Set Functions Games And Capacities In Decision Making

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Set Functions, Games and Capacities in Decision Making

Michel Grabisch
Set Functions Games and Capacities in Decision Making Book PDF

Author : Michel Grabisch
Publisher : Springer
Page : 473 pages
File Size : 44,6 Mb
Release : 2016-06-15
Category : Mathematics
ISBN : 9783319306902

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Set Functions, Games and Capacities in Decision Making by Michel Grabisch Pdf

The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory.

New Perspectives in Multiple Criteria Decision Making

Michalis Doumpos,José Rui Figueira,Salvatore Greco,Constantin Zopounidis
New Perspectives in Multiple Criteria Decision Making Book PDF

Author : Michalis Doumpos,José Rui Figueira,Salvatore Greco,Constantin Zopounidis
Publisher : Springer
Page : 427 pages
File Size : 47,8 Mb
Release : 2019-04-02
Category : Business & Economics
ISBN : 9783030114824

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New Perspectives in Multiple Criteria Decision Making by Michalis Doumpos,José Rui Figueira,Salvatore Greco,Constantin Zopounidis Pdf

This book provides comprehensive coverage of the latest research on multiple criteria research analysis (MCDA) and related areas, gathering a collection of high-quality chapters prepared by leading scholars in the field. By covering the established streams in MCDA research and simultaneously exploring new and emerging areas of application, it offers a unique reference resource for the future development of MCDA. The book approaches MCDA as one of the most active areas in operations research and management science (OR/MS). It presents not only the significant advances achieved to date, but also the new opportunities and challenges arising for both the theory and practice of MCDA. Among many others, the book addresses behavioral and conceptual aspects of decision aiding and decision making, problem structuring issues in the framework of new technological and socio-economic advances, methodological and algorithmic advances for analytical modeling and decision aiding, as well as a number of new application areas in engineering, business, and the social sciences.

Pythagorean Fuzzy Sets

Harish Garg
Pythagorean Fuzzy Sets Book PDF

Author : Harish Garg
Publisher : Springer Nature
Page : 443 pages
File Size : 49,8 Mb
Release : 2021-07-22
Category : Mathematics
ISBN : 9789811619892

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Pythagorean Fuzzy Sets by Harish Garg Pdf

This book presents a collection of recent research on topics related to Pythagorean fuzzy set, dealing with dynamic and complex decision-making problems. It discusses a wide range of theoretical and practical information to the latest research on Pythagorean fuzzy sets, allowing readers to gain an extensive understanding of both fundamentals and applications. It aims at solving various decision-making problems such as medical diagnosis, pattern recognition, construction problems, technology selection, and more, under the Pythagorean fuzzy environment, making it of much value to students, researchers, and professionals associated with the field.

ECAI 2020

G. De Giacomo,A. Catala,B. Dilkina
ECAI 2020 Book PDF

Author : G. De Giacomo,A. Catala,B. Dilkina
Publisher : IOS Press
Page : 3122 pages
File Size : 43,9 Mb
Release : 2020-09-11
Category : Computers
ISBN : 9781643681016

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ECAI 2020 by G. De Giacomo,A. Catala,B. Dilkina Pdf

This book presents the proceedings of the 24th European Conference on Artificial Intelligence (ECAI 2020), held in Santiago de Compostela, Spain, from 29 August to 8 September 2020. The conference was postponed from June, and much of it conducted online due to the COVID-19 restrictions. The conference is one of the principal occasions for researchers and practitioners of AI to meet and discuss the latest trends and challenges in all fields of AI and to demonstrate innovative applications and uses of advanced AI technology. The book also includes the proceedings of the 10th Conference on Prestigious Applications of Artificial Intelligence (PAIS 2020) held at the same time. A record number of more than 1,700 submissions was received for ECAI 2020, of which 1,443 were reviewed. Of these, 361 full-papers and 36 highlight papers were accepted (an acceptance rate of 25% for full-papers and 45% for highlight papers). The book is divided into three sections: ECAI full papers; ECAI highlight papers; and PAIS papers. The topics of these papers cover all aspects of AI, including Agent-based and Multi-agent Systems; Computational Intelligence; Constraints and Satisfiability; Games and Virtual Environments; Heuristic Search; Human Aspects in AI; Information Retrieval and Filtering; Knowledge Representation and Reasoning; Machine Learning; Multidisciplinary Topics and Applications; Natural Language Processing; Planning and Scheduling; Robotics; Safe, Explainable, and Trustworthy AI; Semantic Technologies; Uncertainty in AI; and Vision. The book will be of interest to all those whose work involves the use of AI technology.

