Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice

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This volume presents the state of the art of new developments, and some interesting and relevant applications of the OWA (ordered weighted averaging) operators. The OWA operators were introduced in the early 1980s by Ronald R. Yager as a conceptually and numerically simple, easily implementable, yet extremely powerful general aggregation operator. That simplicity, generality and implementability of the OWA operators, combined with their intuitive appeal, have triggered much research both in the foundations and extensions of the OWA operators, and in their applications to a wide variety of problems in various fields of science and technology.

Part I: Methods includes papers on theoretical foundations of OWA operators and their extensions.The papers in Part II: Applications show some more relevant applications of the OWA operators, mostly means, as powerful yet general aggregation operators. The application areas are exemplified by environmental modeling, social networks, image analysis, financial decision making and water resource management.

Author(s): Michel Grabisch (auth.), Ronald R. Yager, Janusz Kacprzyk, Gleb Beliakov (eds.)
Series: Studies in Fuzziness and Soft Computing 265
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011

Language: English
Pages: 298
Tags: Appl.Mathematics/Computational Methods of Engineering; Artificial Intelligence (incl. Robotics)

Front Matter....Pages -
Front Matter....Pages 1-1
OWA Operators and Nonadditive Integrals....Pages 3-15
The WOWA Operator: A Review....Pages 17-28
Induced Ordered Weighted Averaging Operators....Pages 29-47
A Review of the OWA Determination Methods: Classification and Some Extensions....Pages 49-90
Fuzzification of the OWA Operators for Aggregating Uncertain Information with Uncertain Weights....Pages 91-109
A Majority Guided Aggregation Operator in Group Decision Making....Pages 111-133
Generating OWA Weights from Individual Assessments....Pages 135-147
The Role of the OWA Operators as a Unification Tool for the Representation of Collective Choice Sets....Pages 149-166
Applying Linguistic OWA Operators in Consensus Models under Unbalanced Linguistic Information....Pages 167-186
Front Matter....Pages 187-187
Fusion Strategies Based on the OWA Operator in Environmental Applications....Pages 189-207
Decision Making with Dempster-Shafer Theory Using Fuzzy Induced Aggregation Operators....Pages 209-228
Two Methods for Image Compression/Reconstruction Using OWA Operators....Pages 229-253
OWA-Based Fuzzy m -ary Adjacency Relations in Social Network Analysis....Pages 255-267
Soft Computing in Water Resources Management by Using OWA Operator....Pages 269-279
Combination of Similarity Measures in Ontology Matching Using the OWA Operator....Pages 281-295
Back Matter....Pages -