Extending Dempster-Shafer Theory to Overcome Counter Intuitive Results

Campos, Fabio; Souza, Fernando Menezes Campello de

doi:10.1109/nlpke.2005.1598832

Cited by 5 publications

(6 citation statements)

References 7 publications

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“…The theory of evidence has been elaborated upon by a number of researchers [155,156,157,158,159,160,161], who have proposed original angles on the formalism [162,163,164,165] which later developed into proper frameworks [166,167,168,169,170,171]. We mention here a couple of significant examples.…”

Section: Framework and Approachesmentioning

confidence: 99%

Visions of a generalized probability theory

Cuzzolin

2018

Preprint

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La vera logica di questo mondo il calcolo delle probabilità ... Questa branca della matematica, che di solito viene ritenuta favorire il gioco d'azzardo, quello dei dadi e delle scommesse, e quindi estremamente immorale, è la sola 'matematica per uomini pratici', quali noi dovremmo essere. Ebbene, come la conoscenza umana deriva dai sensi in modo tale che l'esistenza delle cose esterne è inferita solo dall'armoniosa (ma non uguale) testimonianza dei diversi sensi, la comprensione, che agisce per mezzo delle leggi del corretto ragionamento, assegnerà a diverse verità (o fatti, o testimonianze, o comunque li si voglia chiamare) diversi gradi di probabilità."

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Section: Framework and Approachesmentioning

confidence: 99%

Visions of a generalized probability theory

Cuzzolin

2018

Preprint

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“…Given the training data (5), (6), EM clustering [27] provides a fast and reliable method to automatically build feature-pose maps that can eventually be used for example-based pose estimation. Consider the N sequences of feature…”

Section: Learning Feature-to-pose Mapsmentioning

confidence: 99%

“…In particular, work has been done on the issue of merging conflicting evidence [17,21,24,43], specially in critical situations in which the latter is derived from dependent sources [9]. Campos and de Souza [6] have presented a method for fusing highly conflicting evidence which overcomes well known counterintuitive results. Liu [25] has formally defined when two basic belief assignments are in conflict by means of quantitative measures of both the mass of the combined belief assigned to the emptyset before normalization, and the distance between betting commitments of beliefs.…”

Section: Introductionmentioning

confidence: 99%

An Algebraic Study of the Notion of Independence of Frames

Cuzzolin

2014

Advances in Computational Intelligence and Robotics

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In this paper we discuss the notion of independence of frames in the theory of evidence from an algebraic point of view, starting from an analogy with standard linear independence. Families of frames can be given several algebraic interpretations in terms of semi-modular lattices, matroids, and geometric lattices. Each of those structures are endowed with a particular (extended) independence relation, which we prove to be distinct albeit related to independence of frames.

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“…In particular, work has been done on the issue of merging conflicting evidence (Deutsch-McLeish, 1990;Josang et al, 2003;Lefevre et al, 2002;Wierman, 2001), especially in critical situations in which the latter is derived from dependent sources (Cattaneo, 2003). Campos and de Souza (2005) have presented a method for fusing highly conflicting evidence which overcomes well known counterintuitive results. Liu (2006) has formally defined when exactly two basic belief assignments are in conflict by means of quantitative measures of both the mass of the combined belief assigned to the empty set before normalization, and the distance between betting commitments of beliefs.…”

Section: Introductionmentioning

confidence: 99%

Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems

Chakraverty¹

2014

Advances in Computational Intelligence and Robotics

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In. the. chapter,. the. authors. consider. an. approach. used. in. the. studies. of. stochastic. fuzzy. differential. equations.. These. equations. are. new. mathematical. tools. for. modeling. uncertain. dynamical. systems.. Some.qualitative.properties.of.their.solutions.such.as.existence.and.uniqueness.are.recalled,.and.stability.properties.are.shown..Here,.the.solutions.are.continuous.adapted.fuzzy.stochastic.processes..The. authors.consider.some.examples.of.applications.of.stochastic.fuzzy.differential.equations.in.modeling. real-world.phenomena.

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Extending Dempster-Shafer Theory to Overcome Counter Intuitive Results

Cited by 5 publications

References 7 publications

Visions of a generalized probability theory

Visions of a generalized probability theory

An Algebraic Study of the Notion of Independence of Frames

Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems

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