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Entropy 2017, 19(7), 291; doi:10.3390/e19070291

Entropic Measure of Epistemic Uncertainties in Multibody System Models by Axiomatic Design

Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II 132, Fisciano 84084, Italy
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Academic Editor: Carlo Cattani
Received: 14 May 2017 / Revised: 12 June 2017 / Accepted: 15 June 2017 / Published: 26 June 2017
(This article belongs to the Special Issue Wavelets, Fractals and Information Theory III)
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Abstract

In this paper, the use of the MaxInf Principle in real optimization problems is investigated for engineering applications, where the current design solution is actually an engineering approximation. In industrial manufacturing, multibody system simulations can be used to develop new machines and mechanisms by using virtual prototyping, where an axiomatic design can be employed to analyze the independence of elements and the complexity of connections forming a general mechanical system. In the classic theories of Fisher and Wiener-Shannon, the idea of information is a measure of only probabilistic and repetitive events. However, this idea is broader than the probability alone field. Thus, the Wiener-Shannon’s axioms can be extended to non-probabilistic events and it is possible to introduce a theory of information for non-repetitive events as a measure of the reliability of data for complex mechanical systems. To this end, one can devise engineering solutions consistent with the values of the design constraints analyzing the complexity of the relation matrix and using the idea of information in the metric space. The final solution gives the entropic measure of epistemic uncertainties which can be used in multibody system models, analyzed with an axiomatic design. View Full-Text
Keywords: axiomatic design; axioms; information; non-probabilistic entropy; Arrow’s impossibility theorem; multibody systems axiomatic design; axioms; information; non-probabilistic entropy; Arrow’s impossibility theorem; multibody systems
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Villecco, F.; Pellegrino, A. Entropic Measure of Epistemic Uncertainties in Multibody System Models by Axiomatic Design. Entropy 2017, 19, 291.

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