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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...
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Modeling of Fuzzy Data
Fuzzy data are imprecise data obtained from measurements, perception or by interviewing people. Typically, those data are expressed in linguistic...
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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...
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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,...
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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...
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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...
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Random Fuzzy Sets
Statistical models for observations which are numbers or vectors are random variables and random vectors, respectively. Similarly, if the...
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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...
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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...
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Approximating fixed point results for pseudo-contractive map and some remarks on demi-contractive map in the Banach space
The purpose of our paper is to present a few convergence results for the Krasnoselskii–Mann iteration and also the modified Krasnoselskii–Mann...
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Completeness properties of interval metric spaces
The purpose of this paper is to study the completeness properties of interval metric spaces. The idea of convergence and Cauchyness of sequences with...
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On a weighted Hermite–Hadamard inequality involving convex functional arguments
In this paper, we are interested in investigating a weighted variant of Hermite–Hadamard type inequalities involving convex functionals. The approach...
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Some aspects of k-ideals of semirings
The aim of this paper is to study some distinguished classes of k -ideals of semirings, which include k -prime, k -semiprime, k -radical, k -irreducible,...
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Bounds on Zero Forcing Using (Upper) Total Domination and Minimum Degree
While a number of bounds are known on the zero forcing number Z ( G ) of a graph G expressed in terms of the order of a graph and maximum or minimum...
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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...
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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....
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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...
