Triangular Norm Based Measures And Games With Fuzzy Coalitions

Author : D. Butnariu,Erich Peter Klement
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 55,9 Mb
Release : 2013-03-09
Category : Business & Economics
ISBN : 9789401736022

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Triangular Norm-Based Measures and Games with Fuzzy Coalitions by D. Butnariu,Erich Peter Klement Pdf

This book aims to present, in a unified approach, a series of mathematical results con cerning triangular norm-based measures and a class of cooperative games with Juzzy coalitions. Our approach intends to emphasize that triangular norm-based measures are powerful tools in exploring the coalitional behaviour in 'such games. They not and simplify some technical aspects of the already classical axiomatic the only unify ory of Aumann-Shapley values, but also provide new perspectives and insights into these results. Moreover, this machinery allows us to obtain, in the game theoretical context, new and heuristically meaningful information, which has a significant impact on balancedness and equilibria analysis in a cooperative environment. From a formal point of view, triangular norm-based measures are valuations on subsets of a unit cube [0, 1]X which preserve dual binary operations induced by trian gular norms on the unit interval [0, 1]. Triangular norms (and their dual conorms) are algebraic operations on [0,1] which were suggested by MENGER [1942] and which proved to be useful in the theory of probabilistic metric spaces (see also [WALD 1943]). The idea of a triangular norm-based measure was implicitly used under various names: vector integrals [DVORETZKY, WALD & WOLFOWITZ 1951], prob abilities oj Juzzy events [ZADEH 1968], and measures on ideal sets [AUMANN & SHAPLEY 1974, p. 152].

Author : D. Butnariu,Erich Peter Klement
Publisher : Unknown
Page : 212 pages
File Size : 51,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 9401736030

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Triangular Norm-Based Measures and Games with Fuzzy Coalitions by D. Butnariu,Erich Peter Klement Pdf

Author : Erich Peter Klement,R. Mesiar,E. Pap
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 46,6 Mb
Release : 2013-04-17
Category : Philosophy
ISBN : 9789401595407

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Triangular Norms by Erich Peter Klement,R. Mesiar,E. Pap Pdf

This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers.

Author : Endre Pap
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 43,7 Mb
Release : 2012-10-20
Category : Technology & Engineering
ISBN : 9783642339592

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Intelligent Systems: Models and Applications by Endre Pap Pdf

The theory and applications of intelligent systems is today an important field of research. This book is an up-to-date collection of seventeen chapters, written by recognized experts in the field. In an introductory mathematical foundations part an overview of generalizations of the integral inequalities for nonadditive integrals and a construction of the General Prioritized Fuzzy Satisfaction Problem is given. Then different aspects of robotics are presented, such as the differences between human beings and robots, the motion of bipedal humanoid robots, and an evaluation of different autonomous quadrotor flight controllers. Also Fuzzy Systems are presented by a model of basic planar imprecise geometric objects allowing various applications in image analysis , GIS, and robotics, as well as a type-2 fuzzy logic in a software library for developing perceptual computers, and a two--degree--of--freedom speed control solutions for a brushless Direct Current motor. The book also presents recent applications in medicine such as a Virtual Doctor System, methods for a face to face human machine interaction, and an emotion estimation, with applications for multiple diseases and the effect of the applied therapy. The last part of the book covers different applications in transportation, network monitoring, and localization of pedestrians in images.

Author : Deng-Feng Li,Xiao-Guang Yang,Marc Uetz,Gen-Jiu Xu
Publisher : Springer
Page : 378 pages
File Size : 41,5 Mb
Release : 2017-10-13
Category : Computers
ISBN : 9789811067532

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Game Theory and Applications by Deng-Feng Li,Xiao-Guang Yang,Marc Uetz,Gen-Jiu Xu Pdf

This volume constitutes the refereed post-conference proceedings of the 3rd Joint China-Dutch Workshop on Game Theory and Applications and the 7th China Meeting on Game Theory and Applications, GTA 2016, held in Fuzhou, China, in November 2016. The 25 revised full papers presented were carefully reviewed and selected from 60 full paper submissions. They deal with a broad range of topics in the areas of non-cooperative and cooperative games, non-cooperative and cooperative games under uncertainty and their applications.