Modeling Decisions for Artificial Intelligence

Vicenç Torra,Yasuo Narukawa,Isabel Aguiló,Manuel González-Hidalgo
Modeling Decisions for Artificial Intelligence Book PDF

Author : Vicenç Torra,Yasuo Narukawa,Isabel Aguiló,Manuel González-Hidalgo
Publisher : Springer
Page : 335 pages
File Size : 52,7 Mb
Release : 2018-10-08
Category : Computers
ISBN : 9783030002022

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Modeling Decisions for Artificial Intelligence by Vicenç Torra,Yasuo Narukawa,Isabel Aguiló,Manuel González-Hidalgo Pdf

This book constitutes the proceedings of the 15th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2018, held in Mallorca, Spain, in October 2018. The 24 papers presented in this volume were carefully reviewed and selected from 43 submissions. The book also contains one invited talk in full paper length. The papers were organized in topical sections named: aggregation operators, fuzzy measures and integrals; decision making; clustering and classification; and data privacy and security.

Mathematical Optimization Theory and Operations Research: Recent Trends

Yury Kochetov,Anton Eremeev,Oleg Khamisov,Anna Rettieva
Mathematical Optimization Theory and Operations Research Recent Trends Book PDF

Author : Yury Kochetov,Anton Eremeev,Oleg Khamisov,Anna Rettieva
Publisher : Springer Nature
Page : 358 pages
File Size : 44,8 Mb
Release : 2022-09-29
Category : Mathematics
ISBN : 9783031162244

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Mathematical Optimization Theory and Operations Research: Recent Trends by Yury Kochetov,Anton Eremeev,Oleg Khamisov,Anna Rettieva Pdf

This book constitutes refereed proceedings of the 21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022, held in Petrozavodsk, Russia, in July 2022. The 21 full papers and 3 short papers presented in this volume were carefully reviewed and selected from a total of 88 submissions. The papers in the volume are organised according to the following topical headings: ​invited talks; integer programming and combinatorial optimization; mathematical programming; game theory and optimal control; operational research applications.

Discrete Fuzzy Measures

Gleb Beliakov,Simon James,Jian-Zhang Wu
Discrete Fuzzy Measures Book PDF

Author : Gleb Beliakov,Simon James,Jian-Zhang Wu
Publisher : Springer
Page : 245 pages
File Size : 50,7 Mb
Release : 2019-03-19
Category : Technology & Engineering
ISBN : 9783030153052

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Discrete Fuzzy Measures by Gleb Beliakov,Simon James,Jian-Zhang Wu Pdf

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.

New Trends in Aggregation Theory

Radomír Halaš,Marek Gagolewski,Radko Mesiar
New Trends in Aggregation Theory Book PDF

Author : Radomír Halaš,Marek Gagolewski,Radko Mesiar
Publisher : Springer
Page : 348 pages
File Size : 43,7 Mb
Release : 2019-05-16
Category : Technology & Engineering
ISBN : 9783030194949

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New Trends in Aggregation Theory by Radomír Halaš,Marek Gagolewski,Radko Mesiar Pdf

This book collects the contributions presented at AGOP 2019, the 10th International Summer School on Aggregation Operators, which took place in Olomouc (Czech Republic) in July 2019. It includes contributions on topics ranging from the theory and foundations of aggregation functions to their various applications. Aggregation functions have numerous applications, including, but not limited to, data fusion, statistics, image processing, and decision-making. They are usually defined as those functions that are monotone with respect to each input and that satisfy various natural boundary conditions. In particular settings, these conditions might be relaxed or otherwise customized according to the user’s needs. Noteworthy classes of aggregation functions include means, t-norms and t-conorms, uninorms and nullnorms, copulas and fuzzy integrals (e.g., the Choquet and Sugeno integrals). This book provides a valuable overview of recent research trends in this area.

