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Basic Principles of Classical Mechanics
To describe the motion of mechanical systems one uses a variety of mathematical models which are based on different principles - laws of motion. In...
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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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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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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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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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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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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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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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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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Axisymmetric Flows with Swirl for Euler and Navier–Stokes Equations
We consider the incompressible axisymmetric Navier–Stokes equations with swirl as an idealized model for tornado-like flows. Assuming an infinite...
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Numerical and analytical approach of nonlinear fractional pantograph nonlocal differential systems with non-singular kernel
The objective of this study is to derive the appropriate conditions for the existence of Atangana-Baleanu-Caputo (ABC) fractional pantograph nonlocal...
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Belief and plausible divergence measures: a novel approach to multicriteria decision making with modified CODAS
Divergence measure between intuitionistic fuzzy sets (IFSs) is important due to its wide range of applications in various fields including pattern...
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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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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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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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Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces
In this paper, we mainly study subtransversality and two types of strong CHIP (given via Fréchet and limiting normal cones) for a collection of...