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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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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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Epidemic modelling by birth-death processes with spatial scaling
In epidemic modeling, interpretation of compartment quantities, such as s , i , and r in relevant equations, is not always straightforward. Ambiguities...
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Super implicit two-step collocation methods for ordinary differential equations
This paper introduces a class of two-step collocation methods for the numerical solution of ordinary differential equations. These methods which are...
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Sliding method and one-dimensional symmetry for p-Laplace equations
Let f be a sign-changing locally Lipschitz continuous function which satisfies some mild assumptions. We show that every nonnegative solution to the...
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Generalized high-order compact difference schemes for the generalized Rosenau–Burgers equation
A shallow-water wave propagation model can be described as a generalized Rosenau–Burgers equation with strong nonlinearity and high-order dispersion...
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Novel formulas of moments of Negative Binomial distribution connected with Apostol-Bernoulli numbers of higher order and Stirling numbers
The main subject of this article is to present and reveal some new relationships between the moment generating functions of the Negative Binomial...
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Self-adaptive alternating direction method of multiplier for a fourth order variational inequality
We propose an alternating direction method of multiplier for approximation solution of the unilateral obstacle problem with the biharmonic operator....
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Common best proximity point theorems in Hausdorff topological spaces
In the present paper, we have obtained common best proximity point theorems of nonself maps in Hausdorff topological space. Further, our results...
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The Banach Fixed Point Theorem: selected topics from its hundred-year history
On June 24, 1920 Stefan Banach presented his doctoral dissertation titled O operacjach na zbiorach abstrakcyjnych i ich zastosowaniach do równañ...
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Numerical solution of nonlinear fractional delay integro-differential equations with convergence analysis
In this work, a high accurate method is given for solving the nonlinear fractional delay integro-differential equations, numerically. By considering...