Algebraic Techniques and Their Use in Describing and Processing Uncertainty

Hung T. Nguyen,Vladik Kreinovich
Algebraic Techniques and Their Use in Describing and Processing Uncertainty Book PDF

Author : Hung T. Nguyen,Vladik Kreinovich
Publisher : Springer Nature
Page : 170 pages
File Size : 49,9 Mb
Release : 2020-02-13
Category : Technology & Engineering
ISBN : 9783030385651

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Algebraic Techniques and Their Use in Describing and Processing Uncertainty by Hung T. Nguyen,Vladik Kreinovich Pdf

This book discusses heuristic methods – methods lacking a solid theoretical justification – which are ubiquitous in numerous application areas, and explains techniques that can make heuristic methods more reliable. Focusing on algebraic techniques, i.e., those that use only a few specific features of a situation, it describes various state-of-the-art applications, ranging from fuzzy methods for dealing with imprecision to general optimization methods and quantum-based methods for analyzing economic phenomena. The book also includes recent results from leading researchers, which could (and hopefully will) provide the basis for future applications. As such, it is a valuable resource for mathematicians interested in potential applications of their algebraic results and ideas, as well as for application specialists wanting to discover how algebraic techniques can help in their domains.

Belief Functions: Theory and Applications

Sylvie Le Hégarat-Mascle,Isabelle Bloch,Emanuel Aldea
Belief Functions Theory and Applications Book PDF

Author : Sylvie Le Hégarat-Mascle,Isabelle Bloch,Emanuel Aldea
Publisher : Springer Nature
Page : 318 pages
File Size : 43,9 Mb
Release : 2022-09-29
Category : Mathematics
ISBN : 9783031178016

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Belief Functions: Theory and Applications by Sylvie Le Hégarat-Mascle,Isabelle Bloch,Emanuel Aldea Pdf

This book constitutes the refereed proceedings of the 7th International Conference on Belief Functions, BELIEF 2022, held in Paris, France, in October 2022. The theory of belief functions is now well established as a general framework for reasoning with uncertainty, and has well-understood connections to other frameworks such as probability, possibility, and imprecise probability theories. It has been applied in diverse areas such as machine learning, information fusion, and pattern recognition. The 29 full papers presented in this book were carefully selected and reviewed from 31 submissions. The papers cover a wide range on theoretical aspects on mathematical foundations, statistical inference as well as on applications in various areas including classification, clustering, data fusion, image processing, and much more.

Aggregation Functions in Theory and in Practice

Vicenç Torra,Radko Mesiar,Bernard De Baets
Aggregation Functions in Theory and in Practice Book PDF

Author : Vicenç Torra,Radko Mesiar,Bernard De Baets
Publisher : Springer
Page : 264 pages
File Size : 48,9 Mb
Release : 2017-05-17
Category : Technology & Engineering
ISBN : 9783319593067

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Aggregation Functions in Theory and in Practice by Vicenç Torra,Radko Mesiar,Bernard De Baets Pdf

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).

Theory of Random Sets

Ilya Molchanov
Theory of Random Sets Book PDF

Author : Ilya Molchanov
Publisher : Springer
Page : 678 pages
File Size : 49,8 Mb
Release : 2017-12-14
Category : Mathematics
ISBN : 9781447173496

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Theory of Random Sets by Ilya Molchanov Pdf

This monograph, now in a thoroughly revised second edition, offers the latest research on random sets. It has been extended to include substantial developments achieved since 2005, some of them motivated by applications of random sets to econometrics and finance. The present volume builds on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference. It shows the various interdisciplinary relationships of random set theory within other parts of mathematics, and at the same time fixes terminology and notation that often vary in the literature, establishing it as a natural part of modern probability theory and providing a platform for future development. It is completely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight. Aimed at research level, Theory of Random Sets will be an invaluable reference for probabilists; mathematicians working in convex and integral geometry, set-valued analysis, capacity and potential theory; mathematical statisticians in spatial statistics and uncertainty quantification; specialists in mathematical economics, econometrics, decision theory, and mathematical finance; and electronic and electrical engineers interested in image analysis.

