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  • d-Choquet integrals: Choquet integrals based on dissimilarities
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-04-03
    H. Bustince; R. Mesiar; J. Fernandez; M. Galar; D. Paternain; A. Altalhi; G.P. Dimuro; B. Bedregal; Z. Takáč

    The paper introduces a new class of functions from [0,1]n to [0,n] called d-Choquet integrals. These functions are a generalization of the “standard” Choquet integral obtained by replacing the difference in the definition of the usual Choquet integral by a dissimilarity function. In particular, the class of all d-Choquet integrals encompasses the class of all “standard” Choquet integrals but the use

    更新日期:2020-04-03
  • Fudge: Fuzzy Ontology Building with Consensuated Fuzzy Datatypes
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-04-03
    Ignacio Huitzil; Fernando Bobillo; Juan Gómez-Romero; Umberto Straccia

    An important problem in Fuzzy OWL 2 ontology building is the definition of fuzzy membership functions for real-valued fuzzy sets (so-called fuzzy datatypes in Fuzzy OWL 2 terminology). In this paper, we present a tool, called Fudge, whose aim is to support the consensual creation of fuzzy datatypes by aggregating the specifications given by a group of experts. Fudge is freeware and currently supports

    更新日期:2020-04-03
  • On metric spaces of subcopulas
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-31
    Santi Tasena

    In this work, we show that two distance functions independently defined on the space of subcopulas are topological equivalent. In this process, we also defined another distance functions equivalent to the first two distances. Moreover, all metric spaces of subcopulas with fixed domain under the supremum distance are metric subspaces under this new distance function. We also prove that the Sklar correspondence

    更新日期:2020-03-31
  • Lower and upper bounds for the probabilistic Poincaré formula using the general Poincaré formula for λ-additive measures
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-30
    József Dombi; Tamás Jónás

    Following our previous paper Dombi and Jónás (2019) [16], we will now present new inequalities using the general Poincaré formula for λ-additive measures. These inequalities represent bounds for the well-known Poincaré formula of probability theory.

    更新日期:2020-03-30
  • Comment on “Fuzzy fractals and hyperfractals”
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-27
    Xinxing Wu; Lidong Wang

    This note shows that Lemma 3 in [1, J. Andres, M. Rypka, Fuzzy fractals and hyperfractals, Fuzzy Sets Syst. 300 (2016), 40–56] is not correct.

    更新日期:2020-03-27
  • Dual possibilistic regression analysis using support vector networks
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-03-18
    Pei-Yi Hao

    This study proposes a novel and efficient dual regression model for possibilistic regression analysis that incorporates the principles of support vector machine (SVM) theory. The dual regression model, which comprises an upper model and a lower model, approximates the observed fuzzy phenomena from the outside and inside directions, respectively, such that the inclusion relationship between those two

    更新日期:2020-03-27
  • Mixed fuzzy least absolute regression analysis with quantitative and probabilistic linguistic information
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-03-08
    Lisheng Jiang; Huchang Liao

    Regression analysis is widely used in evaluation and prediction, and fuzzy least absolute regression is preferred when data is fat-tailed or out-linear. Given that the probabilistic linguistic term set is a powerful tool in expressing evaluators' complex linguistic perceptions, this paper incorporates the probabilistic linguistic term set to the fuzzy least absolute regression and builds a fuzzy regression

    更新日期:2020-03-27
  • On linear fuzzy differential equations by differential inclusions' approach
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-05-28
    Alireza Khastan; Rosana Rodríguez-López

    In this paper, we study first order linear fuzzy differential equations under differential inclusions and strongly generalized differentiability approaches. We present some new results on the relation between their solutions. Finally, some examples are given to illustrate our results.

