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The Ordered Weighted Averaging Operators

Theory and Applications

  • Book
  • © 1997

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Editors:
  1. Ronald R. Yager

    1. Iona College, New Rochelle, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Janusz Kacprzyk

    1. Polish Academy of Sciences, Warsaw, Poland

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-ix
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  2. Basic Issues in Aggregation

    1. Front Matter

      Pages 1-1
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    2. Kolmogorov’s Theorem and Its Impact on Soft Computing

      • Hung T. Nguyen, Vladik Kreinovich
      Pages 3-17

    3. Possibility and Necessity in Weighted Aggregation

      • Christer Carlsson, Robert Fullér, Szvetlana Fullér
      Pages 18-28

    4. OWA operators and an extension of the contrast model

      • Bernadette Bouchon-Meunier, Maria Rifqi
      Pages 29-35

    5. Equivalence of Changes in Proportions at Crossroads of Mathematical Theories

      • János Aczél, Günter Rote, Jens Schwaiger
      Pages 36-38

  3. Fundamental Aspects of OWA Operators

    1. Front Matter

      Pages 39-39
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    2. On the Inclusion of Importances in OWA Aggregations

      • Ronald R. Yager
      Pages 41-59

    3. On the Linguistic OWA Operator and Extensions

      • F. Herrera, E. Herrera-Viedma
      Pages 60-72

    4. Alternative Representations of OWA Operators

      • Michel Grabisch
      Pages 73-85

  4. Mathematical Issues and OWA Operators

    1. Front Matter

      Pages 87-87
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    2. Useful Tools for Aggregation Procedures: Some Consequences and Applications of Strassen’s Measurable Hahn-Banach-Theorem

      • Heinz J. Skala
      Pages 89-97

    3. OWA Specificity

      • Arthur Ramer
      Pages 98-106

    4. Ordered Continuous Means and Information

      • Arthur Ramer
      Pages 107-119

  5. OWA Operators in Decision Analysis

    1. Front Matter

      Pages 121-121
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    2. OWA Operators in Decision Making with Uncertainty and Nonnumeric Payoffs

      • Ronald R. Yager, Maria Teresa Lamata
      Pages 123-138

    3. On the Role of Immediate Probability in Various Decision Making Models

      • Kurt J. Engemann, Ronald R. Yager
      Pages 139-154

    4. Risk Management Using Fuzzy Logic and Genetic Algorithms

      • Teresa C. Rubinson, Georgette Geotsi
      Pages 155-166

    5. OWA Operators for doctoral student selection problem

      • Christer Carlsson, Robert Fullér, Szvetlana Fullér
      Pages 167-177

  6. OWA Operators in Multicriteria and Multiperson Decision Making

    1. Front Matter

      Pages 179-179
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Keywords

About this book

Aggregation plays a central role in many of the technological tasks we are faced with. The importance of this process will become even greater as we move more and more toward becoming an information-cent.ered society, us is happening with the rapid growth of the Internet and the World Wirle Weh. Here we shall be faced with many issues related to the fusion of information. One very pressing issue here is the development of mechanisms to help search for information, a problem that clearly has a strong aggregation-related component. More generally, in order to model the sophisticated ways in which human beings process information, as well as going beyond the human capa­ bilities, we need provide a basket of aggregation tools. The centrality of aggregation in human thought can be be very clearly seen by looking at neural networks, a technology motivated by modeling the human brain. One can see that the basic operations involved in these networks are learning and aggregation. The Ordered Weighted Averaging (OWA) operators provide a parameter­ ized family of aggregation operators which include many of the well-known operators such as the maximum, minimum and the simple average.

Editors and Affiliations

  • Iona College, New Rochelle, USA

    Ronald R. Yager

  • Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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