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Triangular Norm Based Measures And Games With Fuzzy Coalitions
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Book Synopsis Triangular Norm-Based Measures and Games with Fuzzy Coalitions by : D. Butnariu
Download or read book Triangular Norm-Based Measures and Games with Fuzzy Coalitions written by D. Butnariu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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].
Book Synopsis Triangular Norm-Based Measures and Games with Fuzzy Coalitions by : D. Butnariu
Download or read book Triangular Norm-Based Measures and Games with Fuzzy Coalitions written by D. Butnariu and published by . This book was released on 2014-01-15 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fuzzy Logic and Mathematics by : Radim Belohlavek
Download or read book Fuzzy Logic and Mathematics written by Radim Belohlavek and published by Oxford University Press. This book was released on 2017-05-03 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Game Theory and Applications by : Deng-Feng Li
Download or read book Game Theory and Applications written by Deng-Feng Li and published by Springer. This book was released on 2017-10-13 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fuzzy Information Processing by : Guilherme A. Barreto
Download or read book Fuzzy Information Processing written by Guilherme A. Barreto and published by Springer. This book was released on 2018-07-03 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Intuitionistic Fuzzy Measures by : Adrian I. Ban
Download or read book Intuitionistic Fuzzy Measures written by Adrian I. Ban and published by Nova Publishers. This book was released on 2006 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Defects of Properties in Mathematics by : Adrian I. Ban
Download or read book Defects of Properties in Mathematics written by Adrian I. Ban and published by World Scientific. This book was released on 2002 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces a method of research which can be used in various fields of mathematics.
Book Synopsis Fuzzy Optimization by : Weldon A. Lodwick
Download or read book Fuzzy Optimization written by Weldon A. Lodwick and published by Springer. This book was released on 2010-07-23 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory by : Susanne Saminger-Platz
Download or read book On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory written by Susanne Saminger-Platz and published by Springer. This book was released on 2016-01-11 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computing with Words in Information/Intelligent Systems 1 by : Lotfi A. Zadeh
Download or read book Computing with Words in Information/Intelligent Systems 1 written by Lotfi A. Zadeh and published by Springer Science & Business Media. This book was released on 1999-07-16 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes consIstmg of Foundations and Applications provide the current status of theoretical and empirical developments in "computing with words". In philosophy, the twentieth century is said to be the century of language. This is mainly due to Wittgenstein who said: "The meaning of a word is its use in the language game". "The concept game is a concept with blurred edges". In the first phrase, "the language game" implies the everyday human activity with language, and in the latter, "game" simply implies an ordinary word. Thus, Wittgenstein precisely stated that a word is fuzzy in real life. Unfortunately this idea about a word was not accepted in the conventional science. We had to wait for Zadeh's fuzzy sets theory. Remembering Wittgenstein's statement, we should consider, on the one hand, the concept of "computing with words" from a philosophical point of view. It deeply relates to the everyday use of a word in which the meaning of a word is fuzzy in its nature.
Book Synopsis Theory and Applications of Relational Structures as Knowledge Instruments II by : Harrie de Swart
Download or read book Theory and Applications of Relational Structures as Knowledge Instruments II written by Harrie de Swart and published by Springer. This book was released on 2007-01-23 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Models in Cooperative Game Theory by : Rodica Branzei
Download or read book Models in Cooperative Game Theory written by Rodica Branzei and published by Springer Science & Business Media. This book was released on 2008-03-08 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms by : Erich Peter Klement
Download or read book Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms written by Erich Peter Klement and published by Elsevier. This book was released on 2005-03-25 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Computational Intelligence in Theory and Practice by : Bernd Reusch
Download or read book Computational Intelligence in Theory and Practice written by Bernd Reusch and published by Springer Science & Business Media. This book was released on 2001-01-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Intelligence with its roots in Fuzzy Logic, Neural Networks and Evolutionary Algorithms has become an important research and application field in computer science in the last decade. Methodologies from these areas and combinations of them enable users from engineering, business, medicine and many more branches to capture and process vague, incomplete, uncertain and imprecise data and knowledge. Many algorithms and tools have been developed to solve problems in the realms of high and low level control, information processing, diagnostics, decision support, classification, optimisation and many more. This book tries to show the impact and feedback between theory and applications of Computational Intelligence, highlighted on selected examples.
Author :Humberto Bustince Sola Publisher :Springer Science & Business Media ISBN 13 :3642391656 Total Pages :535 pages Book Rating :4.6/5 (423 download)
Book Synopsis Aggregation Functions in Theory and in Practise by : Humberto Bustince Sola
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.
Book Synopsis Perception-based Data Mining and Decision Making in Economics and Finance by : Ildar Batyrshin
Download or read book Perception-based Data Mining and Decision Making in Economics and Finance written by Ildar Batyrshin and published by Springer. This book was released on 2007-04-05 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this book is to present to the scientific and management communities a selection of applications using more recent Soft Computing (SC) and Computing with Words and Perceptions (CWP) models and techniques meant to solve the economics and financial problems. The selected examples could also serve as a starting point or as an opening out, in the SC and CWP techniques application to a wider range of problems in economics and finance. Decision making in the present world is becoming more and more sophisticated, time consuming and difficult for human beings who require more and more computational support. This book addresses the significant increase on research and applications of Soft Computing and Computing with Words and Perceptions for decision making in Economics and Finance in recent years. Decision making is heavily based on information and knowledge usually extracted from the analysis of large amounts of data. Data mining techniques enabled with the capability to integrate human experience could be used for a more realistic business decision support. Computing with Words and Perceptions introduced by Lotfi Zadeh, can serve as a basis for such extension of traditional data mining and decision making systems. Fuzzy logic as a main constituent of CWP gives powerful tools for modeling and processing linguistic information defined on numerical domain.
Book Synopsis Fuzzy Sets, Logics and Reasoning about Knowledge by : Didier Dubois
Download or read book Fuzzy Sets, Logics and Reasoning about Knowledge written by Didier Dubois and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning. It takes a state-of-the-art look at multiple-valued and fuzzy set-based logics, in an artificial intelligence perspective. The papers, all of which are written by leading contributors in their respective fields, are grouped into four sections. The first section presents a panorama of many-valued logics in connection with fuzzy sets. The second explores algebraic foundations, with an emphasis on MV algebras. The third is devoted to approximate reasoning methods and similarity-based reasoning. The fourth explores connections between fuzzy knowledge representation, especially possibilistic logic and prioritized knowledge bases. Readership: Scholars and graduate students in logic, algebra, knowledge representation, and formal aspects of artificial intelligence.