Author : Andrés Jiménez-Losada
Publisher : Springer
Page : 260 pages
File Size : 49,7 Mb
Release : 2017-04-11
Category : Technology & Engineering
ISBN : 9783319564722

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Models for Cooperative Games with Fuzzy Relations among the Agents by Andrés Jiménez-Losada Pdf

This book offers a comprehensive introduction to cooperative game theory and a practice-oriented reference guide to new models and tools for studying bilateral fuzzy relations among several agents or players. It introduces the reader to several fuzzy models, each of which is first analyzed in the context of classical games (crisp games) and subsequently in the context of fuzzy games. Special emphasis is given to the value of Shapley, which is presented for the first time in the context of fuzzy games. Students and researchers will find here a self-contained reference guide to cooperative fuzzy games, characterized by a wealth of examples, descriptions of a wide range of possible situations, step-by-step explanations of the basic mathematical concepts involved, and easy-to-follow information on axioms and properties.

Author : E. Pap
Publisher : Elsevier
Page : 1632 pages
File Size : 40,6 Mb
Release : 2002-10-31
Category : Mathematics
ISBN : 0080533094

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Handbook of Measure Theory by E. Pap Pdf

The main goal of this Handbook is to survey measure theory with its many different branches and its relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications which support the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the various areas they contain many special topics and challenging problems valuable for experts and rich sources of inspiration. Mathematicians from other areas as well as physicists, computer scientists, engineers and econometrists will find useful results and powerful methods for their research. The reader may find in the Handbook many close relations to other mathematical areas: real analysis, probability theory, statistics, ergodic theory, functional analysis, potential theory, topology, set theory, geometry, differential equations, optimization, variational analysis, decision making and others. The Handbook is a rich source of relevant references to articles, books and lecture notes and it contains for the reader's convenience an extensive subject and author index.

Author : Radim Belohlavek,Joseph W. Dauben,George J. Klir
Publisher : Oxford University Press
Page : 480 pages
File Size : 50,8 Mb
Release : 2017-05-03
Category : Philosophy
ISBN : 9780190200022

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Fuzzy Logic and Mathematics by Radim Belohlavek,Joseph W. Dauben,George J. Klir Pdf

The term "fuzzy logic," as it is understood in this book, stands for all aspects of representing and manipulating knowledge based on the rejection of the most fundamental principle of classical logic---the principle of bivalence. According to this principle, each declarative sentence is required to be either true or false. In fuzzy logic, these classical truth values are not abandoned. However, additional, intermediate truth values between true and false are allowed, which are interpreted as degrees of truth. This opens a new way of thinking---thinking in terms of degrees rather than absolutes. For example, it leads to the definition of a new kind of sets, referred to as fuzzy sets, in which membership is a matter of degree. The book examines the genesis and development of fuzzy logic. It surveys the prehistory of fuzzy logic and inspects circumstances that eventually lead to the emergence of fuzzy logic. The book explores in detail the development of propositional, predicate, and other calculi that admit degrees of truth, which are known as fuzzy logic in the narrow sense. Fuzzy logic in the broad sense, whose primary aim is to utilize degrees of truth for emulating common-sense human reasoning in natural language, is scrutinized as well. The book also examines principles for developing mathematics based on fuzzy logic and provides overviews of areas in which this has been done most effectively. It also presents a detailed survey of established and prospective applications of fuzzy logic in various areas of human affairs, and provides an assessment of the significance of fuzzy logic as a new paradigm.

Author : Guilherme A. Barreto,Ricardo Coelho
Publisher : Springer
Page : 616 pages
File Size : 52,7 Mb
Release : 2018-07-03
Category : Computers
ISBN : 9783319953120

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Fuzzy Information Processing by Guilherme A. Barreto,Ricardo Coelho Pdf

This book constitutes the thoroughly refereed proceedings of the 37th IFSA Conference, NAFIPS 2018, held in Fortaleza, Brazil, in July 2018. The 55 full papers presented were carefully reviewed and selected from 73 submissions. The papers deal with a large spectrum of topics, including theory and applications of fuzzy numbers and sets, fuzzy logic, fuzzy inference systems, fuzzy clustering, fuzzy pattern classification, neuro-fuzzy systems, fuzzy control systems, fuzzy modeling, fuzzy mathematical morphology, fuzzy dynamical systems, time series forecasting, and making decision under uncertainty.

Author : Adrian I. Ban
Publisher : Nova Publishers
Page : 280 pages
File Size : 54,9 Mb
Release : 2006
Category : Mathematics
ISBN : 1594549117

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Intuitionistic Fuzzy Measures by Adrian I. Ban Pdf

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 : Weldon A. Lodwick,JANUSZ KACPRZYK
Publisher : Springer
Page : 530 pages
File Size : 46,8 Mb
Release : 2010-07-23
Category : Technology & Engineering
ISBN : 9783642139352

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Fuzzy Optimization by Weldon A. Lodwick,JANUSZ KACPRZYK Pdf

Optimization is an extremely important area in science and technology which provides powerful and useful tools and techniques for the formulation and solution of a multitude of problems in which we wish, or need, to to find a best possible option or solution. The volume is divided into a coupe of parts which present various aspects of fuzzy optimization, some related more general issues, and applications.

