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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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UCB Strategies in a Gaussian Two-Armed Bandit Problem
We consider the two-armed bandit problem in the application to batch data processing if there are two alternative processing methods with different a...
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Accelerated Stochastic Gradient Method with Applications to Consensus Problem in Markov-Varying Networks
Stochastic optimization is a vital field in the realm of mathematical optimization, finding applications in diverse domains ranging from operations...
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How to Use Barriers and Symmetric Regularization of Lagrange Function in Analysis of Improper Nonlinear Programming Problems
In the note, we present a new approach to numerical analysis of improper mathematical programming problems based on ideas of symmetrically...
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Filtering Correction for Robotic Arms Multipurpose Regulators
The paper is devoted to the problem of compensating the external disturbances while stabilizing the robotic arm in the specified position by...
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Decision Analysis of Military Supply Chain Based on Stackelberg Game Model
The military supply chain assumes a paramount role in national security and defense infrastructure development, entailing substantial economic...
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A Learning-Augmented Algorithm for the Parking Permit Problem with Three Permit Types
We consider the parking permit problem with three permit types. First, we prove the tight lower bound on the competitiveness of any deterministic...
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Assessing the Perron-Frobenius Root of Symmetric Positive Semidefinite Matrices by the Adaptive Steepest Descent Method
We discuss the maximum eigenvalue problem which is fundamental in many cutting-edge research fields. We provide the necessary theoretical background...
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Dynamic Stability of Coalition Structures in Network-Based Pollution Control Games
This paper investigates the dynamics of coalition stability in pollution control games that are built on networks. It specifically focuses on the...
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Tabu Search for a Service Zone Clustering Problem
Network maintenance by service engineers (SE) involves a range of activities to ensure that the network is functioning optimally and providing...
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Fast Heuristics for a Staff Scheduling Problem with Time Interval Demand Coverage
Staff scheduling is a key component of supporting and increasing competitiveness for many service enterprises. This is of especially urgent concern...
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Automated and Automatic Systems of Management of an Optimization Programs Package for Decisions Making
It is known that, in spite of a large number of methods for numerical solutions to various classes of problems, the choice of the most efficient...