This practical guidebook describes the basic concepts, the mathematical
developments, and the engineering methodologies for exploiting
possibility theory for the computer-based design of an information
fusion system where the goal is decision support for industries in smart
ICT (information and communications technologies). This exploitation of
possibility theory improves upon probability theory, complements
Dempster-Shafer theory, and fills an important gap in this era of Big
Data and Internet of Things.
The book discusses fundamental possibilistic concepts: distribution,
necessity measure, possibility measure, joint distribution,
conditioning, distances, similarity measures, possibilistic decisions,
fuzzy sets, fuzzy measures and integrals, and finally, the interrelated
theories of uncertainty..uncertainty. These topics form an essential
tour of the mathematical tools needed for the latter chapters of the
book. These chapters present applications related to decision-making and
pattern recognition schemes, and finally, a concluding chapter on the
use of possibility theory in the overall challenging design of an
information fusion system. This book will appeal to researchers and
professionals in the field of information fusion and analytics,
information and knowledge processing, smart ICT, and decision support
systems.