Information Processing and Management of Uncertainty in Knowledge-Based Systems

Davide Ciucci,Inés Couso,Jesús Medina,Dominik Ślęzak,Davide Petturiti,Bernadette Bouchon-Meunier,Ronald R. Yager
Information Processing and Management of Uncertainty in Knowledge Based Systems Book PDF

Author : Davide Ciucci,Inés Couso,Jesús Medina,Dominik Ślęzak,Davide Petturiti,Bernadette Bouchon-Meunier,Ronald R. Yager
Publisher : Springer Nature
Page : 807 pages
File Size : 43,9 Mb
Release : 2022-07-04
Category : Computers
ISBN : 9783031089749

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Information Processing and Management of Uncertainty in Knowledge-Based Systems by Davide Ciucci,Inés Couso,Jesús Medina,Dominik Ślęzak,Davide Petturiti,Bernadette Bouchon-Meunier,Ronald R. Yager Pdf

This two-volume set (CCIS 1601-1602) constitutes the proceedings of the 19th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2021, held in Milan, Italy, in July 2022. The 124 papers were carefully reviewed and selected from 188 submissions. The papers are organized in topical sections as follows: aggregation theory beyond the unit interval; formal concept analysis and uncertainty; fuzzy implication functions; fuzzy mathematical analysis and its applications; generalized sets and operators; information fusion techniques based on aggregation functions, pre-aggregation functions, and their generalizations; interval uncertainty; knowledge acquisition, representation and reasoning; logical structures of opposition and logical syllogisms; mathematical fuzzy logics; theoretical and applied aspects of imprecise probabilities; data science and machine learning; decision making modeling and applications; e-health; fuzzy methods in data mining and knowledge discovery; soft computing and artificia intelligence techniques in image processing; soft methods in statistics and data analysis; uncertainty, heterogeneity, reliability and explainability in AI; weak and cautious supervised learning.

Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations

Jesús Medina,Manuel Ojeda-Aciego,José Luis Verdegay,David A. Pelta,Inma P. Cabrera,Bernadette Bouchon-Meunier,Ronald R. Yager
Information Processing and Management of Uncertainty in Knowledge Based Systems Theory and Foundations Book PDF

Author : Jesús Medina,Manuel Ojeda-Aciego,José Luis Verdegay,David A. Pelta,Inma P. Cabrera,Bernadette Bouchon-Meunier,Ronald R. Yager
Publisher : Springer
Page : 773 pages
File Size : 53,7 Mb
Release : 2018-05-30
Category : Computers
ISBN : 9783319914763

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Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations by Jesús Medina,Manuel Ojeda-Aciego,José Luis Verdegay,David A. Pelta,Inma P. Cabrera,Bernadette Bouchon-Meunier,Ronald R. Yager Pdf

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).

Artificial Intelligence: Theory and Applications

Endre Pap
Artificial Intelligence Theory and Applications Book PDF

Author : Endre Pap
Publisher : Springer Nature
Page : 353 pages
File Size : 52,8 Mb
Release : 2021-07-15
Category : Technology & Engineering
ISBN : 9783030727116

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Artificial Intelligence: Theory and Applications by Endre Pap Pdf

This book is an up-to-date collection, in AI and environmental research, related to the project ATLAS. AI is used for gaining an understanding of complex research phenomena in the environmental sciences, encompassing heterogeneous, noisy, inaccurate, uncertain, diverse spatio-temporal data and processes. The first part of the book covers new mathematics in the field of AI: aggregation functions with special classes such as triangular norms and copulas, pseudo-analysis, and the introduction to fuzzy systems and decision making. Generalizations of the Choquet integral with applications in decision making as CPT are presented. The second part of the book is devoted to AI in the geo-referenced air pollutants and meteorological data, image processing, machine learning, neural networks, swarm intelligence, robotics, mental well-being and data entry errors. The book is intended for researchers in AI and experts in environmental sciences as well as for Ph.D. students.