    更新日期:2020-03-27
  • A new membership function approach to uncertain functions
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-04-12
    Jan Chleboun

    A fuzzy set approach to uncertain functions is in the focus of this paper. The uncertainty in functions entering a model, a differential equation, for instance, is represented by α-dependent sets of crisp functions, that is, α-cuts determined by an integral membership functional that is defined by means of a continuous auxiliary function whose design depends on the information the analyst has about

    更新日期:2020-03-27
  • On the fuzzy difference equation xn = F(xn−1,xn−k)
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-04-18
    Taixiang Sun; Guangwang Su; Bin Qin

    In this paper, we study the global asymptotic behavior of the positive solutions of the following fuzzy difference equationxn=F(xn−1,xn−k),n∈{0,1,⋯}, under appropriate assumptions, where k∈{1,2,⋯} and the initial values x−k,x−k+1,⋯,x−1 are positive fuzzy numbers. We give sufficient conditions under which every positive solution of the above equation converges to a positive equilibrium.

    更新日期:2020-03-27
  • An efficient method combining active learning Kriging and Monte Carlo simulation for profust failure probability
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-02-06
    Chunyan Ling; Zhenzhou Lu; Bo Sun; Minjie Wang

    For more and more complicated engineering structures, it is a challenge to efficiently estimate the profust failure probability based on the probability inputs and fuzzy state assumption. By combining active learning Kriging with Monte Carlo simulation (AK-MCS), an efficient method is proposed to estimate the profust failure probability. Firstly, the profust failure probability is transformed into

    更新日期:2020-03-27
  • Granular counting of uncertain data
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-04-19
    C. Mencar; W. Pedrycz

    We propose a definition of granular count realized in the presence of uncertain data modeled through possibility distributions. We show that the resulting counts are fuzzy intervals in the domain of natural numbers. Based on this result, we devise two algorithms for granular counting: an exact counting algorithm with quadratic-time complexity and an approximate counting algorithm with linear-time complexity

    更新日期:2020-03-27
  • Fuzzy hypothesis testing for a population proportion based on set-valued information
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-02-28
    Nataliya Chukhrova; Arne Johannssen

    In this paper we propose fuzzy hypothesis testing for a proportion with crisp data as the exact generalized one-tailed hypergeometric test with fuzzy (non-)complementary hypotheses, and incorporate the conventional hypergeometric test with crisp hypotheses into its framework. In particular, we formulate hypotheses as ontic or epistemic (fuzzy) sets, since we assume that presumptions regarding the true

    更新日期:2020-03-27
  • Weighted pseudometric approximation of 2-dimensional fuzzy numbers by fuzzy 2-cell prismoid numbers preserving the centroid
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2018-12-28
    Shexiang Hai; Zengtai Gong; Zizhong Chen

    Up to now, there have been many research results about approximations of fuzzy numbers by specific fuzzy numbers under preservation of some operators. However, there are few investigations about approximations of n-dimensional fuzzy numbers. The main reason is that the structure of n-dimensional fuzzy numbers are more complex. This paper devotes to seek an approximation operator that produces a special

    更新日期:2020-03-27
  • Answers to some questions about Zadeh's extension principle on metric spaces
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-03-19
    Xinxing Wu; Xu Zhang; Guanrong Chen

    This paper shows that there exists a contraction whose Zadeh's extension is not a contraction under the Skorokhod metric, answering negatively Problems 5.8 and 5.12 posted in Jardón, Sánchez, and Sanchis (2019) [5].

    更新日期:2020-03-27
  • Distributed fuzzy adaptive consensus for high-order multi-agent systems with an imprecise communication topology structure
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-25
    Jiaxi Chen; Junmin Li; Xinxin Yuan

    In this study, we consider the consensus problem for a high-order multi-agent systems (MASs) with an imprecise communication topology structure described by the Takagi–Sugeno fuzzy model. A distributed adaptive control protocol is proposed for the consensus problem comprising MASs with unknown parameters and input disturbances. The proposed protocol can guarantee that the consensus errors asymptotically

    更新日期:2020-03-26
  • The number of t-norms on some special lattices
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-24
    C. Bejines; M. Bruteničová; M.J. Chasco; J. Elorza; V. Janiš

    We estimate the number of triangular norms on some classes of finite lattices. One of them is obtained from two chains by identifying their zero elements, unit elements and an atom. Another one is the set of the dual lattices of the previous one. The obtained formulas involve the number of triangular norms on the corresponding chains. We derive several properties of a triangular norm for this kind

    更新日期:2020-03-24
  • On data-based estimation of possibility distributions
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-23
    Dominik Hose; Michael Hanss

