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Uncertainty Theory (Paperback, Softcover reprint of the original 4th ed. 2015)
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Uncertainty Theory (Paperback, Softcover reprint of the original 4th ed. 2015)
Series: Springer Uncertainty Research
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When no samples are available to estimate a probability
distribution, we have to invite some domain experts to evaluate the
belief degree that each event will happen. Perhaps some people
think that the belief degree should be modeled by subjective
probability or fuzzy set theory. However, it is usually
inappropriate because both of them may lead to counterintuitive
results in this case. In order to rationally deal with belief
degrees, uncertainty theory was founded in 2007 and subsequently
studied by many researchers. Nowadays, uncertainty theory has
become a branch of axiomatic mathematics for modeling belief
degrees. This is an introductory textbook on uncertainty theory,
uncertain programming, uncertain statistics, uncertain risk
analysis, uncertain reliability analysis, uncertain set, uncertain
logic, uncertain inference, uncertain process, uncertain calculus,
and uncertain differential equation. This textbook also shows
applications of uncertainty theory to scheduling, logistics,
networks, data mining, control, and finance.
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