Aggregation Functions in Theory and in Practise

Publisher Springer

Format

eBook

2nd Edition 1st Edition

Quantity

Add New

Publisher

Springer

Volume

Copyright

2013

ISBN13

9783642391651

Release

Format

eBook

Grade Level

College Freshman - College Senior

DDC
TBD

Overview

This volume collects the extended abstracts of 45 contributions of participants to the Seventh International Summer School on Aggregation Operators (AGOP 2013), held at Pamplona in July, 16-20, 2013. These contributions cover a very broad range, from the purely theoretical ones to those with a more applied focus. Moreover, the summaries of the plenary talks and tutorials given at the same workshop are included.Together they provide a good overview of recent trends in research in aggregation functions which can be of interest to both researchers in Physics or Mathematics working on the theoretical basis of aggregation functions, and to engineers who require them for applications.
Front Cover.
Editorial Board.
Title Page.
Copyright Page.
Preface.
Organization.
Invited Speakers.
Contents.
1: Invited Talks.
2: Functional Equations Involving Fuzzy Implications and Their Applications in Approximate Reasoning.
3: Aggregation Operators and Observable Properties of Human Reasoning.
4: Copulas, Tail Dependence and Applications to the Analysis of Financial Time Series.
5: On Quadratic Constructions of Copulas.
6: Compatible Group Decisions.
7: A Review of the Relationships between Aggregation, Implication and Negation Functions.
8: Copulas.
9: On Some Construction Methods for Bivariate Copulas.
10: On the Construction of Semiquadratic Copulas.
11: Copulas and Self-affine Functions.
12: Diagonal Copulas.
13: R Package to Handle Archimax or Any User-Defined Continuous Copula Construction: Acopula.
14: How to Prove Sklar's Theorem.
15: Ordered Aggregation.
16: OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators: Axiomatic Analysis under Arity-Dependence (I).
17: OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators. A Simulation Study (II).
18: Duplication in OWA-Generated Positional Aggregation Rules.
19: Application of OWA Operators in the L-Fuzzy Concept Analysis.
20: Norm Aggregations and OWA Operators.
21: T-norms.
22: Migrativity of Uninorms over T-norms and T-conorms.
23: Additive Generators of Overlap Functions.
24: Continuous T-norms and T-conorms Satisfying the Principle of Inclusion and Exclusion.
25: On Mulholland Inequality and Dominance of Strict Triangular Norms.
26: Distributivity Equation in the Class of Noncommutative T-Operators.
27: On Some Classes of Discrete Additive Generators.
28: Multi-criteria Decision Making.
29: The Consensus Functional Equation in Agreement Theory.
30: A Discriminative Dynamic Index Based on Bipolar Aggregation Operators for Supporting Dynamic Multi-criteria Decision Making.
31: Social Choice Voting with Linguistic Preferences and Difference in Support.
32: Calibration of Ut
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Aggregation Functions in Theory and in Practise

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