    In this paper, we show how a possibilistic description of uncertainty arises very naturally in statistical data analysis. In combination with recent results in inverse uncertainty propagation and the consistent aggregation of marginal possibility distributions, this estimation procedure enables a very general approach to possibilistic identification problems in the framework of imprecise probabilities

    更新日期:2020-03-24
  • L-metric on the space of L-fuzzy numbers
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-23
    Fu-Gui Shi

    In this article, a natural L-topology is constructed on the set of L-fuzzy numbers, which is called the standard L-topology. It is proved that the standard L-topology can be induced by an L-metric. The space of trapezoidal fuzzy numbers can be regarded as a subspace of the space of L-fuzzy numbers. An L-metric on the set of trapezoidal fuzzy numbers is presented.

    更新日期:2020-03-24
  • New results on pseudo almost periodic solutions of quaternion-valued fuzzy cellular neural networks with delays
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-23
    Changjin Xu; Maoxin Liao; Peiluan Li; Zixin Liu; Shuai Yuan

    This article investigates quaternion-valued fuzzy cellular neural networks with delays. 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

    更新日期:2020-03-24
  • Additive generators of fuzzy operations in the form of linear fractional functions
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-03-12
    Tatiana Ledeneva

    This paper is devoted to the analysis of additive generators in the form of linear fractional functions. The limitations on the coefficients of increasing and decreasing generators are defined. It is shown that the compositions of increasing and/or decreasing generators are also generators. For each case, the corresponding triangular norms or conorms are found. It is established that the triangular

    更新日期:2020-03-20
  • On the decomposability of aggregation functions on direct products of posets
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-01-28
    Ivan Chajda; Radomír Halaš; Radko Mesiar

    Based on results concerning equivalences on direct products of sets, a representation of aggregation functions acting on products of ordered structures by means of aggregation functions acting component-wise is obtained and discussed. In particular, t-norms and t-conorms on direct products of bounded lattices are considered, generalizing some earlier results of De Baets and Mesiar.

    更新日期:2020-03-20
  • A note on uninorms with continuous underlying operators
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-03-15
    Wen-Huang Li; Feng Qin; Yuan-Yuan Zhao

    Our investigations are motivated by the fact uninorms as mixed aggregation operations on the unit interval have been widely used in fuzzy set theory. This paper is mainly to characterize the inner structure of uninorms with continuous underlying operators given by ordinal sums, and then presents some of their properties. To be specific, for a uninorm, we describe the relations of its two arbitrary

    更新日期:2020-03-20
  • Addendum to “On the migrativity of uninorms and nullnorms over overlap and grouping functions” [Fuzzy Sets Syst. 346 (2018) 1–54]
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-05-10
    Kuan Yun Zhu; Bao Qing Hu

    Recently, Qiao and Hu have investigated the α-migrativity of uninorms and nullnorms over overlap functions and grouping functions (Qiao and Hu, 2018 [38]). However, the α-migrativity of overlap functions and grouping functions over uninorms and nullnorms is missing. In this paper, as a supplement of the above paper, we investigate the α-migrativity of overlap functions and grouping functions over uninorms

    更新日期:2020-03-20
  • Lattice-based sum of t-norms on bounded lattices
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-01-18
    Moataz El-Zekey

    The concept of ordinal sums in the sense of Clifford have long been blamed for their limitations in constructing new t-norms including inability to cope with general bounded lattices. Motivated by this observation, and based on the lattice-based sum of lattices that has been recently introduced by El-Zekey et al., we propose a new sum-type construction of t-norms, called a lattice-based sum of t-norms

    更新日期:2020-03-20
  • A new structure for uninorms on bounded lattices
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-02-05
    Yexing Dan; Bao Qing Hu

    This article investigates the construction of uninorms on bounded lattices. First, by using the fact that triangular norms (t-norms) and triangular conorms (t-conorms) on an arbitrary bounded lattice always exist, we introduce a new construction of uninorms on arbitrary bounded lattices with the neutral element. Then we illustrate how our new construction method is different from some existing methods

    更新日期:2020-03-20
  • On constructing the largest and smallest uninorms on bounded lattices
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-04-24
    Aifang Xie; Sanjiang Li

