Possibility Theory for the Design of Information Fusion Systems

Description

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. Front Matter ....Pages i-x Introduction to Possibility Theory (Basel Solaiman, Éloi Bossé)....Pages 1-11 Fundamental Possibilistic Concepts (Basel Solaiman, Éloi Bossé)....Pages 13-46 Joint Possibility Distributions and Conditioning (Basel Solaiman, Éloi Bossé)....Pages 47-81 Possibilistic Similarity Measures (Basel Solaiman, Éloi Bossé)....Pages 83-135 The Interrelated Uncertainty Modeling Theories (Basel Solaiman, Éloi Bossé)....Pages 137-164 Possibility Integral (Basel Solaiman, Éloi Bossé)....Pages 165-203 Fusion Operators and Decision-Making Criteria in the Framework of Possibility Theory (Basel Solaiman, Éloi Bossé)....Pages 205-227 Possibilistic Concepts Applied to Soft Pattern Classification (Basel Solaiman, Éloi Bossé)....Pages 229-260 The Use of Possibility Theory in the Design of Information Fusion Systems (Basel Solaiman, Éloi Bossé)....Pages 261-278 Back Matter ....Pages 279-288