Soft Methods for Data Science 1st Edition by Maria Brigida Ferraro, Paolo Giordani, Barbara Vantaggi, Marek Gagolewski, María Ángeles Gil, Przemysław Grzegorzewski, Olgierd Hryniewicz 3319429724 9783319429724

Soft Methods for Data Science 1st Edition by Maria Brigida Ferraro, Paolo Giordani, Barbara Vantaggi, Marek Gagolewski, María Ángeles Gil, Przemysław Grzegorzewski, Olgierd Hryniewicz – Ebook PDF Instant Download/DeliveryISBN:  3319429724, 9783319429724 

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ISBN-10 :  3319429724 

ISBN-13 :  9783319429724

Author:  Maria Brigida Ferraro, Paolo Giordani, Barbara Vantaggi, Marek Gagolewski, María Ángeles Gil, Przemysław Grzegorzewski, Olgierd Hryniewicz

This proceedings volume is a collection of peer reviewed papers presented at the 8th International Conference on Soft Methods in Probability and Statistics (SMPS 2016) held in Rome (Italy). The book is dedicated to Data science which aims at developing automated methods to analyze massive amounts of data and to extract knowledge from them. It shows how Data science employs various programming techniques and methods of data wrangling, data visualization, machine learning, probability and statistics. The soft methods proposed in this volume represent a collection of tools in these fields that can also be useful for data science.

Soft Methods for Data Science 1st Table of contents:

Mean Value and Variance of Fuzzy Numbers with Non-continuous Membership Functions
1 Introduction
2 Bounded Variation Functions
3 Weighted Mean Value of Fuzzy Numbers
3.1 Weighted Mean Value Using α-cuts
3.2 The Case f(α)=1
3.3 Example
3.4 Possibilistic Framework
3.5 Weighted Mean Value of Continuous Fuzzy Numbers
4 Weighted Variance of Fuzzy Numbers
4.1 Weighted Variance of Continuous Fuzzy Numbers
5 Conclusion
References
On the Construction of Radially Symmetric Trivariate Copulas
1 Introduction
2 Radial Symmetry and Associativity
3 The Construction
4 Conclusions and Future Work
References
Simulation of the Night Shift Solid Waste Collection System of Phuket Municipality
1 Introduction
2 The Scope of This Research
3 Methodology
3.1 The Study of the Night Solid Waste Collection System of Phuket Municipality
3.2 Data Collection and Analysis
3.3 The Analysis of the Distribution
3.4 Model Building, Verification and Validation
3.5 Set the New Assigned Zones and Routings
4 Results and Conclusion
References
Updating Context in the Equation: An Experimental Argument with Eye Tracking
1 New Paradigm in Psychology of Reasoning
2 The Equation
3 Context of Revision
4 The Experiment
4.1 Methodology
4.2 Results and Discussion
5 Conclusion
References
Black-Litterman Model with Multiple Experts’ Linguistic Views
1 Introduction
2 Preliminaries
3 Black-Litterman Model with Linguistic Views
4 Empirical Study
5 Conclusion
References
Representing Lightweight Ontologies in a Product-Based Possibility Theory Framework
1 Introduction
2 Product-Based Possibilistic DL-Lite
2.1 Weighted Assertional DL-Lite Knowledge Base
2.2 Semantics
3 Inconsistency Degree as a Weighted Max-2-Horn-SAT Problem
3.1 Weighted Max-2-Horn-SAT (WM2HSAT)
3.2 From an Inconsistent Pb-π-DL-Lite KB to a Weighted 2-Horn KB
4 Query Answering in a Product-Based Possibilistic DL-Lite
5 Conclusions and Future Work
References
Asymptotics of Predictive Distributions
1 Introduction
1.1 The Problem
1.2 Heuristics
2 Conditionally Identically Distributed Sequences
3 Results
3.1 A General Criterion
3.2 The Dominated Case
References
Independent k-Sample Equality Distribution Test Based on the Fuzzy Representation
1 Introduction
2 Preliminaries
3 Testing the Equality of Real-Valued Distributions
3.1 Simulation Studies
3.2 Practical Applications
4 Conclusions
References
Agglomerative Fuzzy Clustering
1 Introduction
2 Fuzzy Clustering
3 Hierarchical Agglomerative Clustering
4 Agglomerative Fuzzy Clustering
5 Experimental Results
6 Conclusions
References
Bayesian Inference for a Finite Population Total Using Linked Data
1 Introduction
2 Record Linkage
3 Inference on Linked Data
3.1 Linkage and Estimation of Total: Full Bayesian Approach
4 A Small Scale Simulation Study
References
The Extension of Imprecise Probabilities Based on Generalized Credal Sets
1 Introduction
2 The Main Definitions and Constructions
3 Modeling Uncertainty by Imprecise Probabilities
4 The Conjunctive Rule for Contradictory Sources of Information Based on Generalized Credal Sets
5 Expectation Estimation with Generalized Credal Sets
6 The Natural Extension Based on Generalized Credal Sets
References
A Generalized SMART Fuzzy Disjunction of Volatility Indicators Applied to Option Pricing in a Binom
1 Introduction
2 Facing the Practical Problem
3 Conclusion
References
The Representation of Conglomerative Functionals
1 Introduction
2 Notation and Preliminary Results
3 Integral Representation of Linear Functionals
4 Finitely Additive Representations
References
The Likelihood Interpretation of Fuzzy Data
1 Introduction
2 The Likelihood Interpretation
3 Fuzzy Data
4 Fuzzy Inference
5 Conclusion
References
Combining the Information of Multiple Ranker in Ranked Set Sampling with Fuzzy Set Approach
1 Introduction
2 Fuzzy-Weighted Ranked Set Sampling Procedure
3 Estimation of Population Mean
4 Simulation Study
5 Conclusions
References
A Savage-Like Representation Theorem for Preferences on Multi-acts
1 Introduction
2 Preliminaries
3 Preferences on Multi-acts
References
On Some Functional Characterizations of (Fuzzy) Set-Valued Random Elements
1 Introduction
2 The Support Function and the Kernel-Radial Characterization
3 Statistical Frameworks
4 Conclusions
References
Maximum Likelihood Under Incomplete Information: Toward a Comparison of Criteria
1 Introduction
2 The Random Phenomenon and Its Measurement Process
3 Different Likelihood Functions
4 A Comparison of Estimation-Disambiguation Methods
5 Conclusion
References
The Use of Uncertainty to Choose Matching Variables in Statistical Matching
1 Introduction
2 Choice of the Matching Variables
2.1 Uncertainty in Statistical Matching
2.2 Choosing the Matching Variables by Uncertainty Reduction
2.3 Estimating Cell Bounds
3 Application and Results
4 Conclusions
References
Beyond Fuzzy, Possibilistic and Rough: An Investigation of Belief Functions in Clustering
1 Introduction
2 Credal Partition