    Uninorms on the unit interval are a common extension of triangular norms (t-norms) and triangular conorms (t-conorms). As important aggregation operators, uninorms play a very important role in fuzzy logic and expert systems. Recently, several researchers have studied constructions of uninorms on more general bounded lattices. In particular, Çaylı (2019) gave two methods for constructing uninorms on

    更新日期:2020-03-20
  • Some results about nullnorms on bounded lattices
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-03-19
    Gül Deniz Çaylı

    Nullnorms as a generalization of the concepts of t-norms and t-conorms admit a zero element to be any element in a bounded lattice. In this paper, we discuss the characterization of idempotent nullnorms on bounded lattices and investigate some of the main properties of them. We propose some new methods yielding nullnorms, in particular idempotent nullnorms, on bounded lattices with the fixed zero element

    更新日期:2020-03-20
  • Weak and directional monotonicity of functions on Riesz spaces to fuse uncertain data
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-01-31
    Mikel Sesma-Sara; Radko Mesiar; Humberto Bustince

    In the theory of aggregation, there is a trend towards the relaxation of the axiom of monotonicity and also towards the extension of the definition to other domains besides real numbers. In this work, we join both approaches by defining the concept of directional monotonicity for functions that take values in Riesz spaces. Additionally, we adapt this notion in order to work in certain convex sublattices

    更新日期:2020-03-20
  • Uni-nullnorms on bounded lattices
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-01-09
    Ya-Ming Wang; Hang Zhan; Hua-Wen Liu

    In this paper, we study uni-nullnorms with both neutral elements and zero elements on bounded lattices. In order to illustrate the existence of uni-nullnorms on bounded lattices, we present two construction methods for obtaining such a uni-nullnorm. Also, we show two additional methods for the construction of idempotent nullnorms on bounded lattices, which are generalizations of the one proposed by

    更新日期:2020-03-20
  • On some classes of directionally monotone functions
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2019-02-13
    H. Bustince; R. Mesiar; A. Kolesárová; G.P. Dimuro; J. Fernandez; I. Diaz; S. Montes

    In this work we consider some classes of functions with relaxed monotonicity conditions generalizing some other given classes of fusion functions. In particular, directionally increasing aggregation functions (called also pre-aggregation functions), directionally increasing conjunctors, or directionally increasing implications, etc., generalize the standard classes of aggregation functions, conjunctors

    更新日期:2020-03-20
  • Solutions to two open problems in topological residuated lattices
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-18
    Pengfei He; Jiang Yang; Juntao Wang

    The main aim of this paper is to solve two open problems in topological residuated lattices. In this paper, given a linear topological residuated lattice, we find sufficient and necessary conditions under which the original topology coincides with the new one induced by a system of filters of the residuated lattice. This result will be valid for finite and infinite BL-algebras, which is a complete

    更新日期:2020-03-20
  • Reliability-based fuzzy clustering ensemble
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-16
    Ali Bagherinia; Behrooz Minaei-Bidgoli; Mehdi Hossinzadeh; Hamid Parvin

    In the clustering ensemble the quality of base-clusterings influences the consensus clustering. Although some researches have been devoted to weighting the base-clustering, fuzzy cluster level weighting has been ignored, more specifically, they did not pay attention to the role of cluster reliability in the fuzzy clustering ensemble. In this paper, we propose a new fuzzy clustering ensemble framework

    更新日期:2020-03-20
  • Finite-time prescribed performance adaptive fuzzy control for unknown nonlinear systems
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-16
    Tianyue Zhou; Cungen Liu; Xiaoping Liu; Huanqing Wang; Yucheng Zhou

    This paper aims at the problem of finite-time prescribed performance adaptive fuzzy control for a class of unknown nonlinear systems. 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. Furthermore, a finite-time prescribed performance adaptive

    更新日期:2020-03-20
  • On a characterization of representable uninorms
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-13
    Gang Li; Hua-Wen Liu

    The uninorm has been used successfully in many different fields as a generalization of both the triangular norm and triangular conorm. Different classes of uninorms have been discussed in previous studies. In particular, the class of representable uninorms has been characterized from different viewpoints. In the present study, we provide a characterization of representable uninorms using a functional

