Aggregation Functions A Guide For Practitioners

Author : Gleb Beliakov
Publisher : Springer
ISBN 13 : 9783540841180
Total Pages : 361 pages
Book Rating : 4.80/5 ( download)

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Download or read book Aggregation Functions: A Guide for Practitioners written by Gleb Beliakov and published by Springer. This book was released on 2009-09-02 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad introduction to the topic of aggregation functions is to be found in this book. It also provides a concise account of the properties and the main classes of such functions. Some state-of-the-art techniques are presented, along with many graphical illustrations and new interpolatory aggregation functions. Particular attention is paid to identification and construction of aggregation functions from application specific requirements and empirical data.

Author : Gleb Beliakov
Publisher : Springer
ISBN 13 : 3540737219
Total Pages : 361 pages
Book Rating : 4.16/5 ( download)

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Download or read book Aggregation Functions: A Guide for Practitioners written by Gleb Beliakov and published by Springer. This book was released on 2007-09-09 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad introduction to the topic of aggregation functions is to be found in this book. It also provides a concise account of the properties and the main classes of such functions. Some state-of-the-art techniques are presented, along with many graphical illustrations and new interpolatory aggregation functions. Particular attention is paid to identification and construction of aggregation functions from application specific requirements and empirical data.

Author : Vicenç Torra
Publisher : Springer
ISBN 13 : 3319593064
Total Pages : 264 pages
Book Rating : 4.67/5 ( download)

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Download or read book Aggregation Functions in Theory and in Practice written by Vicenç Torra and published by Springer. This book was released on 2017-05-17 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the abstracts of the contributions presented at AGOP 2017, the 9th International Summer School on Aggregation Operators. The conference took place in Skövde (Sweden) in June 2017. Contributions include works from theory and fundamentals of aggregation functions to their use in applications. Aggregation functions are usually defined as those functions that are monotonic and that satisfy the unanimity condition. In particular settings these conditions are relaxed. Aggregation functions are used for data fusion and decision making. Examples of these functions include means, t-norms and t-conorms, copulas and fuzzy integrals (e.g., the Choquet and Sugeno integrals).

Author : Simon James
Publisher : Springer
ISBN 13 : 331946762X
Total Pages : 199 pages
Book Rating : 4.27/5 ( download)

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Download or read book An Introduction to Data Analysis using Aggregation Functions in R written by Simon James and published by Springer. This book was released on 2016-11-07 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook helps future data analysts comprehend aggregation function theory and methods in an accessible way, focusing on a fundamental understanding of the data and summarization tools. Offering a broad overview of recent trends in aggregation research, it complements any study in statistical or machine learning techniques. Readers will learn how to program key functions in R without obtaining an extensive programming background. Sections of the textbook cover background information and context, aggregating data with averaging functions, power means, and weighted averages including the Borda count. It explains how to transform data using normalization or scaling and standardization, as well as log, polynomial, and rank transforms. The section on averaging with interaction introduces OWS functions and the Choquet integral, simple functions that allow the handling of non-independent inputs. The final chapters examine software analysis with an emphasis on parameter identification rather than technical aspects. This textbook is designed for students studying computer science or business who are interested in tools for summarizing and interpreting data, without requiring a strong mathematical background. It is also suitable for those working on sophisticated data science techniques who seek a better conception of fundamental data aggregation. Solutions to the practice questions are included in the textbook.

Author : Michel Grabisch
Publisher : Cambridge University Press
ISBN 13 : 0521519268
Total Pages : 481 pages
Book Rating : 4.67/5 ( download)

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Download or read book Aggregation Functions written by Michel Grabisch and published by Cambridge University Press. This book was released on 2009-07-09 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous and self-contained exposition of aggregation functions and their properties.

Author : Humberto Bustince Sola
Publisher : Springer Science & Business Media
ISBN 13 : 3642391656
Total Pages : 535 pages
Book Rating : 4.51/5 ( download)

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Download or read book Aggregation Functions in Theory and in Practise written by Humberto Bustince Sola and published by Springer Science & Business Media. This book was released on 2013-06-20 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the extended abstracts of 45 contributions of participants to the Seventh International Summer School on Aggregation Operators (AGOP 2013), held at Pamplona in July, 16-20, 2013. These contributions cover a very broad range, from the purely theoretical ones to those with a more applied focus. Moreover, the summaries of the plenary talks and tutorials given at the same workshop are included. Together they provide a good overview of recent trends in research in aggregation functions which can be of interest to both researchers in Physics or Mathematics working on the theoretical basis of aggregation functions, and to engineers who require them for applications.

