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Indistinguishability Operators
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Book Synopsis Indistinguishability Operators by : Jordi Recasens
Download or read book Indistinguishability Operators written by Jordi Recasens and published by Springer Science & Business Media. This book was released on 2010-09-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of equivalence relation and crisp equality. This book collects all the main aspects of these operators in a single volume for the first time. The stress is put on the study of their structure and the monograph starts presenting the different ways in which indistinguishability operators can be generated and represented. Special attention is paid to the Representation Theorem and the Sup-T product. Extensionality of fuzzy subsets is studied in detail and is related to their observability and to the granularity. The metric behaviour of indistinguishability operators and their connection with cluster analysis and hierarchical trees is established. Different ways to aggregate such operators are given as well as a number of methods to obtain transitive approximations of a fuzzy relation. Applications to approximate reasoning and to the study of fuzzy subgroups are also provided. The book ends with a chapter on finite-valued indistinguishability operators.
Book Synopsis New Trends in Fuzzy Set Theory and Related Items by : Esteban Indurain
Download or read book New Trends in Fuzzy Set Theory and Related Items written by Esteban Indurain and published by MDPI. This book was released on 2018-09-04 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "New Trends in Fuzzy Set Theory and Related Items" that was published in Axioms
Book Synopsis Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations by : Jesús Medina
Download or read book Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations written by Jesús Medina and published by Springer. This book was released on 2018-05-30 with total page 835 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three volume set (CCIS 853-855) constitutes the proceedings of the 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2017, held in Cádiz, Spain, in June 2018. The 193 revised full papers were carefully reviewed and selected from 383 submissions. The papers are organized in topical sections on advances on explainable artificial intelligence; aggregation operators, fuzzy metrics and applications; belief function theory and its applications; current techniques to model, process and describe time series; discrete models and computational intelligence; formal concept analysis and uncertainty; fuzzy implication functions; fuzzy logic and artificial intelligence problems; fuzzy mathematical analysis and applications; fuzzy methods in data mining and knowledge discovery; fuzzy transforms: theory and applications to data analysis and image processing; imprecise probabilities: foundations and applications; mathematical fuzzy logic, mathematical morphology; measures of comparison and entropies for fuzzy sets and their extensions; new trends in data aggregation; pre-aggregation functions and generalized forms of monotonicity; rough and fuzzy similarity modelling tools; soft computing for decision making in uncertainty; soft computing in information retrieval and sentiment analysis; tri-partitions and uncertainty; decision making modeling and applications; logical methods in mining knowledge from big data; metaheuristics and machine learning; optimization models for modern analytics; uncertainty in medicine; uncertainty in Video/Image Processing (UVIP).
Book Synopsis Advances in Computational Intelligence, Part III by : Salvatore Greco
Download or read book Advances in Computational Intelligence, Part III written by Salvatore Greco and published by Springer. This book was released on 2012-07-20 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: These four volumes (CCIS 297, 298, 299, 300) constitute the proceedings of the 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, held in Catania, Italy, in July 2012. The 258 revised full papers presented together with six invited talks were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on fuzzy machine learning and on-line modeling; computing with words and decision making; soft computing in computer vision; rough sets and complex data analysis: theory and applications; intelligent databases and information system; information fusion systems; philosophical and methodological aspects of soft computing; basic issues in rough sets; 40th anniversary of the measures of fuziness; SPS11 uncertainty in profiling systems and applications; handling uncertainty with copulas; formal methods to deal with uncertainty of many-valued events; linguistic summarization and description of data; fuzzy implications: theory and applications; sensing and data mining for teaching and learning; theory and applications of intuitionistic fuzzy sets; approximate aspects of data mining and database analytics; fuzzy numbers and their applications; information processing and management of uncertainty in knowledge-based systems; aggregation functions; imprecise probabilities; probabilistic graphical models with imprecision: theory and applications; belief function theory: basics and/or applications; fuzzy uncertainty in economics and business; new trends in De Finetti's approach; fuzzy measures and integrals; multicriteria decision making; uncertainty in privacy and security; uncertainty in the spirit of Pietro Benvenuti; coopetition; game theory; probabilistic approach.
Book Synopsis Computational Intelligence for Knowledge-Based System Design by : Eyke Hüllermeier
Download or read book Computational Intelligence for Knowledge-Based System Design written by Eyke Hüllermeier and published by Springer Science & Business Media. This book was released on 2010-06-17 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book constitutes the refereed proceedings of the 13th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2010, held in Dortmund, Germany from June 28 - July 2, 2010. The 77 revised full papers were carefully reviewed and selected from 320 submissions and reflect the richness of research in the field of Computational Intelligence and represent developments on topics as: machine learning, data mining, pattern recognition, uncertainty handling, aggregation and fusion of information as well as logic and knowledge processing.
