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Relative Plausibility and its Critics
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resolves10.2139/ssrn.2636469
Trial by Traditional Probability, Relative Plausibility, or Belief Function?
The 33 references without a DOI — listed, not checked
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no DOI — not checkedNance suggests that the standards themselves may convey to jurors to engage in such adjustments, for example, in determining whether a doubt is "reasonable" in criminal cases. Id at 42-43 n. 88. For a rejection of this interpretation, see Federico Picinali, Two Meanings of 'Reasonableness': Dispelling the 'Floating' Reasonable Doubt
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no DOI — not checkedOn fuzzy sets, see L.A. Zadeh, Fuzzy Sets
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no DOI — not checkedspecifying how American law should answer the ubiquitous question of what it should tell its decisionmakers about the required level of sureness in making their decision"); at 185 ("fuzzy logic is the tool that will minimize errors in legal factfinding."). Our discussion pursues the question whether Prof. Clermont's invocation of fuzzy sets and belief functions are appropriate and intelligible
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no DOI — not checkedComputational Intelligence Techniques
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no DOI — not checkedThe chance of a tall smart Tom according to the product rule is 0.12"). This is incorrect. The "numbers" in fuzzy logic are not precise equivalents to numbers on the number line. There is work being done to define arithmetic operations on member statements, but these results bear no relationship to Prof. Clermont's discussion
no DOI — not checkedComparison of Fuzzy Multiplication Operation on Triangular Fuzzy Number
no DOI — not checkedThe Canonical Representation of Multiplication Operation on Triangular Fuzzy Numbers
no DOI — not checkedMembership Functions and Probability Measures of Fuzzy Sets
no DOI — not checked391 which is another way of saying that the evidence may leave some residual doubt about the matter in question. Here we entirely agree with Prof. Clermont, for reasons we have discussed in detail above, that beliefs need not add up to 1.0. 392 What might be called an absolute probability, or a probability conditioned on all conceivable evidence, is not the standard for proof at trial. The evidence at trial hardly ever-and probably never-gives a complete picture of all the alternative ways that the world might have been the day in question, and thus it is correct, as we have argued
no DOI — not checkedIn order to separate his view from ours, 393 he asserts that juridical proof involves the element-byelement comparison of the plaintiff's case with its negation, conceptualized in terms of "belief functions" in which the belief in the element and belief in its negation need to not sum to one. 394 By making the relevant comparison element by element
no DOI — not checkeda basic belief assignment-bba's, or mass of belief) of 0.99; or meningitis, with a probability of only 0.01. A second doctor believes the patient has a concussion, with a probability of 0.99, and believes the patient suffers from meningitis, with a probability of only 0.01. Applying Dempster's rule to combine these two sets of masses of belief
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no DOI — not checkedThe mathematical theory of belief functions proves an alternative superior to
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