Uncertainty and Information: Foundations of Generalized Information Theory (Klir, G.J.; 2006)

Abstract

This book gives a comprehensive exposition of a "generalized information theory" (GIT) that was developed in the early 1990s by the author. The book is organized in ten chapters and runs 499 pages. Some of the topics covered include: the roots, motivations, framework, relevant terminology, and notation; the theory based on possibility and the associated notion necessity; probability-based uncertainty theory; probability-based uncertainty theory in the frame of classical set theory; fuzzy set theory; fuzzification methods of uncertainty theories; and four methodological principles of uncertainty. Seven appendices complement the book, including a 29-page bibliography. There are also subject and name indexes. Exercises ending each chapter make it possible to verify the level of understanding the material. The book can act a a perfect self-contained textbook, but as it tackles the problems at the cutting edge of research, it gives inspiration for further study and solving new problems. The book may provide invaluable help to newcomers and professionals who recognize and deal with multiple types of uncertainty and look for both reference and inspiration.