Book Synopsis Aspects of Vagueness by : Heinz J. Skala
Download or read book Aspects of Vagueness written by Heinz J. Skala and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second World Conference on Mathematics at the Service of Man was held at the Universidad Politecnica de Las Palmas, Canary Islands, Spain, June 28 to July 3, 1982. The first volume of the Proceedings of the Conference, entitled "Functional Equations-Theory and Applications" has appeared in the Reidel series "Mathematics and Its Applications". The papers in this volume consist of the invited lectures delivered at the Conference, Section 7: Non-Classical Logics and Modelling, as well as some selected papers which offer an introduction to the philosophy, methodology and to the lite rature of the broad and fascinating field of vagueness, imprecision and uncertainty. The contributed papers appeared in the volume of photo-offset preprints distributed at the Conference. It is our hope that the papers present a good sample with respect to the background, the formalism and practice of this area of research as far as we understand it today. As the subject "Vagueness" touches many aspects of human thinking, the contributions have been made from a broad spectrum ranging from philo~ophy through pure mathematics to probability theory and mathematical economics, therefore the careful reader should find some new insights here. In conclusion, the editors want to thank all authors who have contributed to this volume; the publishers of "Commenta tiones Mathematicae Universitatis Carolinae" for permission to reprint the paper "Fuzziness and Fuzzy Equality", Commentationes Mathematicae Universitatis Carolinae 23 (1982), 249-267, and D. Reidel for friendly cooperation.
Download or read book Finite Automata written by A. de Vries and published by Elsevier. This book was released on 2014-06-28 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dictionary supplies associations which have been evoked by certain words, signs, etc. in Western civilization in the past, and which may float to the surface again tomorrow; for however 'daringly new' a modern use of imagery may look, it generally appears to have roots in what has been said and done in the past. No fine distinctions have been made between symbols (in the limited sense), allegories, metaphors, signs, types, images, etc. (not to mention 'ascending' and 'descending' symbols), since such subtle distinctions, however sensible from a scientific point of view, are useless to a person struggling with the deeper comprehension (and thus appreciation) of a particular 'symbol'.
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.
Book Synopsis Aggregation Functions in Theory and in Practice by : Vicenç Torra
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 288 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).
Book Synopsis Fuzzy Logic And Soft Computing by : Bernadette Bouchon-meunier
Download or read book Fuzzy Logic And Soft Computing written by Bernadette Bouchon-meunier and published by World Scientific. This book was released on 1995-09-15 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soft computing is a new, emerging discipline rooted in a group of technologies that aim to exploit the tolerance for imprecision and uncertainty in achieving solutions to complex problems. The principal components of soft computing are fuzzy logic, neurocomputing, genetic algorithms and probabilistic reasoning.This volume is a collection of up-to-date articles giving a snapshot of the current state of the field. It covers the whole expanse, from theoretical foundations to applications. The contributors are among the world leaders in the field.
Book Synopsis Technologies for Constructing Intelligent Systems 2 by : Bernadette Bouchon-Meunier
Download or read book Technologies for Constructing Intelligent Systems 2 written by Bernadette Bouchon-Meunier and published by Physica. This book was released on 2013-03-20 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intelligent systems enhance the capacities made available by the internet and other computer-based technologies. This book is devoted to various aspects of the management of intelligent systems. Particular attention is paid to situations in which the available information and data may be imprecise, uncertain, incomplete or of linguistic nature. Various methods developed to manage such information are discussed in the context of several domains of application. Topics included in the book include preference modelling and decision making, learning, clustering and data mining, information retrieval. The paradigm of computing with words is also addressed.
Book Synopsis On the Structure of F-indistinguishability Operators by : University of California, Berkeley. Computer Science Division
Download or read book On the Structure of F-indistinguishability Operators written by University of California, Berkeley. Computer Science Division and published by . This book was released on 1984 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some properties concerning the structure of the F-Indistinguishability operators are analyzed. It is shown that any of such operators is generated by a family of fuzzy subsets. The result, since it gives the way to construct F- Indistinguishabilities, facilitates new applications of fuzzy subsets. This result, since it gives the way to construct F-Indist- inguishabilities, facilitates new applications of fuzzy relations. The links between F-Indistinguishability operators and a kind of generalized metrics in the unit interval -which are also explored- are used to define the canonical generators of a F-Indistinguishability operator that is, the fuzzy partition associated with the operator.
