Estimation &amp; Recognition under Perspective of Random-Fuzzy Dual Interpretation of Unknown Quantity: with Demonstration of IMM Filter

Mei, Wei; Xu, Yunfeng; Liu, Limin

doi:10.48550/arxiv.2110.10572

Cited by 1 publication

(5 citation statements)

References 42 publications

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“…This work is to reexamine the problem of probabilitypossibility transformation, but under the perspective of random-fuzzy dual interpretation of unknown uncertainty. For typical tasks of uncertain inference, such as estimation or recognition, the uncertainty handled is in fact unknown uncertainty that could be inferred or estimated by using available prior information and observations [7]. The dual interpretation says that the unknown uncertainty being handled could be interpreted as either randomness or fuzziness, depending on the available prior information and the perspective of cognition and modeling [7].…”

Section: Clear Boundary Between Non-exclusive Outcomesmentioning

confidence: 99%

“…For typical tasks of uncertain inference, such as estimation or recognition, the uncertainty handled is in fact unknown uncertainty that could be inferred or estimated by using available prior information and observations [7]. The dual interpretation says that the unknown uncertainty being handled could be interpreted as either randomness or fuzziness, depending on the available prior information and the perspective of cognition and modeling [7]. Though it does exist that in a certain situation one kind of interpretation is more reasonable than another kind of interpretation.…”

Section: Clear Boundary Between Non-exclusive Outcomesmentioning

confidence: 99%

“…Remark: Uncertain variable can be modeled as either random variable or fuzzy variable depending on the available prior information [7].…”

Section: Unknown Uncertainty and Uncertain Variablementioning

confidence: 99%

“…For the task of uncertain inference, interpretation of the uncertainty carried by the unknown quantity relies on the available prior information and the perspective of cognition and modeling [7]. For radar target recognition, e.g., the uncertainty of the unknown target type can be interpreted as either randomness or fuzziness.…”

Section: The Dual Interpretation Of Unknown Uncertaintymentioning

confidence: 99%

“…As an alternative method to fuzzy sets for handling fuzzy uncertainty, possibility theory has in recent decades received extensive attention [1][2][3][4][5][6][7][8][9][10][11][12][44][45][46]. It was lately demonstrated that probability and possibility are customized for the measure of randomness and fuzziness, respectively [6].…”

Section: Introductionmentioning

confidence: 99%

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Probability-Possibility Transformation under Perspective of Random-fuzzy Dual Interpretation of Unknown Uncertainty

Mei¹,

Li²,

Xu³

et al. 2022

Preprint

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Information-preservation is recognized as the only principle for probability-possibility transformation in this work and the normalized transformation is the right method. This is based on the viewpoint that the reason we can transfer probability and possibility is that we believe the uncertainty being handled can be information-equivalently described by both probability and possibility. That viewpoint is endorsed by the random-fuzzy dual interpretation of unknown uncertainty, which says that unknown uncertainty being estimated could be interpreted as either randomness or fuzziness, depending on the available prior information and the perspective of cognition and modeling. Information of uncertain variable is defined in this work as its distribution. The suggested information-preservation principle is different from Klir’s principle, which is in fact an entropy-preservation principle. Then we investigated the problem of information preservation and propagation in parallel probability-possibility systems. By parallel, we mean the two uncertainty systems have the same priori information. After uncertainty propagation the two parallel systems will generally bifurcate, which means information preservation only holds locally between the two parallel systems. This observation accords with our intuition since probability and possibility use different normalizations as well as different disjunctive operators, which makes them two different uncertainty systems appropriate for randomness and fuzziness, respectively.

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Section: Clear Boundary Between Non-exclusive Outcomesmentioning

confidence: 99%

Section: Clear Boundary Between Non-exclusive Outcomesmentioning

confidence: 99%

“…Remark: Uncertain variable can be modeled as either random variable or fuzzy variable depending on the available prior information [7].…”

Section: Unknown Uncertainty and Uncertain Variablementioning

confidence: 99%

Section: The Dual Interpretation Of Unknown Uncertaintymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Probability-Possibility Transformation under Perspective of Random-fuzzy Dual Interpretation of Unknown Uncertainty

Mei¹,

Li²,

Xu³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Estimation & Recognition under Perspective of Random-Fuzzy Dual Interpretation of Unknown Quantity: with Demonstration of IMM Filter

Cited by 1 publication

References 42 publications

Probability-Possibility Transformation under Perspective of Random-fuzzy Dual Interpretation of Unknown Uncertainty

Probability-Possibility Transformation under Perspective of Random-fuzzy Dual Interpretation of Unknown Uncertainty

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