Discrete Fuzzy Measures PDF Download
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Author | : Gleb Beliakov |
Publisher | : Springer |
Total Pages | : 245 |
Release | : 2019-03-19 |
Genre | : Technology & Engineering |
ISBN | : 3030153053 |
Download Discrete Fuzzy Measures Book in PDF, ePub and Kindle
This book addresses computer scientists, IT specialists, mathematicians, knowledge engineers and programmers, who are engaged in research and practice of multicriteria decision making. Fuzzy measures, also known as capacities, allow one to combine degrees of preferences, support or fuzzy memberships into one representative value, taking into account interactions between the inputs. The notions of mutual reinforcement or redundancy are modeled explicitly through coefficients of fuzzy measures, and fuzzy integrals, such as the Choquet and Sugeno integrals combine the inputs. Building on previous monographs published by the authors and dealing with different aspects of aggregation, this book especially focuses on the Choquet and Sugeno integrals. It presents a number of new findings concerning computation of fuzzy measures, learning them from data and modeling interactions. The book does not require substantial mathematical background, as all the relevant notions are explained. It is intended as concise, timely and self-contained guide to the use of fuzzy measures in the field of multicriteria decision making.
Author | : Adrian I. Ban |
Publisher | : Nova Publishers |
Total Pages | : 280 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9781594549113 |
Download Intuitionistic Fuzzy Measures Book in PDF, ePub and Kindle
This book is the outcome of about eight years of work performed by the author largely in the field of intuitionistic fuzzy set theory and more in depth on intuitionistic fuzzy measures presented from a point of view characteristic for pure mathematics. The purpose of the book is to present a continuation of studies conducted focusing mainly on measures that evaluate intuitionistic fuzzy sets by real values and crisp sets by intuitionistic fuzzy values.
Author | : Zhenyuan Wang |
Publisher | : Springer Science & Business Media |
Total Pages | : 352 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475753039 |
Download Fuzzy Measure Theory Book in PDF, ePub and Kindle
Providing the first comprehensive treatment of the subject, this groundbreaking work is solidly founded on a decade of concentrated research, some of which is published here for the first time, as well as practical, ''hands on'' classroom experience. The clarity of presentation and abundance of examples and exercises make it suitable as a graduate level text in mathematics, decision making, artificial intelligence, and engineering courses.
Author | : Michel Grabisch |
Publisher | : Physica |
Total Pages | : 504 |
Release | : 2000-01-24 |
Genre | : Business & Economics |
ISBN | : |
Download Fuzzy Measures and Integrals Book in PDF, ePub and Kindle
Concepts similar to fuzzy measure have been introduced independently in many domains: in non-expected utility theory, cooperative game theory, complexity analysis, measure theory, etc. This book reflects all these facets. It gathers survey papers written by leading researchers in the field, covering a selection of most significant topics. The first part is devoted to fundamental and theoretical material, while the second part deals with more applied topics such as decision making and pattern recognition. The book is of interest to researchers in decision making, artificial intelligence, applied mathematics, mathematical social sciences, etc.
Author | : Zhenyuan Wang |
Publisher | : |
Total Pages | : 368 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9781475753042 |
Download Fuzzy Measure Theory Book in PDF, ePub and Kindle
Author | : Matsumoto Gen |
Publisher | : World Scientific |
Total Pages | : 1064 |
Release | : 1996-08-31 |
Genre | : |
ISBN | : 9814740780 |
Download Methodologies For The Conception, Design, And Application Of Intelligent Systems - Proceedings Of The 4th International Conference On Soft Computing (In 2 Volumes) Book in PDF, ePub and Kindle
IIZUKA '96, the 4th International Conference on Soft Computing, emphasized the integration of the components of soft computing to promote the research work on post-digital computers and to realize the intelligent systems. At the conference, new developments and results in soft computing were introduced and discussed by researchers from academic, governmental, and industrial institutions.This volume presents the opening lectures by Prof. Lotfi A. Zadeh and Prof. Walter J. Freeman, the plenary lectures by seven eminent researchers, and about 200 carefully selected papers drawn from more than 20 countries. It documents current research and in-depth studies on the conception, design, and application of intelligent systems.
Author | : |
Publisher | : Arihant Publications India limited |
Total Pages | : 1199 |
Release | : |
Genre | : |
ISBN | : 9326194965 |
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Author | : Vicenc Torra |
Publisher | : Springer |
Total Pages | : 207 |
Release | : 2013-10-23 |
Genre | : Technology & Engineering |
ISBN | : 3319031554 |
Download Non-Additive Measures Book in PDF, ePub and Kindle
This book provides a comprehensive and timely report in the area of non-additive measures and integrals. It is based on a panel session on fuzzy measures, fuzzy integrals and aggregation operators held during the 9th International Conference on Modeling Decisions for Artificial Intelligence (MDAI 2012) in Girona, Spain, November 21-23, 2012. The book complements the MDAI 2012 proceedings book, published in Lecture Notes in Computer Science (LNCS) in 2012. The individual chapters, written by key researchers in the field, cover fundamental concepts and important definitions (e.g. the Sugeno integral, definition of entropy for non-additive measures) as well some important applications (e.g. to economics and game theory) of non-additive measures and integrals. The book addresses students, researchers and practitioners working at the forefront of their field.
Author | : Vicenç Torra |
Publisher | : Springer Science & Business Media |
Total Pages | : 284 |
Release | : 2007-05-11 |
Genre | : Computers |
ISBN | : 3540687912 |
Download Modeling Decisions Book in PDF, ePub and Kindle
This book covers the underlying science and application issues related to aggregation operators, focusing on tools used in practical applications that involve numerical information. It will thus be required reading for engineers, statisticians and computer scientists of all kinds. Starting with detailed introductions to information fusion and integration, measurement and probability theory, fuzzy sets, and functional equations, the authors then cover numerous topics in detail, including the synthesis of judgements, fuzzy measures, weighted means and fuzzy integrals.
Author | : Gleb Beliakov |
Publisher | : Springer |
Total Pages | : 365 |
Release | : 2015-10-15 |
Genre | : Technology & Engineering |
ISBN | : 3319247530 |
Download A Practical Guide to Averaging Functions Book in PDF, ePub and Kindle
This book offers an easy-to-use and practice-oriented reference guide to mathematical averages. It presents different ways of aggregating input values given on a numerical scale, and of choosing and/or constructing aggregating functions for specific applications. Building on a previous monograph by Beliakov et al. published by Springer in 2007, it outlines new aggregation methods developed in the interim, with a special focus on the topic of averaging aggregation functions. It examines recent advances in the field, such as aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends many of the already existing methods, such as: ordered weighted averaging (OWA), fuzzy integrals and mixture functions. A substantial mathematical background is not called for, as all the relevant mathematical notions are explained here and reported on together with a wealth of graphical illustrations of distinct families of aggregation functions. The authors mainly focus on practical applications and give central importance to the conciseness of exposition, as well as the relevance and applicability of the reported methods, offering a valuable resource for computer scientists, IT specialists, mathematicians, system architects, knowledge engineers and programmers, as well as for anyone facing the issue of how to combine various inputs into a single output value.