Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Associative Functions PDF full book. Access full book title Associative Functions by Claudi Alsina. Download full books in PDF and EPUB format.
Author: Claudi Alsina Publisher: World Scientific ISBN: 9812566716 Category : Science Languages : en Pages : 253
Book Description
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: Claudi Alsina Publisher: World Scientific ISBN: 9812566716 Category : Science Languages : en Pages : 253
Book Description
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: Zygmunt Frajzyngier Publisher: Oxford University Press, USA ISBN: 0198844298 Category : Language Arts & Disciplines Languages : en Pages : 337
Book Description
This volume explores the question of why languages differ in the meanings expressed by their grammatical systems. It offers a new methodology to explore the differences and the motivations behind the emergence of meanings, based on data from a wide range of languages, including English, French, Polish, Chadic languages, and Sino-Russian idiolects.
Author: Humberto Bustince Sola Publisher: Springer Science & Business Media ISBN: 3642391656 Category : Technology & Engineering Languages : en Pages : 535
Book Description
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: Sergiy A. Plaksa Publisher: Springer Nature ISBN: 3031322541 Category : Mathematics Languages : en Pages : 548
Book Description
This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication. The study of these monogenic functions in various commutative algebras leads to a discovery of new ways of solving boundary value problems in mathematical physics. The book consists of six parts: Part I presents some preliminary notions and introduces various concepts of differentiable mappings of vector spaces. Part II - V is devoted to the study of monogenic functions in various spaces with commutative multiplication, namely, three dimensional commutative algebras with two-dimensional radical, finite-dimensional commutative associative algebras, infinite-dimensional vector spaces associated with the three-dimensional Laplace equation and infinite-dimensional vector spaces associated with axial-symmetric potential fields. Part VI presents some boundary value problems for axial-symmetric potential fields and develops effective analytic methods of solving these boundary value problems with various applications in mathematical physics. Graduate students and researchers alike benefit from this book.
Author: Eyke Hüllermeier Publisher: Springer Science & Business Media ISBN: 3642140548 Category : Computers Languages : en Pages : 786
Book Description
The International Conference on Information Processing and Management of - certainty in Knowledge-Based Systems, IPMU, is organized every two years with the aim of bringing together scientists working on methods for the management of uncertainty and aggregation of information in intelligent systems. Since 1986, this conference has been providing a forum for the exchange of ideas between th theoreticians and practitioners working in these areas and related ?elds. The 13 IPMU conference took place in Dortmund, Germany, June 28–July 2, 2010. This volume contains 79 papers selected through a rigorous reviewing process. The contributions re?ect the richness of research on topics within the scope of the conference and represent several important developments, speci?cally focused on theoretical foundations and methods for information processing and management of uncertainty in knowledge-based systems. We were delighted that Melanie Mitchell (Portland State University, USA), Nihkil R. Pal (Indian Statistical Institute), Bernhard Sch ̈ olkopf (Max Planck I- titute for Biological Cybernetics, Tubing ̈ en, Germany) and Wolfgang Wahlster (German Research Center for Arti?cial Intelligence, Saarbruc ̈ ken) accepted our invitations to present keynote lectures. Jim Bezdek received the Kamp ́ede F ́ eriet Award, granted every two years on the occasion of the IPMU conference, in view of his eminent research contributions to the handling of uncertainty in clustering, data analysis and pattern recognition.
Author: Anne Laurent Publisher: Springer ISBN: 3319088521 Category : Computers Languages : en Pages : 585
Book Description
These three volumes (CCIS 442, 443, 444) constitute the proceedings of the 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2014, held in Montpellier, France, July 15-19, 2014. The 180 revised full papers presented together with five invited talks were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on uncertainty and imprecision on the web of data; decision support and uncertainty management in agri-environment; fuzzy implications; clustering; fuzzy measures and integrals; non-classical logics; data analysis; real-world applications; aggregation; probabilistic networks; recommendation systems and social networks; fuzzy systems; fuzzy logic in boolean framework; management of uncertainty in social networks; from different to same, from imitation to analogy; soft computing and sensory analysis; database systems; fuzzy set theory; measurement and sensory information; aggregation; formal methods for vagueness and uncertainty in a many-valued realm; graduality; preferences; uncertainty management in machine learning; philosophy and history of soft computing; soft computing and sensory analysis; similarity analysis; fuzzy logic, formal concept analysis and rough set; intelligent databases and information systems; theory of evidence; aggregation functions; big data - the role of fuzzy methods; imprecise probabilities: from foundations to applications; multinomial logistic regression on Markov chains for crop rotation modelling; intelligent measurement and control for nonlinear systems.