Book Synopsis Associative Functions by : Claudi Alsina
Download or read book Associative Functions written by Claudi Alsina and published by World Scientific. This book was released on 2006 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The functional equation of associativity is the topic of Abel's first contribution to Crelle's Journal. Seventy years later, it was featured as the second part of Hilbert's Fifth Problem, and it was solved under successively weaker hypotheses by Brouwer (1909), Cartan (1930) and Aczel (1949). In 1958, B Schweizer and A Sklar showed that the ?triangular norms? introduced by Menger in his definition of a probabilistic metric space should be associative; and in their book Probabilistic Metric Spaces, they presented the basic properties of such triangular norms and the closely related copulas. Since then, the study of these two classes of functions has been evolving at an ever-increasing pace and the results have been applied in fields such as statistics, information theory, fuzzy set theory, multi-valued and quantum logic, hydrology, and economics, in particular, risk analysis.This book presents the foundations of the subject of associative functions on real intervals. It brings together results that have been widely scattered in the literature and adds much new material. In the process, virtually all the standard techniques for solving functional equations in one and several variables come into play. Thus, the book can serve as an advanced undergraduate or graduate text on functional equations.
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 Reasoning and Language at Work by : Enric Trillas
Download or read book Reasoning and Language at Work written by Enric Trillas and published by Springer Nature. This book was released on 2022-02-14 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book furthers the historical and technical debate by looking at reasoning as the action of language when it is devoted to explaining or foretelling, based on the authors’ centennial combined experience in fuzzy logic. A simple logical model mixing abductions and deductions is introduced in order to attain speculations, conjectures that may be responsible for induction, and creativity in reasoning. A central point and a dire hypothesis of the book are that such process can be implemented by computation and as such can lead to a new approach to automatic thinking and reasoning. On top of the technical approach, the relationship between reasoning and thinking is also analyzed trying to establish links with notions and concepts of thinkers from the European Middle Age to the current days. This book is recommended to young researchers that are interested in either the scientific or philosophical aspects of computational thinking, and can further the debate between the two approaches.
Book Synopsis Artificial Intelligence Research and Development by : E. Armengol
Download or read book Artificial Intelligence Research and Development written by E. Armengol and published by IOS Press. This book was released on 2015-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since it was formed in 1994, the Catalan Association for Artificial Intelligence (ACIA) has been promoting cooperation between researchers in artificial intelligence within the Catalan speaking community. The association now holds an annual conference in the Catalan region, which aims to foster discussion of the latest developments in artificial intelligence within the community of Catalan countries, as well as amongst members of the wider AI community. This book presents the proceedings of the 18th International Conference (CCIA 2015), held in Valencia, Spain, in October 2015. It contains full versions of the peer reviewed papers presented at the conference, as well as shorter poster contributions. In addition to this year’s dominant research trends of classification, decision support systems and data mining, many other topics are covered, ranging from theoretical aspects to descriptions of real applications. This overview of current work in the Catalan artificial intelligence community and of the collaboration between ACIA members and the AI community worldwide will be of interest to all those working in the field of artificial intelligence.
Book Synopsis Handbook of Management under Uncertainty by : Jaime Gil-Aluja
Download or read book Handbook of Management under Uncertainty written by Jaime Gil-Aluja and published by Springer Science & Business Media. This book was released on 2001-07-31 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mere few years ago it would have seemed odd to propose a Handbook on the treatment of management problems within a sphere of uncertainty. Even today, on the threshold of the third millennium, this statement may provoke a certain wariness. In fact, to resort to exact or random data, that is probable date, is quite normal and con venient, as we then know where we are going best, where we are proposing to go if all occurs as it is conceived and hoped for. To treat uncertain information, to accept a new principle and from there determined criteria, without being sure of oneself and confiding only in the will to better understand objects and phenomena, constitutes and compromise with a new form of understanding the behaviour of current beings that goes even further than simple rationality. Economic Science and particularly the use of its elements of configuration in the world of management, has imbued several generations with an analytical spirit that has given rise to the elaboration of theories widely accepted by the international scientific community. In this work we are proposing something a little more modest: to use, in the best possible way, data and information that are available for drawing up and applying techniques and instruments that are useful for current reality within the world of businesses and institutions, in an attempt to mislead ourselves as little as possible.