Aggregation Operators

by Calvo, Tomasa; Mayor, Gaspar; Mesiar, Radko

• ISBN13: 9783790814682
• ISBN10: 3790814687
• Format: Hardcover
• Copyright: 2002-07-01
• Publisher: Physica Verlag

Summary

This book describes the current status of major parts of the theory of aggregation operators and examines potential areas for its applications. The authors have gathered self-contained papers and present essential material on selected topics in a comprehensive manner. In doing so they avoid tedious proofs and unnecessary details - this is not the case for several contributions containing new results and ideas which show the latest streaming of aggregation theory and potential application areas. The book is divided in four parts. The first part contains an overview of aggregation operators, including construction methods and different classes of aggregation operators. The second part is devoted to the theoretical aspects of aggregation and the third part looks at the field of applications. The final part offers an alternative look at the aggregation of verbal variables as fuzzy quantities.

Table of Contents

Foreword	v
E. Trillas
Preface	ix
T. Calvo
G. Mayor
R. Mesiar
Part 1 Aggregation Operators: Basic Concepts, Issues and Properties
Aggregation Operators: Properties, Classes and Construction Methods	3	(104)
T. Calvo
A. Kolesarova
M. Komornikova
R. Mesiar
Part 2 Theoretical Aspects of Aggregation Operators
Aggregation Based on Integrals: Recent Results and Trends	107	(17)
M. Grabisch
Associative Aggregation Operators	124	(35)
W. Sander
Continuous WOWA Operators with Application to Defuzzification	159	(18)
V. Torra
L. Godo
Using Importances in Group Preference Aggregation to Block Strategic Manipulation	177	(18)
R.R. Yager
Part 3 Applications of Aggregation Operators
Aggregation Operators in Engineering Design	195	(29)
E. Pap
Aggregation of Interacting Criteria by Means of the Discrete Choquet Integral	224	(21)
J.-L. Marichal
Representation Models for Aggregating Linguistic Information: Issues and Analysis	245	(15)
F. Herrera
E. Herrera-Viedma
L. Martinez
Aggregation Techniques for Statistical Confidentiality	260	(12)
J. Domingo-Ferrer
V. Torra
Quantifier Guided Aggregation of Fuzzy Criteria with Associated Importances	272	(19)
I. Blanco
M. Delgado
M.J. Martin-Bautista
D. Sanchez
M.A. Vila
Part 4 Fuzzy Quantities and Their Aggregation
Verbally Generated Fuzzy Quantities and Their Aggregation	291
M. Mares
R. Mesiar