2.1 Credal Partition
2.2 Evidential Clustering Algorithms
3 Relationships with Other Clustering Paradigms
3.1 Generality of the Notion of Credal Partition
3.2 Summarization of a Credal Partition
4 Conclusions
References
Small Area Estimation in the Presence of Linkage Errors
1 Data Integration and Impact of Linkage Errors
2 Linkage Model and Linkage Errors
3 Small Area Estimation Based on Unit Linear Mixed Model
3.1 The Unit Linear Mixed Model
3.2 The Unit Linear Mixed Model Under RL
3.3 Estimation of Variance Components (ML)
3.4 Small Area Estimation Under Linkage Errors
4 Results on Simulated Data
5 Concluding Remarks and Future Works
References
A Test for Truncation Invariant Dependence
1 Introduction
2 The Testing Procedure
3 Approximation of the Variance of the Test Statistics
References
Finite Mixture of Linear Regression Models: An Adaptive Constrained Approach to Maximum Likelihood
1 Introduction
2 The Issue of Degeneracy and How to Avoid It
3 The Proposed Methodology
References
A Multivariate Analysis of Tourists’ Spending Behaviour
1 Introduction
2 The Dataset
3 The Methodology
4 Model Results and Discussion
5 Conclusions
References
Robust Fuzzy Clustering via Trimming and Constraints
1 Introduction
2 Methodology
3 Algorithm
4 Tuning Parameters
5 An Example
References
One-Factor Lévy-Frailty Copulas with Inhomogeneous Trigger Rates
1 Motivation
2 Generalized One-Factor Lévy-Frailty Copulas
3 Parameter Estimation
4 Conclusion
References
A Perceptron Classifier and Corresponding Probabilities
1 Introduction
2 The Perceptron
3 Kernel Learning
3.1 Positive Definite Kernels
3.2 The Optimal Separating Hyperplane
4 Probabilistic Interpretation of the Decision Procedure
5 Preliminary Experimental Results
6 Conclusion and Outlook
References
Fuzzy Signals Fed to Gaussian Channels
1 Introduction
2 Preliminaries and Technicalities
3 Fuzziness Error
4 Channel Capacity Under a Fuzziness Constraint
References
Fuzzy Clustering Through Robust Factor Analyzers
1 Introduction
2 Fuzzy Clustering Through Gaussian Factors
3 Numerical Results
4 Concluding Remarks
References
Consensus-Based Clustering in Numerical Decision-Making
1 Introduction
2 Preliminaries
3 Consensus
4 Clustering
5 Concluding Remarks
References
Spatial Outlier Detection Using GAMs and Geographical Information Systems
1 Introduction. Spatial Outliers
2 Spatial Outlier Detection by Interpolation
2.1 Multivariate Spatial Outliers
3 Spatial Outlier Detection by a Robust GAM
4 Identification of Spatial Outliers
4.1 Cubic Regression Splines
References
Centering and Compound Conditionals Under Coherence
1 Introduction
2 Centering
3 Biconditional and n-Conditional Centering
4 Conclusion
References
Approximate Bayesian Methods for Multivariate and Conditional Copulae
1 Introduction
2 Approximate Bayesian Computation
3 The Proposed Approach
4 An Example: Spearman’s ρ
5 Further Research
References
The Sign Test for Interval-Valued Data
1 Introduction
2 The Sign Test
3 Interval-Valued Data
4 The Sign Test in the Epistemic Perspective
5 The Sign Test in the Ontic Perspective
6 Conclusions
References
Probability Distributions Related to Fuzzy P-Values
1 Introduction
2 The Concept of P-Value—A Crisp Case
3 The Concept of P-Value—A Fuzzy Case
4 Probability Distributions of Deffuzified P-Values
5 Conclusions
References
Probabilistic Semantics and Pragmatics for the Language of Uncertainty
1 Introduction
2 Some Data and Observations
2.1 Compounds of Conditionals
2.2 Unconditionals
3 Bernoulli Models
4 Interrogative Antecedents
References
Dynamic Analysis of the Development of Scientific Communities in the Field of Soft Computing
1 Introduction
2 Dataset Description
3 Analysis of the Development Dynamic of Scientific Communities
3.1 Renewal of Conferences’ Participants
3.2 Key Participants
3.3 The Level of Communication Among Communities in Relation to the Key Participants
3.4 The Participation of the Key Participants in Other Communities
3.5 The Most Active Community Members and Most Active Communities
3.6 Analysis of Participation Uniformity of the Key Participants in Different Communities
4 Conclusions
References
Talk to Your Neighbour: A Belief Propagation Approach to Data Fusion
1 Context and Motivation
2 The Approach
3 BP-fuse
4 Related Work
5 Conclusions
References
The Qualitative Characteristics of Combining Evidence with Discounting
1 Introduction
2 Belief Function Basics
3 Estimation of Ignorance Associated with the Belief Function
4 Change of Ignorance After Combining with the Crisp Discount Rates
5 Change of Ignorance After Combining with Fuzzy Discount Rates
6 Conclusion
References
Measuring the Dissimilarity Between the Distributions of Two Random Fuzzy Numbers
1 Introduction
2 Preliminaries
3 A Sample Measure for the Dissimilarity Between the Distributions of Two Fuzzy Datasets
4 Conclusions and Future Directions

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