A Fast Combination Method In Dsmt And Its Application To Recommender System
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A fast combination method in DSmT and its application to recommender system
In many applications involving epistemic uncertainties usually modeled by belief functions, it is often necessary to approximate general (non-Bayesian) basic belief assignments (BBAs) to subjective probabilities (called Bayesian BBAs).
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 mainly with modified Proportional Conflict Redistribution Rules (PCR) of combination with degree of intersection, coarsening techniques, interval calculus for PCR thanks to set inversion via interval analysis (SIVIA), rough set classifiers, canonical decomposition of dichotomous belief functions, fast PCR fusion, fast inter-criteria analysis with PCR, and improved PCR5 and PCR6 rules preserving the (quasi-)neutrality of (quasi-)vacuous belief assignment in the fusion of sources of evidence with their Matlab codes. Because more applications of DSmT have emerged in the past years since the apparition of the fourth book of DSmT in 2015, the second part of this volume is about selected applications of DSmT mainly in building change detection, object recognition, quality of data association in tracking, perception in robotics, risk assessment for torrent protection and multi-criteria decision-making, multi-modal image fusion, coarsening techniques, recommender system, levee characterization and assessment, human heading perception, trust assessment, robotics, biometrics, failure detection, GPS systems, inter-criteria analysis, group decision, human activity recognition, storm prediction, data association for autonomous vehicles, identification of maritime vessels, fusion of support vector machines (SVM), Silx-Furtif RUST code library for information fusion including PCR rules, and network for ship classification. Finally, the third part presents interesting contributions related to belief functions in general published or presented along the years since 2015. These contributions are related with decision-making under uncertainty, belief approximations, probability transformations, new distances between belief functions, non-classical multi-criteria decision-making problems with belief functions, generalization of Bayes theorem, image processing, data association, entropy and cross-entropy measures, fuzzy evidence numbers, negator of belief mass, human activity recognition, information fusion for breast cancer therapy, imbalanced data classification, and hybrid techniques mixing deep learning with belief functions as well.
A Tapestry of Thought. Smarandache's Contributions to Knowledge and Artistic Expression. An Exploration of Smarandache’s World, Where Science Meets Creativity
This volume offers readers a brief yet enriching journey into the interdisciplinary realm of captivating ideas articulated by Florentin Smarandache throughout his career. More than five decades ago, Smarandache embarked on a remarkable scientific and cultural odyssey, challenging established boundaries and redefining the connection between diverse fields of knowledge and creativity. By blurring conventional lines, Smarandache’s work seamlessly bridges science, literature, art, and philosophy, creating a fusion that sparks innovation. His contributions stand at the intersection of exploration, where logic converges with imagination, and creativity propels new frontiers of thought. Smarandache’s work transcends traditional disciplines, composing a creative symphony of knowledge that resonates across a large spectrum of human understanding. From groundbreaking theories in mathematics and physics to bold contributions in literature and the arts, his endeavor exemplifies the power of interdisciplinary thinking. While this particular volume offers a glimpse into his multifaceted career, it is important to note that it does not fully capture the breadth of Smarandache’s contributions. This book honors Smarandache’s 70th anniversary, celebrating his vast and multifaceted achievements—a visionary whose ideas continue to push the boundaries of what is possible when deep scientific knowledge and boundless creativity converge.