Aggregation Operators

New Trends and Applications

Tomasa Calvo, Gaspar Mayor, Radko Mesiar

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Hardback

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English

Physica-Verlag GmbH & Co
10 April 2002

Fuzzy set theory; Mathematical theory of computation; Artificial intelligence

Series: Studies in Fuzziness and Soft Computing

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.

Edited by: Tomasa Calvo, Gaspar Mayor, Radko Mesiar
Imprint: Physica-Verlag GmbH & Co
Country of Publication: Germany
Edition: 2002 ed.
Volume: 97
Dimensions: Height: 235mm, Width: 155mm, Spine: 22mm
Weight: 1.550kg
ISBN: 9783790814682
ISBN 10: 3790814687
Series: Studies in Fuzziness and Soft Computing
Pages: 353
Publication Date: 10 April 2002
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Hardback
Publisher's Status: Active

1 Aggregation Operators: Basic Concepts, Issues and Properties.- Aggregation Operators: Properties, Classes and Construction Methods.- 2 Theoretical Aspects of Aggregation Operators.- Aggregation Based on Integrals: Recent Results and Trends.- Associative Aggregation Operators.- Continuous WOWA Operators with Application to Defuzzification.- Using Importances in Group Preference Aggregation to Block Strategic Manipulation.- 3 Applications of Aggregation Operators.- Aggregation Operators in Engineering Design.- Aggregation of Interacting Criteria by Means of the Discrete Choquet Integral.- Representation Models for Aggregating Linguistic Information: Issues and Analysis.- Aggregation Techniques for Statistical Confidentiality.- Quantifier Guided Aggregation of Fuzzy Criteria with Associated Importances.- 4 Fuzzy Quantities and Their Aggregation.- Verbally Generated Fuzzy Quantities and Their Aggregation.