Titlebook: Soft Methods in Probability, Statistics and Data Analysis; Przemysław Grzegorzewski,Olgierd Hryniewicz,María Conference proceedings 2002

婚姻生活

Lower Previsions for Unbounded Random Variablesintroduce extended lower previsions as extended real-valued maps on arbitrary, not necessarily bounded, random variables. We suggest and motivate conditions for avoiding sure loss, coherence and linearity, we construct a natural extension, and we suggest a way to generalise some of the more advanced

旧式步枪

A Hierarchical Uncertainty Model under Essentially Incomplete Informatione presented approach for dealing with such model allows us to combine the available heterogeneous information in the following ways: computing new probability bounds for some predefined interval of previsions, computing an “average” interval of first-order previsions, and updating the second-order p

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泛滥

Approximation of Belief Functions by Minimizing Euclidean Distancesunctions. The special case of Dempster-Shafer belief functions is considered in particular detail. It turns out that, in this case, an explicit solution by means of a projective transformation can be given. Furthermore, we also consider more general concepts of belief. We state that the approximatio

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Variants of Defining the Cardinalities of Fuzzy Setsof imprecise events. Fuzzy and nonfuzzy approaches to probabilities of events like “a ball drawn at random from an urn containing balls of various sizes is large” do require an appropriate notion of the cardinality of a fuzzy set, e.g. of the fuzzy set of large balls in an urn. Contemporary fuzzy se

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ascend

paroxysm

Independence and Conditioning in a Connectivistic Fuzzy Logic Frameworkms, then the equivalence between Fuzzy Logic’s and probabilistic spaces is proven when Frank’s t-norms are used. Dependence and independence between subsets are analysed under the light of the previous results, and gives rise to a new concept of dependence degree, as well as its possible use in uncertain reasoning schemes.

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Approximation of Belief Functions by Minimizing Euclidean Distancesn by means of minimizing the Euclidean distance, unlike other methods that are restricted to Dempster-Shafer belief, works as well. However, the projective transformation formula cannot necessarily be applied in these more general settings.

气候

Variants of Defining the Cardinalities of Fuzzy Setst cardinality theory offers a variety of options, including the use of triangular norms. This paper presents their overview encompassing scalar approaches as well as approaches in which cardinalities of fuzzy sets are themselves fuzzy sets of usual cardinals.