Author: Claudi Alsina Publisher: World Scientific ISBN: 9814478520 Category : Mathematics Languages : en Pages : 253
Book Description
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: Micah Corum Publisher: Walter de Gruyter GmbH & Co KG ISBN: 1501500910 Category : Language Arts & Disciplines Languages : en Pages : 243
Book Description
This volume provides a large-scale, in-depth analysis of locative structures in Nigerian Pidgin and Ghanaian Pidgin English and compares those structures to locatives in their lexifier, substrate, and adstrate languages. The work draws on new research methods for investigating substrate and adstrate influence in semantics and creole genesis.
Author: Diane Jeske Publisher: Taylor & Francis ISBN: 1000619451 Category : Philosophy Languages : en Pages : 559
Book Description
The Routledge Handbook of the Philosophy of Friendship is a superb compilation of chapters that explore the history, major topics, and controversies in philosophical work on friendship. It gives both the advanced scholar and the novice in the field an overview and also an in-depth exploration of the connections between friendship and the history of philosophy, morality, practical rationality, value theory, and interpersonal relationships more generally. The Handbook consists of 31 newly commissioned chapters by an international slate of contributors, and is divided into six sections: I. Historical Perspectives II. Who Can Be Our Friends? III. Friendship and Other Relationships IV. The Value and Rationality of Friendship V. Friendship, Morality, and Virtue VI. New Issues in Philosophy of Friendship This volume is essential reading not only for anyone interested in the philosophical questions involving friendship, but also for anyone interested in related topics such as love, sex, moral duties, the good life, the nature of rationality, interpersonal and interspecies relationships, and the nature of the person.
Author: Heinz Steiner Publisher: Academic Press ISBN: 0128025263 Category : Medical Languages : en Pages : 1038
Book Description
Handbook of Basal Ganglia Structure and Function, Second Edition, offers an integrated overview of the structural and functional aspects of the basal ganglia, highlighting clinical relevance. The basal ganglia, a group of forebrain nuclei interconnected with the cerebral cortex, thalamus, and brainstem, are involved in numerous brain functions, such as motor control and learning, sensorimotor integration, reward, and cognition. These nuclei are essential for normal brain function and behavior, and their importance is further emphasized by the numerous and diverse disorders associated with basal ganglia dysfunction, including Parkinson's disease, Tourette's syndrome, Huntington's disease, obsessive-compulsive disorder, dystonia, and psychostimulant addiction. This updated edition has been thoroughly revised to provide the most up-to-date account of this critical brain structure. Edited and authored by internationally acclaimed basal ganglia researchers, the new edition contains ten entirely new chapters that offer expanded coverage of anatomy and physiology, detailed accounts of recent advances in cellular/molecular mechanisms and cellular/physiological mechanisms, and critical, deeper insights into the behavioral and clinical aspects of basal ganglia function and dysfunction. - Synthesizes widely dispersed information on the behavioral neurobiology of the basal ganglia, including advances in the understanding of anatomy, cellular/molecular and cellular/physiological mechanisms, and behavioral and clinical aspects of function and dysfunction - Written by international authors who are preeminent researchers in the field - Explores, in full, the clinically relevant impact of the basal ganglia on various psychiatric and neurological diseases
Author: Claudi Alsina
Author: Claudi Alsina
Author: Zygmunt Frajzyngier
Author: Humberto Bustince Sola
Author: Sergiy A. Plaksa
Author: Eyke Hüllermeier
Author: Anne Laurent
Author: Claudi Alsina
Author: Micah Corum
Author: Diane Jeske
Author: Heinz Steiner