Author : Susanne Saminger-Platz,Radko Mesiar
Publisher : Springer
Page : 275 pages
File Size : 43,7 Mb
Release : 2016-01-11
Category : Technology & Engineering
ISBN : 9783319288086

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On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory by Susanne Saminger-Platz,Radko Mesiar Pdf

The book is a collection of contributions by leading experts, developed around traditional themes discussed at the annual Linz Seminars on Fuzzy Set Theory. The different chapters have been written by former PhD students, colleagues, co-authors and friends of Peter Klement, a leading researcher and the organizer of the Linz Seminars on Fuzzy Set Theory. The book also includes advanced findings on topics inspired by Klement’s research activities, concerning copulas, measures and integrals, as well as aggregation problems. Some of the chapters reflect personal views and controversial aspects of traditional topics, while others deal with deep mathematical theories, such as the algebraic and logical foundations of fuzzy set theory and fuzzy logic. Originally thought as an homage to Peter Klement, the book also represents an advanced reference guide to the mathematical theories related to fuzzy logic and fuzzy set theory with the potential to stimulate important discussions on new research directions in the field.

Author : Harrie de Swart,Ewa Orlowska,Gunther Schmidt,Marc Roubens
Publisher : Springer
Page : 373 pages
File Size : 53,5 Mb
Release : 2007-01-23
Category : Computers
ISBN : 9783540692249

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Theory and Applications of Relational Structures as Knowledge Instruments II by Harrie de Swart,Ewa Orlowska,Gunther Schmidt,Marc Roubens Pdf

This book constitutes the major results of the EU COST (European Cooperation in the field of Scientific and Technical Research) Action 274: TARSKI - Theory and Applications of Relational Structures as Knowledge Instruments - running from July 2002 to June 2005. The papers are devoted to further understanding of interdisciplinary issues involving relational reasoning by addressing relational structures and the use of relational methods in applicable object domains.

Author : Rodica Branzei,Dinko Dimitrov,Stef Tijs
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 42,5 Mb
Release : 2008-03-08
Category : Business & Economics
ISBN : 9783540779544

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Models in Cooperative Game Theory by Rodica Branzei,Dinko Dimitrov,Stef Tijs Pdf

Cooperative game theory is a booming research area with many new developments in the last few years. So, our main purpose when prep- ing the second edition was to incorporate as much of these new dev- opments as possible without changing the structure of the book. First, this o?ered us the opportunity to enhance and expand the treatment of traditional cooperative games, called here crisp games, and, especially, that of multi-choice games, in the idea to make the three parts of the monograph more balanced. Second, we have used the opportunity of a secondeditiontoupdateandenlargethelistofreferencesregardingthe threemodels of cooperative games. Finally, we have bene?ted fromthis opportunity by removing typos and a few less important results from the ?rst edition of the book, and by slightly polishing the English style and the punctuation, for the sake of consistency along the monograph. The main changes are: (1) Chapter 3 contains an additional section, Section 3. 3, on the - erage lexicographic value, which is a recent one-point solution concept de?ned on the class of balanced crisp games. (2) Chapter 4 is new. It o?ers a brief overview on solution c- cepts for crisp games from the point of view of egalitarian criteria, and presents in Section 4. 2 a recent set-valued solution concept based on egalitarian considerations, namely the equal split-o? set. (3)Chapter5isbasicallyanenlargedversionofChapter4ofthe?rst edition because Section 5. 4 dealing with the relation between convex games and clan games with crisp coalitions is new.

Author : Erich Peter Klement,Radko Mesiar
Publisher : Elsevier
Page : 491 pages
File Size : 49,8 Mb
Release : 2005-03-25
Category : Mathematics
ISBN : 9780080459530

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Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms by Erich Peter Klement,Radko Mesiar Pdf

This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory, probability theory, and probabilistic metric spaces. Key Features: - Complete state of the art of the importance of triangular norms in various mathematical fields - 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications - Chapter authors are leading authorities in their fields - Triangular norms on different domains (including discrete, partially ordered) are described - Not only triangular norms but also related operators (aggregation operators, copulas) are covered - Book contains many enlightening illustrations · Complete state of the art of the importance of triangular norms in various mathematical fields · 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications · Chapter authors are leading authorities in their fields · Triangular norms on different domains (including discrete, partially ordered) are described · Not only triangular norms but also related operators (aggregation operators, copulas) are covered · Book contains many enlightening illustrations