This book features 29 peer-reviewed papers presented at the 9th
International Conference on Soft Methods in Probability and
Statistics (SMPS 2018), which was held in conjunction with the 5th
International Conference on Belief Functions (BELIEF 2018) in
Compiegne, France on September 17-21, 2018. It includes
foundational, methodological and applied contributions on topics as
varied as imprecise data handling, linguistic summaries, model
coherence, imprecise Markov chains, and robust optimisation. These
proceedings were produced using EasyChair. Over recent decades,
interest in extensions and alternatives to probability and
statistics has increased significantly in diverse areas, including
decision-making, data mining and machine learning, and
optimisation. This interest stems from the need to enrich existing
models, in order to include different facets of uncertainty, like
ignorance, vagueness, randomness, conflict or imprecision.
Frameworks such as rough sets, fuzzy sets, fuzzy random variables,
random sets, belief functions, possibility theory, imprecise
probabilities, lower previsions, and desirable gambles all share
this goal, but have emerged from different needs. The advances,
results and tools presented in this book are important in the
ubiquitous and fast-growing fields of data science, machine
learning and artificial intelligence. Indeed, an important aspect
of some of the learned predictive models is the trust placed in
them. Modelling the uncertainty associated with the data and the
models carefully and with principled methods is one of the means of
increasing this trust, as the model will then be able to
distinguish between reliable and less reliable predictions. In
addition, extensions such as fuzzy sets can be explicitly designed
to provide interpretable predictive models, facilitating user
interaction and increasing trust.
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