This book presents recent research in the field of interaction between computational intelligence and mathematics. In the current technological age, we face the challenges of tackling very complex problems – in the usual sense, but also in the mathematical and theoretical computer science sense. However, even the most up-to-date results in mathematics, are unable to provide exact solutions of such problems, and no further technical advances will ever make it possible to find general and exact solutions. Constantly developing technologies (including social technologies) necessitate handling very complex problems. This has led to a search for acceptably “good” or precise solutions, which can be achieved by the combination of traditional mathematical techniques and computational intelligence tools, in order to solve the various problems emerging in many different areas to a satisfactory degree. Important funding programs, such as the European Commission’s current framework programme for research and innovation – Horizon 2020 – are devoted to the development of new instruments to deal with the current challenges. Without doubt, research topics associated with the interactions between computational intelligence and traditional mathematics play a key role. Presenting contributions from engineers, scientists and mathematicians, this book offers a series of novel solutions for meaningful and real-world problems that connect those research areas.

This book presents recent research in the field of interaction between computational intelligence and mathematics, ranging from theory to applications. Computational intelligence, or soft computing consists of various bio-inspired methods, especially fuzzy systems, artificial neural networks, evolutionary and memetic algorithms. These research areas were initiated by professionals in various applied fields, such as engineers, economists, and financial and medical experts. Although computational intelligence offered solutions (at least quasi-optimal solutions) for problems with high complexity, vague and undeterministic features, initially little attention was paid to the mathematical models and analysis of the methods successfully applied. A typical example is the extremely successful Mamdani-algorithm, and its modifications and extensions, applied since the mid-1970s, where the first analysis of the simplest cases, showing why this algorithm was so efficient and stable, was not given until the early 1990s. Since the mid-2000s, the authors have organized international conferences annually to focus on the mathematical methodological issues in connection with computational intelligence approaches. These conferences have attracted a large number of submissions with a wide scope of topics and quality. The editors selected several high-quality papers and approached the authors to submit an essentially extended and improved book chapter based on the lectures.This volume is the first contributed book on the subject.

Onomastics is an area of scholarly interest that has grown considerably in importance in recent years. Consequently, the 27th International Congress of Onomastic Sciences, held in 2021 in Kraków, Poland, gathered scholars from all over the world, active in all subfields of onomastic enquiry, as well as those exploring the areas bordering on other disciplines of the humanities. It thus became a venue for presenting state-of-the-art research in the study of proper names, proposing novel approaches and opening new vistas for future research. The present work is the second of the three volumes of conference proceedings that were the fruit of the congress. Devoted to personal naming, it contains 28 individual articles, contributed by 32 scholars. Some of them study recent fashions in name-giving in countries as diverse as Bulgaria, Japan, Latvia, Lithuania, or Sweden. Others explore historical trends in given name choice, exemplified by Estonia or the Netherlands. Family names are represented by the analyses of married names in Hungary, of the surnames of Zagreb Jews, of German surnames in Latvia and the Carpathian Basin, or of changes of foreign-sounding surnames in Sweden. Unconventional naming proved scientifically fruitful too, as can be seen in the chapters on village bynames in Romania or student nicknames in Russia. Finally, there are researchers who provide a general overview of naming patterns in countries as varied as Botswana and Hungary, or Romania and China. The opportunities offered by the application of new technology to onomastic research are explored in relation to the namestock in Denmark and the Netherlands. Simultaneously, these technologies may also themselves lead to the creation of novel objects of study – a case in point being Russian Internet usernames. Anthroponymic data may inform non-onomastic research as well, for instance they can offer insight into a country’s history or ethnic composition, as evidenced by texts dealing with personal naming in Hungary or Ukraine. The volume is complemented by articles whose focus is the interface of onomastics and pragmatics, phonetics, prosody and gender studies, drawing on examples drawn from Dutch, Japanese, Romanian, Russian, Spanish and Swedish. The book is a must not only for onomasticians, but also for researchers in related disciplines, ranging from history, via human geography or philosophy of language, to social studies. However, professionals active in naming will find it useful as well, since it provides a much-needed supranational perspective and enables cross-cultural comparisons.

This book collects the final versions of the highest quality papers presented at the conference 11th European Symposium on Computational Intelligence and Mathematics held on October 2–5, 2019, in Toledo (Spain). The conjugation of computational sciences with different mathematical tools is essential in order to solve different challenges that arise in a wide-ranging knowledge areas. Nowadays, many promising research lines are being developed in this direction from the theoretical and applicational perspectives. In this publication, computational intelligence and mathematics are combined in interesting research works that aim to give answers to complex real problems. Moreover, the technical program of this conference included four excellent keynote speeches, given by Prof. José Luis Verdegay (Guidelines to solve Decision Making Problems), Prof. Joao Paulo Carvalho (Recommender Systems: Using Fuzzy Fingerprints for ``Proper'' Recommendations), Dr. Andreja Tepavcevic (Special lattice valued structures and approximate solutions of linear equations), and Prof. Juan Moreno-Garcia (Generating linguistic descriptions using Linguistic Petri Nets).

