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The Geometry of Uncertainty
The principal aim of this book is to introduce to the widest possible audience an original view of belief calculus and uncertainty theory. In this geometric approach to uncertainty, uncertainty measures can be seen as points of a suitably complex geometric space, and manipulated in that space, for example, combined or conditioned. In the chapters in Part I, Theories of Uncertainty, the author offers an extensive recapitulation of the state of the art in the mathematics of uncertainty. This part of the book contains the most comprehensive summary to date of the whole of belief theory, with Chap. 4 outlining for the first time, and in a logical order, all the steps of the reasoning chain assoc...
Implementing general belief function framework with a practical codification for low complexity
In this chapter, we propose a new practical codification of the elements of the Venn diagram in order to easily manipulate the focal elements. In order to reduce the complexity, the eventual constraints must be integrated in the codification at the beginning.
Advances and Applications of DSmT for Information Fusion (Collected Works. Volume 5)
This fifth volume on Advances and Applications of DSmT for Information Fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics, and is available in open-access. The collected contributions of this volume have either been published or presented after disseminating the fourth volume in 2015 (available at fs.unm.edu/DSmT-book4.pdf or www.onera.fr/sites/default/files/297/2015-DSmT-Book4.pdf) in international conferences, seminars, workshops and journals, or they are new. The contributions of each part of this volume are chronologically ordered. First Part of this book presents some theoretical advances on DSmT, dealing m...
Advances and Applications of DSmT for Information Fusion, Vol. IV
The fourth volume on Advances and Applications of Dezert-Smarandache Theory (DSmT) for information fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics. The contributions (see List of Articles published in this book, at the end of the volume) have been published or presented after disseminating the third volume (2009, http://fs.gallup.unm.edu/DSmT-book3.pdf) ininternational conferences, seminars, workshops and journals.
The Ecology and Evolution of Heliconius Butterflies
The Heliconius butterflies are one of the classic systems in evolutionary biology and have contributed hugely to our understanding of evolution over the last 150 years. Their dramatic radiation and remarkable mimicry has fascinated biologists since the days of Bates, Wallace, and Darwin. The Ecology and Evolution of Heliconius Butterflies is the first thorough and accessible treatment of the ecology, genetics, and behaviour of these butterflies, exploring how they offer remarkable insights into tropical biodiversity. The book starts by outlining some of the evolutionary questions that Heliconius research has helped to address, then moves on to an overview of the butterflies themselves and their ecology and behaviour before focussing on wing pattern evolution, and finally, speciation. Richly illustrated with 32 colour plates, this book makes the extensive scientific literature on Heliconius butterflies accessible to a wide audience of professional ecologists, evolutionary biologists, entomologists, and amateur collectors.
Non-numeric labels and constrained focal elements
The theory of belief functions allows to build a large family of combination operators, based mostly on intersections and unions between the focal elements expressed by the experts, and multiplications and additions on the masses affected to these focal elements.
Belief Functions: Theory and Applications
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.
The Return of Martin Guerre
The clever peasant Arnaud du Tilh had almost persuaded the learned judges at the Parlement of Toulouse when, on a summer’s day in 1560, a man swaggered into the court on a wooden leg, denounced Arnaud, and reestablished his claim to the identity, property, and wife of Martin Guerre. The astonishing case captured the imagination of the continent. Told and retold over the centuries, the story of Martin Guerre became a legend, still remembered in the Pyrenean village where the impostor was executed more than 400 years ago. Now a noted historian, who served as consultant for a new French film on Martin Guerre, has searched archives and lawbooks to add new dimensions to a tale already abundant ...
Uncertainty Modelling in Knowledge Engineering and Decision Making
FLINS, originally an acronym for Fuzzy Logic and Intelligent Technologies in Nuclear Science, is now extended to include Computational Intelligence for applied research. The contributions to the 12th of FLINS conference cover state-of-the-art research, development, and technology for computational intelligence systems, both from the foundations and the applications points-of-view.
