensor product can
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Simplification of ANFIS based on Importance-Confidence-Similarity Measures Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-29 Yali Jin, Weihua Cao, Min Wu, Yan Yuan, Yang Shi
Adaptive-network-based fuzzy inference system (ANFIS) is a well-known neuro-fuzzy system, which is widely implemented in nonlinear system approximation, prediction, control, and pattern classification. However, either too many fuzzy sets or fuzzy rules are indispensable to establish an accurate ANFIS for a high-dimensional system, which increases the complexity and limits the widespread application
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Necessary and sufficient conditions for the existence of fuzzy doubly strong equilibria in generalized fuzzy games Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-22 Jiuqiang Liu
The concept of doubly strong equilibrium is a refinement of the concept of strong Nash equilibrium which represents the most desirable situations for generalized games, where all players get the best among the available outcomes. In this paper, we use necessary and sufficient conditions for the existence of solutions of the Ky Fan minimax inequality to establish necessary and sufficient conditions
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Translation structures for fuzzy model theory Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-17 Răzvan Diaconescu
The theory of L-institutions is a fully axiomatic and abstract approach to fuzzy / many-valued truth model theory, which is based on category theory. In this paper we develop a series of mathematical structures and results that empower at various levels the logic translation paradigm for L-institutions. Our development parallels the well established logic translation themes in ordinary (binary truth)
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Linearity and linear extensions of fuzzy orders revisited Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-19 Tomas Urbanec
The famous Szpilrajn's extension theorem demonstrating existence of linear extension of any order is one of the most important results in order theory. Inevitably its various generalizations were studied also in the setting of fuzzy logic, where up to date results are rather pessimistic. Focusing on the arguably most developed approach to fuzzy orders where order relation is defined with respect to
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Fuzzy and rough approach to the problem of missing data in fall detection system Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-18 Teresa Mroczek, Dorota Gil, Barbara Pękala
Two new methods for mining incomplete data based on interval-valued fuzzy set theory and rough set theory, particularly maximal consistent blocks were proposed, and their application to the fall detection system, exactly to the posture detection system. The suggested methods are based on interval-valued aggregation operators supporting decision-making involving uncertainty. Additionally, the new measure
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A new decision analysis framework for multi-attribute decision-making under interval uncertainty Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-17 Xiao-Hong Pan, Shi-Fan He, Ying-Ming Wang
In decision-making analysis, the description on decision makers' risk attitude under uncertainty is a focus topic. This paper presents a novel decision analysis framework that considers uncertainty and risk using the cumulative prospect theory. The proposed approach describes uncertain preference information using interval-valued fuzzy sets, maintaining this representation without converting intervals
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Exact upper bound for copulas with a given diagonal section Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-15 Damjana Kokol Bukovšek, Blaž Mojškerc, Nik Stopar
We answer a 15-year-old open question about the exact upper bound for bivariate copulas with a given diagonal section by giving an explicit formula for this bound. As an application, we determine the maximal asymmetry of bivariate copulas with a given diagonal section and construct a copula that attains it. We derive a formula for the maximal asymmetry that is simple enough to be used by practitioners
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New fractal dimensions of measures and decompositions of singularly continuous measures Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-10 Rim Achour, Jihed Hattab, Bilel Selmi
By introducing a novel expression for the Hausdorff and packing measures with respect to gauge functions, we establish a connection between different approaches to defining the exact Hausdorff and packing dimensions of measures. Furthermore, we define the upper and lower Hausdorff and packing dimensions of a Borel probability measure and demonstrate that these dimensions can be represented using an
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Functional description of free algebras in subvarieties of BL-algebras Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-15 J.P. Díaz Varela, N. Lubomirsky
In this paper, we present a method to describe (functionally) free algebras in some subvarieties of BL-algebras. Particularly, we give a description of free algebras in subvarieties of the subvariety MG, where MG is the subvariety of BL generated by the algebra [0,1]MV⊕[0,1]G.