With the widespread growth of the Internet, a new space – cyberspace – has appeared and has rapidly been integrated into every facet of life and work. It has effectively become the fourth basic living space for human beings. Although cyberspace has become a topic of increasing widespread concern, it is still difficult to understand cyberspace well because of its many definitions, vast and varied content, and differences with other similar spaces. A Brief History of Cyberspace attempts to establish a complete knowledge system about the evolution and history of cyberspace and cyber-enabled spaces (i.e., cyber-enabled physical space, cyber-enabled social space, and cyber-enabled thinking space). By providing a comprehensive overview, this book aims to help readers understand the history of cyberspace and lays a solid foundation for researchers and learners who are interested in cyberspace. The book has three main objectives: To provide a comprehensive understanding of the development of cyberspace, ranging from its origin, evolutions, and research status to open issues and future challenges, as well as related hot topics in industry and academia. To examine cyber life, cyber syndrome, and health in addition to cyber-enabled spaces designed for better living. To describe cyberspace governance from the perspective of the individual, society, and national and international levels in order to promote a more profound and reasonable direction to the development of cyberspace. Consisting of 16 chapters, the book is divided into three parts. Chapter 1 introduces the origins and basic concept of cyberspace, cyber philosophy, and cyber logic to help readers have a general understanding of cyberspace. Chapters 2 through 7 discuss a wide variety of topics related to human behavior, psychology, and health to help people better adapt to cyberspace. Chapters 8 through 16 present the history of cyberspace governance and various social and culture aspects of cyberspace. Each chapter concludes with a discussion of future development.

This book gathers selected papers presented at the conference of the Forum for Interdisciplinary Mathematics (FIM), held at Palau Macaya, Barcelona, on 18 to 20 November, 2015. The event was co-organized by the University of Barcelona (Spain), the Spanish Royal Academy of Economic and Financial Sciences (Spain) and the Forum for Interdisciplinary Mathematics (India). This instalment of the conference was presented with the title “Applied Mathematics and Computational Intelligence” and particularly focused on the use of Mathematics and Computational Intelligence techniques in a diverse range of scientific disciplines, as well as their applications in real-world problems. The book presents thirty peer-reviewed research papers, organised into four topical sections: on Mathematical Foundations; Computational Intelligence and Optimization Techniques; Modelling and Simulation Techniques; and Applications in Business and Engineering. This book will be of great interest to anyone working in the area of applied mathematics and computational intelligence and will be especially useful for scientists and graduate students pursuing research in these fields.

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.

This book highlights the contribution of artificial intelligence for mathematics education. It provides concrete ideas supported by mathematical work obtained through dynamic international collaboration, and discusses the flourishing of new mathematics in the contemporary world from a sustainable development perspective. Over the past thirty years, artificial intelligence has gradually infiltrated all facets of society. When it is deployed in interaction with the human designer or user, AI certainly raises new ethical questions. But as soon as it aims to augment intelligence in a kind of human-machine partnership, it goes to the heart of knowledge development and the very performance of work. The proposed themes and the sections of the book address original issues relating to the creation of AI milieus to work on mathematics, to the AI-supported learning of mathematics and to the coordination of « usual » paper/pencil techniques and « new » AI-aided educational working spaces. The authors of the book and the coordinators of each section are all established specialists in mathematics didactics, mathematics and computer science. In summary, this book is a must-read for everyone interested in the teaching and learning of mathematics, and it concerns the interaction between the human and the machine in both directions. It contains ideas, questions and inspiration that invite to take up the challenge of Artificial Intelligence contributing to Mathematical Human Learning.

This book is a tribute to Professor Ewa Orłowska, a Polish logician who was celebrating the 60th year of her scientific career in 2017. It offers a collection of contributed papers by different authors and covers the most important areas of her research. Prof. Orłowska made significant contributions to many fields of logic, such as proof theory, algebraic methods in logic and knowledge representation, and her work has been published in 3 monographs and over 100 articles in internationally acclaimed journals and conference proceedings. The book also includes Prof. Orłowska’s autobiography, bibliography and a trialogue between her and the editors of the volume, as well as contributors' biographical notes, and is suitable for scholars and students of logic who are interested in understanding more about Prof. Orłowska’s work.

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.