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The Ordered Weighted Averaging Operators : Theory and Applications - Ronald R. Yager

The Ordered Weighted Averaging Operators

Theory and Applications

By: Ronald R. Yager (Editor), J. Kacprzyk (Editor)

Hardcover

Published: 31st May 1997
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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.

Preface
Basic Issues in Aggregation
Kolmogorov's Theorem and its Impact on Soft Computing
Possibility and Necessity in Weighted Aggregation
Operators and an Extension of the Contrast Model
Equivalence of Changes in Proportions at Crossroads of Mathematical Theories
Fundamental Aspects of OWA Operators. On the Inclusion of Importances in OWA Aggregation
On the Linguistic OWA Operator and Extensions
Alternative Representations of OWA Operators
Mathematical Issues and OWA Operators
Useful Tools for Aggregation procedures: Some Consequences and Applications of Strassen's Measurable Hahn-Banach Theorem
OWA Specificity
OWA Operators in Decision Analysis. OWA Operators in Decision Making with Uncertainty and Nonnumeric Payoffs
On the Role of Immediate Probability in Various Decision Making Models
Risk Management Using Fuzzy Logic and Genetic Algorithms
OWA Operators for Doctoral Student Selection Problem
OWA Operators in Multicriteria and Multiperson Decision Making
Beyond Min Aggregation in Multicriteria Decision: (Ordered) Weighted Mean, Discri-Min, Leximin
Operators in Group Decision Making and Consensus Reaching Under Fuzzy Preferences and Fuzzy Majority
Of the Linguistic OWA Operators in Group Decision Making
Rules in Committee Procedures
OWA Operators in Querying and Information Retrieval
Quantified Statements and Some Interpretations for the OWA Operators
Using OWA Operators in Flexible Query Processing
of OWA Operators to Soften Information Retrieval Systems
Implementation of OWA Operators in Fuzzy Querying for Microsoft Access
OWA Operators in Learning and Classification. OWA-Based Computing: Learning Algorithms
OWA Operators in Machine Learning from Imperfect Examples
An Application of OWA Operators to the Aggregation of Multiple Classification Decisions
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792399346
ISBN-10: 079239934X
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 347
Published: 31st May 1997
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 1.5