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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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Pricing of shout option in uncertain financial market
The shout option allows the investors to make "shouts" to the seller throughout the option’s duration. The investors’ payoff is higher between the...
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Pricing and carbon reduction decisions for a new uncertain dual-channel supply chain under cap-and-trade regulation
This study concentrates on the pricing issue in a low-carbon dual-channel (DC) supply chain, where the upper-level manufacturer is regulated by the...
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Pricing and valuation of carbon swap in uncertain finance market
It has become a consensus in the international community to actively address global climate change issues and strive to achieve carbon reduction. For...
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Fuzzy support vector regressions for short-term load forecasting
The accurate short-term point and probabilistic load forecasts are critically important for efficient operation of power systems and electricity...
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A large-scale neighborhood search algorithm for multi-activity tour scheduling problems
In this research, we study multi-activity tour scheduling problems with heterogeneous employees in a service sector where demand varies greatly...
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Assignment of orthologous genes in unbalanced genomes using cycle packing of adjacency graphs
The adjacency graph is a structure used to model genomes in several rearrangement distance problems. In particular, most studies use properties of a...
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Method of Optimizing the Structure of Sowing Areas for the Adaptation of Crop Production to Climate Changes
The paper is devoted to crop production adaptation to climate change. It considers the problem of finding the future optimal structure of the sowing...
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Some Boundary-Value Problems Corresponding to the Model of Fractional Differential Filtration Dynamics in a Fractured Porous Media Under the Condition of Time Non-Locality
Closed-form solutions to some boundary-value problems of fractional differential geofiltration dynamics in a fractured porous medium are obtained for...
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Strong Convergence of the Regularized Operator Extrapolation Algorithm For Variational Inequalities
The authors propose and investigate a new algorithm for solving variational inequalities in Hilbert spaces. The proposed iterative algorithm is...
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Mathematical models and solving methods for diversity and equity optimization
Discrete diversity optimization basically consists of selecting a subset of elements of a given set in such a way that the sum of their pairwise...
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Some Asymptotic Properties of Solutions to Triharmonic Equations
The author considers an optimization problem for the triharmonic equation under specific boundary conditions. As a result, the triharmonic Poisson...