    更新日期:2020-03-20
  • Fuzzy Concept Combination: An Empirical Study
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-13
    Igor Douven

    Fuzzy set theory has been criticized for building on an ill-understood notion, viz., that of graded membership. To address this concern, recent work has proposed an operational definition of this notion, which experimental studies have subsequently shown to make accurate predictions regarding people's judgments of degrees of membership. It is still an open question whether analogous positive results

    更新日期:2020-03-20
  • Distributivity between extended t-norms and t-conorms on fuzzy truth values
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-10
    Zhi-qiang Liu; Xue-ping Wang

    This paper concentrates on the distributive laws between extended t-norms and t-conorms on fuzzy truth values under the condition that the t-norm is conditionally distributive over the t-conorm or the t-conorm is conditionally distributive over the t-norm. It presents the distributive laws between extended t-norms and t-conorms, which are then used to discuss the distributive laws between extended

    更新日期:2020-03-20
  • FuzzyFeatureRank. Bringing order into fuzzy classifiers through fuzzy expressions
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-10
    Pablo Carmona; Juan Luis Castro

    This work presents FuzzyFeatureRank, a new feature reduction method inspired on PageRank to reduce the dimensionality of the feature space in supervised classification problems. More precisely, as it relies on a weighted directed graph, it is ultimately inspired on TextRank, a PageRank based method that adds weights to the edges to express the strength of the connections between nodes. The method is

    更新日期:2020-03-20
  • A generalized Hellinger distance for Choquet integral
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-10
    Hamzeh Agahi

    In this paper, we introduce a generalized Hellinger distance between two monotone measures, including a derivative with respect to monotone measures. Then some properties of this distance are studied. We also obtain a lower bound for the generalized Hellinger distance. Finally, an error bound for the generalized Hellinger distance on conjugates is studied.

    更新日期:2020-03-20
  • Multi-adjoint concept lattices via quantaloid-enriched categories
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-10
    Hongliang Lai; Lili Shen

    With quantaloids carefully constructed from multi-adjoint frames, it is shown that multi-adjoint concept lattices, multi-adjoint property-oriented concept lattices and multi-adjoint object-oriented concept lattices are derivable from Isbell adjunctions, Kan adjunctions and dual Kan adjunctions between quantaloid-enriched categories, respectively.

    更新日期:2020-03-20
  • Matrix representation of stability definitions for the graph model for conflict resolution with reciprocal preference relations
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-06
    Nannan Wu; D. Marc Kilgour; Keith W. Hipel; Yejun Xu

    Within the framework of the graph model, a matrix formulation is developed to model and analyze conflicts in which decision makers (DMs) may have reciprocal preferences. Specifically, matrix expressions are employed to represent DMs' reciprocal preference relations, unilateral movements (UMs) and fuzzy unilateral improvements (FUIs), as well as joint UMs and joint FUIs for a coalition of two or more

    更新日期:2020-03-20
  • Correlated equilibrium of games in fuzzy environment
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-03-04
    Zoltán Makó; Júlia Salamon

    In this paper, we introduce the notion of fuzzy correlated equilibrium in bimatrix games, where the payoffs of the players are given by fuzzy numbers. The correlated equilibrium is a generalization of Nash equilibrium, i.e. every Nash equilibrium is correlated equilibrium, this basic relationship is satisfied even between the fuzzy Nash and fuzzy correlated equilibria, if the ranking method is an incomplete

    更新日期:2020-03-20
  • Extensions and distortions of λ-fuzzy measures
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-28
    Umberto Cherubini; Sabrina Mulinacci

    We propose extensions and distorsion techniques to improve the flexibility of λ-fuzzy measures. As for extensions, we suggest to use the family of Archimedean t-conorms as generators of the fuzzy measures. As for distortions, we propose the composition or patchwork of different generators. As an example of application, we show that in option pricing these techniques substantially improve the flexibility

    更新日期:2020-03-20
  • Dynamic analysis of fractional-order quaternion-valued fuzzy memristive neural networks: Vector ordering approach
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-28
    Hongzhi Wei; Ruoxia Li; Baowei Wu