Author : Radomír Halaš
Publisher : Springer
ISBN 13 : 3030194949
Total Pages : 348 pages
Book Rating : 4.49/5 ( download)

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Download or read book New Trends in Aggregation Theory written by Radomír Halaš and published by Springer. This book was released on 2019-05-16 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the contributions presented at AGOP 2019, the 10th International Summer School on Aggregation Operators, which took place in Olomouc (Czech Republic) in July 2019. It includes contributions on topics ranging from the theory and foundations of aggregation functions to their various applications. Aggregation functions have numerous applications, including, but not limited to, data fusion, statistics, image processing, and decision-making. They are usually defined as those functions that are monotone with respect to each input and that satisfy various natural boundary conditions. In particular settings, these conditions might be relaxed or otherwise customized according to the user’s needs. Noteworthy classes of aggregation functions include means, t-norms and t-conorms, uninorms and nullnorms, copulas and fuzzy integrals (e.g., the Choquet and Sugeno integrals). This book provides a valuable overview of recent research trends in this area.

Author : Barbara Pękala
Publisher : Springer
ISBN 13 : 3319939106
Total Pages : 181 pages
Book Rating : 4.00/5 ( download)

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Download or read book Uncertainty Data in Interval-Valued Fuzzy Set Theory written by Barbara Pękala and published by Springer. This book was released on 2018-06-27 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to fuzzy sets theory and their operations, with a special focus on aggregation and negation functions. Particular attention is given to interval-valued fuzzy sets and Atanassov’s intuitionistic fuzzy sets and their use in uncertainty models involving imperfect or unknown information. The theory and application of interval-values fuzzy sets to various decision making problems represent the central core of this book, which describes in detail aggregation operators and their use with imprecise data represented as intervals. Interval-valued fuzzy relations, compatibility measures of interval and the transitivity property are thoroughly covered. With its good balance between theoretical considerations and applications of originally developed algorithms to real-world problem, the book offers a timely, inspiring guide to mathematicians and engineers developing new decision making models or implementing/applying existing ones to a wide range of applications involving imprecise or incomplete data.

Author : Michalis Doumpos
Publisher : Springer
ISBN 13 : 3030114821
Total Pages : 427 pages
Book Rating : 4.24/5 ( download)

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Download or read book New Perspectives in Multiple Criteria Decision Making written by Michalis Doumpos and published by Springer. This book was released on 2019-04-02 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive coverage of the latest research on multiple criteria research analysis (MCDA) and related areas, gathering a collection of high-quality chapters prepared by leading scholars in the field. By covering the established streams in MCDA research and simultaneously exploring new and emerging areas of application, it offers a unique reference resource for the future development of MCDA. The book approaches MCDA as one of the most active areas in operations research and management science (OR/MS). It presents not only the significant advances achieved to date, but also the new opportunities and challenges arising for both the theory and practice of MCDA. Among many others, the book addresses behavioral and conceptual aspects of decision aiding and decision making, problem structuring issues in the framework of new technological and socio-economic advances, methodological and algorithmic advances for analytical modeling and decision aiding, as well as a number of new application areas in engineering, business, and the social sciences.

Author : Vicenç Torra
Publisher : Springer
ISBN 13 : 3319456563
Total Pages : 314 pages
Book Rating : 4.60/5 ( download)

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Download or read book Modeling Decisions for Artificial Intelligence written by Vicenç Torra and published by Springer. This book was released on 2016-09-12 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 13th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2016, held in Sant Julià de Lòria, Andorra, in September 2016. The 22 revised full papers presented together with three invited talks were carefully reviewed and selected from 36 submissions. Providing a forum for researchers to discuss models for decision and information fusion (aggregation operators) and their applications to AI, the papers address topics such as decision making, information fusion, social networks, data mining, and related subjects. Applications to data science and privacy technologies, as well as to real world problems are also discussed.