The principal aim of this book is to introduce to the widest possible audience an original view of belief calculus and uncertainty theory. Part II, The Geometry of Uncertainty, is the core of this book, as it introduces the author’s own geometric approach to uncertainty theory, starting with the geometry of belief functions: Chap.
Introduction.- Part I: Theories of Uncertainty.- Belief Functions.- Understanding Belief Functions.- Reasoning with Belief Functions.- A Toolbox for the Working Scientist.- The Bigger Picture.- Part II: The Geometry of Uncertainty.- The Geometry of Belief Functions.- Geometry of Dempster's Rule.- Three Equivalent Models.- The Geometry of Possibility.- Part III: Geometry Interplays.- Probability Transforms: The Affine Family.- Probability Transforms: The Epistemic Family.- Consonant Approximation.- Consistent Approximation.- Part IV: Geometric Reasoning.- Geometric Conditioning.- Decision Making with Epistemic Transforms.- Part V The Future of Uncertainty.- An Agenda for the Future.- References.