Aggregation Operators

1. Front Matter

   Pages I-XIV

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2. Aggregation Operators: Basic Concepts, Issues and Properties

   1. Front Matter

      Pages 1-1

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   2. Aggregation Operators: Properties, Classes and Construction Methods

      • Tomasa Calvo, Anna Kolesárová, Magda Komorníková, Radko Mesiar

      Pages 3-104

3. Theoretical Aspects of Aggregation Operators

   1. Front Matter

      Pages 105-105

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   2. Aggregation Based on Integrals: Recent Results and Trends

      • Michel Grabisch

      Pages 107-123

   3. Associative Aggregation Operators

      • W. Sander

      Pages 124-158

   4. Continuous WOWA Operators with Application to Defuzzification

      • Vicenç Torra, Lluís Godo

      Pages 159-176

   5. Using Importances in Group Preference Aggregation to Block Strategic Manipulation

      • Ronald R. Yager

      Pages 177-191

4. Applications of Aggregation Operators

   1. Front Matter

      Pages 193-193

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   2. Aggregation Operators in Engineering Design

      • Endre Pap

      Pages 195-223

   3. Aggregation of Interacting Criteria by Means of the Discrete Choquet Integral

      • Jean-Luc Marichal

      Pages 224-244

   4. Representation Models for Aggregating Linguistic Information: Issues and Analysis

      • F. Herrera, E. Herrera-Viedma, L. Martinez

      Pages 245-259

   5. Aggregation Techniques for Statistical Confidentiality

      • Josep Domingo-Ferrer, Vicenç Torra

      Pages 260-271

   6. Quantifier Guided Aggregation of Fuzzy Criteria with Associated Importances

      • I. Blanco, M. Delgado, M. J. Martín-Bautista, D. Sánchez, M. A. Vila

      Pages 272-287

5. Fuzzy Quantities and Their Aggregation

   1. Front Matter

      Pages 289-289

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   2. Verbally Generated Fuzzy Quantities and Their Aggregation

      • Milan Mareš, Radko Mesiar

      Pages 291-352

6. Back Matter

   Pages 353-353

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1. The increasing number of research papers appeared in the last years that either make use of aggregation functions or contribute to its theoretieal study asses its growing importance in the field of Fuzzy Logie and in others where uncertainty and imprecision play a relevant role. Since these papers are pub­ lished in many journals, few books and several proceedings of conferences, books on aggregation are partieularly welcome. To my knowledge, "Agrega­ tion Operators. New Trends and Applications" is the first book aiming at generality , and I take it as a honour to write this Foreword in response to the gentle demand of its editors, Radko Mesiar, Tomasa Calvo and Gaspar Mayor. My pleasure also derives from the fact that twenty years aga I was one of the first Spaniards interested in the study of aggregation functions, and this book includes work by several Spanish authors. The book contains nice and relevant original papers, authored by some of the most outstanding researchers in the field, and since it can serve, as the editors point out in the Preface, as a small handbook on aggregation, the book is very useful for those entering the subject for the first time. The book also contains apart dealing with potential areas of application, so it can be helpful in gaining insight on the future developments.

• Applications
• aggregation operator
• aggregation operators
• calculus
• fuzzy
• proof

• Department of Mathematics and Computer Science, University of the Balearic Islands, Palma de Mallorca, Spain

  Tomasa Calvo, Gaspar Mayor

• Department of Computer Science, University of Alcalá, Alcalá de Henares, Spain

  Tomasa Calvo

• Faculty of Civil Engineering, Slovak Technical University, Bratislava, Slovakia

  Radko Mesiar

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