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Attribute implications in multi-adjoint concept lattices with hedges Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-08 M. Eugenia Cornejo, Jesús Medina, Francisco José Ocaña
The computation of (if-then) rules relating the most representative variables of a given dataset is a relevant goal in different areas of data analysis such as stock market prediction, disease diagnosis and census data analysis, among others. In Formal Concept Analysis (FCA), attribute implications follow the philosophy of the if-then rules establishing relationships between sets of attributes. This
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Admissible OWA operators for fuzzy numbers Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-12 Diego García-Zamora, Anderson Cruz, Fernando Neres, Regivan H.N. Santiago, Antonio F. Roldán López de Hierro, Rui Paiva, Graçaliz. P. Dimuro, Luis Martínez, Benjamín Bedregal, Humberto Bustince
Ordered Weighted Averaging (OWA) operators are some of the most widely used aggregation functions in classic literature, but their application to fuzzy numbers has been limited due to the complexity of defining a total order in fuzzy contexts. However, the recent notion of admissible order for fuzzy numbers provides an effective method to totally order them by refining a given partial order. Therefore
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General strong fuzzy solutions of fuzzy Sylvester matrix equations involving the BT inverse Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-12 Mengyu He, Hongjie Jiang, Xiaoji Liu
This paper aims to solve the fuzzy Sylvester matrix equation (FSME) AX˜+X˜B=C˜, in which A, B are n×n and m×m crisp matrices, and C˜ is a n×m fuzzy matrix. Using the Kronecker product, we transform the FSME into an mn×mn fuzzy linear system. Firstly, we obtain the necessary and sufficient conditions for the existence of strong fuzzy solutions to the FSME by using the BT inverse of the coefficient matrix
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Resilient fixed-time synchronization of delayed fuzzy memristive reaction-diffusion neural networks under DoS attacks Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-08 Qizhen Xiao, Hongliang Liu, Zhiyong Luo
This work focuses on the resilient fixed-time synchronization of delayed fuzzy memristive reaction-diffusion neural networks under denial-of-service (DoS) attacks. To efficaciously tolerate the aperiodic DoS attacks, a new appropriate controller is designed to ensure the fixed-time resilient synchronization of the systems. Moreover, two mild sufficient conditions are first proposed and the constrained
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Stabilization of time-delay nonlinear systems using Takagi-Sugeno fuzzy models Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-11 Amália Mátyás, Zoltán Nagy, Zsófia Lendek
We propose a controller design method for time-delay nonlinear systems with delays affecting both the states and the inputs, represented by Takagi-Sugeno fuzzy models with nonlinear consequents. To handle the nonlinearities in the consequents we assume that they are slope-bounded. Linear matrix inequality conditions are formulated to design the controller. The obtained results are compared to state-of-the-art
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FRCM: A fuzzy rough c-means clustering method Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-11 Bin Yu, Zijian Zheng, Mingjie Cai, Witold Pedrycz, Weiping Ding
Fuzzy c-means (FCM) clustering is a clustering method based on fuzzy theory. This method shows good adaptability by assigning membership values to each sample to represent the degree of membership of the sample to each cluster. However, when dealing with fuzzy boundary data, FCM also generates uncertainty and randomness, which in turn affects the accuracy of clustering results and the number of iterations
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Construction of Kα-orders including admissible ones on classes of discrete intervals Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-09 Peter Sussner, Lisbeth Corbacho Carazas
Ordering relations such as total orders, partial orders and preorders play important roles in a host of applications such as automated decision making, image processing, and pattern recognition. A total order that extends a given partial order is called an admissible order and a preorder that arises by mapping elements of a non-empty set into a poset is called an h-order or reduced order. In practice
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Performance recovery-based fuzzy robust control of networked nonlinear systems against actuator fault: A deferred actuator-switching method Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-09 Sai Huang, Guangdeng Zong, Ning Zhao, Xudong Zhao, Adil M. Ahmad
This paper concentrates on the performance recovery-based fuzzy robust control of networked nonlinear systems via a deferred actuator-switching approach. The main design procedure of this paper is divided into three parts: 1) nominal controller design; 2) monitoring function and shifting function design; 3) reconfigurable controller design. With the aid of low-computation method and fuzzy logic systems
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The powerset monad on quantale-valued sets Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-08 Lili Shen, Xiaojuan Zhao
For a small involutive quantaloid Q, it is shown that the category of separated complete Q-categories and left adjoint Q-functors is strictly monadic over the category of symmetric Q-categories. In particular, the (covariant) powerset monad on the category of quantale-valued sets is precisely formulated.