    This paper addresses the problems of stabilization and synchronization control of the fractional-order quaternion-valued fuzzy memristive neural networks. By means of the contraction mapping theorem, the corresponding conditions are established for the existence and uniqueness of the equilibrium point (EP), subsequently, the corresponding stability analysis are proposed by two suitable controllers

    更新日期:2020-03-20
  • Observer-based output feedback fuzzy control for nonlinear parabolic PDE-ODE coupled systems
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-27
    Huai-Ning Wu; Xiu-Mei Zhang; Jun-Wei Wang; Huan-Yu Zhu

    This paper employs observer-based feedback control technique to discuss the design problem of output feedback fuzzy controllers for a class of nonlinear coupled systems of a parabolic partial differential equation (PDE) and an ordinary differential equation (ODE), where both ODE output and pointwise PDE observation output (i.e., only PDE state information at some specified positions of the spatial

    更新日期:2020-03-20
  • On admissible orders over closed subintervals of [0,1]
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-26
    Fagner Santana; Benjamin Bedregal; Petrucio Viana; Humberto Bustince

    In this paper, we make some considerations about admissible orders on the set of closed subintervals of the unit interval I[0,1], i.e. linear orders that refine the product order on intervals. We propose a new way to generate admissible orders on I[0,1] which is more general than those we find in the current literature. Also, we deal with the possibility of an admissible order on I[0,1] to be isomorphic

    更新日期:2020-03-20
  • On the solvability of bipolar max-product fuzzy relation equations with the standard negation
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-26
    M. Eugenia Cornejo; David Lobo; Jesús Medina

    Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations. This paper gives a characterization of the solvability of bipolar max-product fuzzy (relation) equations with the standard negation. In addition, some properties associated with the existence of the greatest/least solution or maximal/minimal solutions

    更新日期:2020-03-20
  • On the construction of fuzzy betweenness relations from metrics
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-26
    Hua-Peng Zhang; Raúl Pérez-Fernández; Bernard De Baets

    We consider the problem of constructing a fuzzy betweenness relation from a metric. More precisely, given a continuous Archimedean triangular norm, we present two construction methods for a fuzzy betweenness relation from a metric by making use of the pseudo-inverse of either a continuous additive generator or a continuous multiplicative generator of the triangular norm. In case the metric is bounded

    更新日期:2020-03-20
  • A peak-to-peak filtering for continuous Takagi-Sugeno fuzzy systems by a local method
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-25
    Yue Wu; Jiuxiang Dong; Tieshan Li

    We investigate the peak-to-peak filtering problem for continuous Takagi-Sugeno fuzzy systems. First, a novel filter, where the premise variables depend partly on the output of the filter, is constructed and the corresponding filtering error system is obtained. Then, a new approach, which is called the local approach, is developed for the filtering error system. Here, the local approach means that the

    更新日期:2020-03-20
  • On the construction of uninorms on bounded lattices
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-21
    Emel Aşıcı; Radko Mesiar

    Recently, construction methods for uninorms on bounded lattices have been studied widely. In this paper, we present two different methods for constructing uninorms on an appropriate bounded lattice with a fixed neutral element e, which is different from the top and bottom elements by using the knowledge of the existence of triangular norms and triangular conorms on bounded lattices. By using these

    更新日期:2020-03-20
  • A unified approach to the monotone integral-based premium principles under the CPT theory
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-19
    Biljana Mihailović; Endre Pap; Mirjana Štrboja; Ana Simićević

    We consider the relationship between different types of the monotone integral-based premium principles. As a common frame for the CPT premium principle and the mean premium principle, the CPT-like integral-based premium principle is introduced and characterized. The Jensen-type inequalities for the Choquet integral and the CPT-like premium principle on the class of non-negative risks are proven. We

    更新日期:2020-03-20
  • Ordinal sums of triangular norms on a bounded lattice
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-14
    Yao Ouyang; Hua-Peng Zhang; Bernard De Baets

    The ordinal sum construction provides a very effective way to generate a new triangular norm on the real unit interval from existing ones. One of the most prominent theorems concerning the ordinal sum of triangular norms on the real unit interval states that a triangular norm is continuous if and only if it is uniquely representable as an ordinal sum of continuous Archimedean triangular norms. However

