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  1. Set-valued Data

    Since fuzzy sets are generalizations of ordinary sets, we present in this Chapter the essentials of random set theory for statistics. This material...
    Hung T. Nguyen, Berlin Wu in Fundamentals of Statistics with Fuzzy Data
    Chapter
  2. Modeling of Fuzzy Data

    Fuzzy data are imprecise data obtained from measurements, perception or by interviewing people. Typically, those data are expressed in linguistic...
    Hung T. Nguyen, Berlin Wu in Fundamentals of Statistics with Fuzzy Data
    Chapter
  3. Fuzzy Statistical Analysis and Estimation

    In social science research, many decisions, evaluations, or purposes of evaluations are done by surveys or questionnaires to seek for people’s...
    Hung T. Nguyen, Berlin Wu in Fundamentals of Statistics with Fuzzy Data
    Chapter
  4. Tests of Hypothesis: Means

    In many expositions of fuzzy methods, fuzzy techniques are described as an alternative to a more traditional statistical approach. In this chapter,...
    Hung T. Nguyen, Berlin Wu in Fundamentals of Statistics with Fuzzy Data
    Chapter
  5. Fuzzy Time Series Analysis and Forecasting

    The problem of system modeling and identification has attracted considerable attention during the past decades mostly because of a large number of...
    Hung T. Nguyen, Berlin Wu in Fundamentals of Statistics with Fuzzy Data
    Chapter
  6. Aspects of Statistical Inference

    With the background in previous chapters, problems of statistical inference with fuzzy data should be somewhat straightforward in principle! By that...
    Hung T. Nguyen, Berlin Wu in Fundamentals of Statistics with Fuzzy Data
    Chapter
  7. Convergence of Random Fuzzy Sets

    As in Chapter 5, we view random fuzzy sets as generalizations of random closed sets on R d , or more generally on...
    Hung T. Nguyen, Berlin Wu in Fundamentals of Statistics with Fuzzy Data
    Chapter
  8. Random Fuzzy Sets

    Statistical models for observations which are numbers or vectors are random variables and random vectors, respectively. Similarly, if the...
    Hung T. Nguyen, Berlin Wu in Fundamentals of Statistics with Fuzzy Data
    Chapter
  9. Introduction

    First like fuzzy logics are logics with fuzzy concepts, by fuzzy statistics we mean statistics with fuzzy data. Data are fuzzy when they are...
    Hung T. Nguyen, Berlin Wu in Fundamentals of Statistics with Fuzzy Data
    Chapter
  10. A Globally Convergent Inertial First-Order Optimization Method for Multidimensional Scaling

    Multidimensional scaling (MDS) is a popular tool for dimensionality reduction and data visualization. Given distances between data points and a...

    Article Open access 14 July 2024
  11. Generalized Hamiltonian systems on subvarieties: constant rank case

    For the constraint variety in symplectic manifold, the solvable Hamiltonian vector fields on the constraint are investigated. According to P.A.M....

    Takuo Fukuda, Stanislaw Janeczko in Research in the Mathematical Sciences
    Article Open access 14 July 2024
  12. A strongly convergent algorithm for solving split equality problems beyond monotonicity

    In this paper, we focus on some split inverse problems, namely the split equality variational inequalities and common fixed point problems, and...

    Oluwatosin Temitope Mewomo, Victor Amarachi Uzor, Aviv Gibali in Computational and Applied Mathematics
    Article Open access 13 July 2024
  13. A second-order convergent nonconforming polynomial stokes element on quadrilateral meshes

    In this paper, we construct a new mixed finite element for the Stokes problem on general convex quadrilateral partitions. The velocity is...

    Yuan Bao, Sibo Yang, ... Zhongxuan Luo in Computational and Applied Mathematics
    Article 13 July 2024
  14. On convergence of a sketch-and-project method for the matrix equation \(AXB=C\)

    In this paper, based on Lagrangian functions of the optimization problem we develop a sketch-and-project method for solving the linear matrix...

    Wendi Bao, Zhiwei Guo, ... Ying Lv in Computational and Applied Mathematics
    Article 12 July 2024
  15. Influence of uncertain coriolis parameter on wave solution of Korteweg-de Vries equation

    This article examines the approximate solution of the Geophysical Korteweg-de Vries (GKdV) equation in a fuzzy environment. The Adomian decomposition...

    Mrutyunjaya Sahoo, S. Chakraverty in GEM - International Journal on Geomathematics
    Article 12 July 2024
  16. Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels

    The aim of this paper is to implement the high-order local discontinuous Galerkin method (LDGM) for solving partial integro-differential equations...

    Hadi Mohammadi-Firouzjaei, Hojatollah Adibi, Mehdi Dehghan in Computational and Applied Mathematics
    Article 12 July 2024
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