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Reconstructed weighted aggregation operator Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-02 LeSheng Jin, Radko Mesiar, Zhen-Song Chen
Every aggregation operator can embody a certain aggregation style pertaining to some detailed evaluation practice. Actually, with these aggregation styles preserved, additional weight functions can further influence the aggregation processes by reconstructing the innate aggregation structures. The advantage is significant because weight functions are commonly used in information fusion and it sometimes
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Mining positive and negative rules via one-sided fuzzy three-way concept lattices Fuzzy Set. Syst. (IF 3.9) Pub Date : 2024-01-02 Zhiyong Hu, Mingwen Shao, Jusheng Mi, Weizhi Wu
Mining association rules are a major area of research in data mining, as there are typically a large number of rules in each data set. And extracting necessary rules from each data set requires efficiency and careful consideration. In this paper, we propose a novel mining algorithm for efficiently acquiring positive and negative quantitative association rules (positive and negative QA-rules) in a fuzzy
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Convex weak concordance measures and their constructions Fuzzy Set. Syst. (IF 3.9) Pub Date : 2023-12-27 Radko Mesiar, Anna Kolesárová, Ayyub Sheikhi, Svitlana Shvydka
Considering the framework of weak concordance measures introduced by Liebscher in 2014, we propose and study convex weak concordance measures. This class of dependence measures contains as a proper subclass the class of all convex concordance measures, introduced and studied by Mesiar et al. in 2022, and thus it also covers the well-known concordance measures as Spearman's ρ, Gini's γ and Blomqvist's
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The strong fuzzy variational Henstock multiple integral on n-dimensional fuzzy number space Fuzzy Set. Syst. (IF 3.9) Pub Date : 2023-12-27 Yabin Shao, Yang Li, Zengtai Gong
In this paper, we define strongly fuzzy variational Henstock multiple integral and fuzzy Henstock integral by support functions on n-dimensional fuzzy number space. And we prove these two types of integrals are equivalent. After that, we propose the support-based derivative for strongly fuzzy variational Henstock integral functions and obtain the necessary and sufficient conditions for this differential
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Commutative, associative and monotone functions on horizontal sum of chains Fuzzy Set. Syst. (IF 3.9) Pub Date : 2023-12-28 Andrea Mesiarová-Zemánková, Michal Holčapek
The commutative, associative and monotone (CAM) functions on a horizontal sum of bounded chains are studied. Depending on their range, these functions are divided into two main classes and properties of CAM functions from each of these classes are described. Several necessary and sufficient conditions under which a CAM function defined on a horizontal sum of bounded chains can be expressed as a non-trivial
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The synchronization of K-valued Fuzzy cognitive maps Fuzzy Set. Syst. (IF 3.9) Pub Date : 2023-12-27 Chao Luo, Xiaojie Wang
Fuzzy cognitive maps (FCMs) with the abilities of knowledge representation and causal reasoning have been widely applied in the control-related fields of multi-agent systems (MAS), such as the mobile robots and unmanned aerial vehicles (UAVs). From the perspective of system applications, the cooperative control of group behaviors is a meaningful topic in this community, where the synchronization of
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Convergence of random elements via fuzzy integrals Fuzzy Set. Syst. (IF 3.9) Pub Date : 2023-12-19 Pedro Terán
Can convergence of random variables, random vectors or, more generally, random elements of a metric space be studied using fuzzy integrals, in particular the seminormed integral? Among the positive results we present, it is shown that for large families of t-seminorms convergence in distribution and convergence in probability can be characterized via seminormed integrals. This suggests that, while
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Existence of generalized Hukuhara differentiable solutions to a class of first-order fuzzy differential equations in dual form Fuzzy Set. Syst. (IF 3.9) Pub Date : 2023-12-20 M. Chehlabi, T. Allahviranloo
This article deals with the problem of the existence of solution for a class of first-order fuzzy differential equations in dual form in the sense that the derivative of the unknown function appears on both sides of the equation. The problem is studied from the point of view of the generalized Hukuhara differentiability and sufficient conditions for the existence of a unique solution are provided,
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The pseudo-inverse of a monotone function between complete lattices and its use in generating t-norms and t-conorms Fuzzy Set. Syst. (IF 3.9) Pub Date : 2023-12-14 Yanyan Dong, Bin Pang, Bernard De Baets
In this paper, we introduce the concept of pseudo-inverse of a monotone function between complete lattices. Using this pseudo-inverse, we provide methods for generating t-norms and t-conorms on a complete lattice via a complete inf-homomorphism and a complete sup-inf-homomorphism, respectively. In particular, when we consider an injective complete inf-homomorphism and an injective complete sup-inf-homomorphism
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Synchronization of fractional-order fuzzy complex networks with time-varying couplings and proportional delay Fuzzy Set. Syst. (IF 3.9) Pub Date : 2023-12-13 Yao Xu, Yuze Li, Wenxue Li, Chunmei Zhang
The topic of synchronization of fractional-order fuzzy complex networks with time-varying couplings and proportional delay is addressed in this paper. By combining graph theory, the Lyapunov method, and the Razumikhin method, the synchronization criteria are obtained by designing a new time-varying graph-theoretical Lyapunov function. Different from the typical quadratic Lyapunov function, the time-varying
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Optimal symmetric interval solution of fuzzy relation inequality considering the stability in P2P educational information resources sharing system Fuzzy Set. Syst. (IF 3.9) Pub Date : 2023-12-12 Lei Zhang
The max-min fuzzy relation inequalities have been recently introduced for modeling the Peer-to-Peer (P2P) educational information resources sharing system. Each solution of the max-min system is indeed a feasible scheme in the corresponding P2P network system. For a given solution, the allowed fluctuation tolerant for all the components, reflects the stability of its corresponding feasible scheme.
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Gauss-Legendre type quadrature iterative method for fuzzy Fredholm integral equations Fuzzy Set. Syst. (IF 3.9) Pub Date : 2023-12-06 Alexandru Mihai Bica, Shokrollah Ziari
In this paper we obtain an iterative method for the numerical solution of second kind fuzzy Fredholm integral equations by applying appropriate composite fuzzy quadrature formula. We approach a general fuzzy quadrature formula and show that the three-point and four-point Gauss-Legendre type fuzzy quadrature formulas are the best choice from computational cost and accuracy point of view. The convergence