New PDF release: Belief Functions in Business Decisions

By Rajendra P. Srivastava, Theodore J. Mock

ISBN-10: 3790817988

ISBN-13: 9783790817980

ISBN-10: 3790825034

ISBN-13: 9783790825039

The ebook specializes in purposes of trust services to company judgements. part I introduces the intuitive, conceptual and historic improvement of trust services. 3 assorted interpretations (the marginally right approximation, the qualitative version, and the quantitative version) of trust services are investigated, and tough set thought and based question language (SQL) are used to specific trust functionality semantics. part II provides functions of trust capabilities in details platforms and auditing. incorporated are discussions on how a belief-function framework presents a extra effective and powerful audit technique and likewise the appropriateness of trust features to symbolize uncertainties in audit facts. The 3rd part offers with purposes of trust features to mergers and acquisitions; monetary research of engineering businesses; forecast call for for cellular satellite tv for pc companies; modeling monetary portfolios; and economics.

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Extra resources for Belief Functions in Business Decisions

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In the above notation, bel can be replaced by any of rn, pl, q, b, etc ... The indices should made it dear what the links are. So rn~:~[ECy,tl and pl~:~ [ECY,t] are the bba and the plausibility function related to bel~:~[ECy,tl. (A) II (bel°) {po: pO(A) S; plo(A), VA ~ n} lIebeln) {po: bdl(A) S; pfl(A) ::; pZfl(A), VA ~ n} The three definitions are equivalent. lIebeln) and bel fl are in one-to-one correspondenee. We eall lI(bel fl ) the set of probability functions eompatible with beln. 4 The belief function kinematic Let n be a frame of diseernment and beln be a belief function on n.

Its nature and justification is detailed in section 5. ssignment receives a natural interpretation. , that the aetual world Wo belongs to A, and that, due to laek of information, does not support any strict subset of A. U some further of evidence become available to You and You accept them as valid, and if their only impact; on n is that they imply that the actual world Wo does not belong to then the mass m(A) initially allocated to A is transferred to An B. f so that mass m(A) is transferred to An B (hence the name of the model).

0 26 Suppose Your beliefs on H are represented by the probability function pR. We propose the next definition: 1. the 'factual revision on f' is the process that transforms pR into pR[fJ, 2. Ie). They eorrespond to the 'given facts' and the 'conditioning' processes, respectively. The value of le) is obtained by Bayes' rule of conditioning. The value of pII[J], as such, is still to be defined. s. A Bayesian probabilist is then defined as a personalist probabilist who accepts the dynamic assumption.

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Belief Functions in Business Decisions by Rajendra P. Srivastava, Theodore J. Mock

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