    更新日期:2020-03-20
  • Modelling socio-political competition
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-14
    Willem Conradie; Alessandra Palmigiano; Claudette Robinson; Apostolos Tzimoulis; Nachoem Wijnberg

    This paper continues the investigation of the logic of competing theories (be they scientific, social, political etc.) initiated in [4]. We introduce a many-valued, multi-type modal language which we endow with relational semantics based on enriched reflexive graphs, inspired by Ploščica's representation of general lattices. We axiomatize the resulting many-valued, non-distributive modal logic of these

    更新日期:2020-03-20
  • Cartesian closedness of a category of non-frame valued complete fuzzy orders
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-14
    Min Liu

    Let H={0,12,1} with the natural order and p&q=max⁡{p+q−1,0} for all p,q∈H. We know that the category of liminf complete H-ordered sets is Cartesian closed. In this paper, it is proved that the category of conically cocomplete H-ordered sets with liminf continuous functions as morphisms is Cartesian closed. More importantly, a counterexample is given, which shows that the function spaces consisting

    更新日期:2020-03-20
  • Learning rule sets and Sugeno integrals for monotonic classification problems
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-13
    Quentin Brabant; Miguel Couceiro; Didier Dubois; Henri Prade; Agnès Rico

    In some variants of the supervised classification setting, the domains of attributes and the set of classes are totally ordered sets. The task of learning a classifier that is nondecreasing w.r.t. each attribute is called monotonic classification. Several kinds of models can be used in this task; in this paper, we focus on decision rules. We propose a method for learning a set of decision rules that

    更新日期:2020-03-20
  • Completeness for monadic fuzzy logics via functional algebras
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-13
    Diego Castaño; Cecilia Cimadamore; José Patricio Díaz Varela; Laura Rueda

    We study S5-modal (monadic) expansions of extensions of Hájek's basic logic BL. Hájek proposed Hilbert-style systems axiomatizing these logics and we prove that completeness theorems for these logics follow from algebraic representation results, namely, functional representations of finitely subdirectly irreducible algebras. We prove a general theorem linking these concepts and give two major applications

    更新日期:2020-03-20
  • A full scale Sklar's theorem in the imprecise setting
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-02-05
    Matjaž Omladič; Nik Stopar

    In this paper we present a surprisingly general extension of the main result of a paper that appeared in this journal: Montes et al. (2015) [13]. The main tools we develop in order to do so are: (1) a theory on quasi-distributions based on an idea presented in a paper by R. Nelsen with collaborators; (2) starting from what is called (bivariate) p-box in the above mentioned paper we propose some new

    更新日期:2020-03-20
  • Dominance on continuous Archimedean triangular norms and generalized Mulholland inequality
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-01-28
    Milan Petrík

    As a preceding result, it has been shown that the dominance relation is not transitive on the set of strict triangular norms. This result has been achieved thanks to new results on Mulholland inequality. Recently, Saminger-Platz, De Baets, and De Meyer have introduced the generalized Mulholland inequality which characterizes the dominance on all continuous Archimedean triangular norms in an analogous

    更新日期:2020-03-20
  • Quantale-valued dissimilarity
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-01-28
    Hongliang Lai; Lili Shen; Yuanye Tao; Dexue Zhang

    Inspired by the theory of apartness relations of Scott, we establish a positive theory of dissimilarity valued in an involutive quantale Q without the aid of negation. It is demonstrated that a set equipped with a Q-valued dissimilarity is precisely a symmetric category enriched in a subquantaloid of the quantaloid of back diagonals of Q. Interactions between Q-valued dissimilarities and Q-valued similarities

    更新日期:2020-03-20
  • On transitive modal many-valued logics
    Fuzzy Set. Syst. (IF 2.907) Pub Date : 2020-01-24
    Amanda Vidal

    This paper is focused on the study of modal logics defined from valued Kripke frames, and particularly, on computability and expressivity questions of modal logics of transitive Kripke frames evaluated over certain residuated lattices. It is shown that a large family of those logics -including the ones arising from the standard MV and Product algebras- yields an undecidable consequence relation. Later

    更新日期:2020-03-20
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