Dempster-Shafer models for object recognition and classification.

*(English)*Zbl 1096.62065Summary: We consider situations in which each individual member of a defined object set is characterized uniquely by a set of variables, and we propose models and associated methods that ‘recognize’ or ‘classify’ a newly observed individual. Inputs consist of uncertain observations on the new individual and on a memory bank of previously identified individuals. Outputs consist of uncertain inferences concerning degrees of agreement between the new object and previously identified objects or object classes, with inferences represented by Dempster-Shafer belief functions.

We illustrate the approach using models constructed from independent simple support belief functions defined on binary variables. In the case of object recognition, our models lead to marginal belief functions concerning how well the new object matches objects in memory. In the classification model, we compute beliefs and plausibilities that the new object lies in defined subsets of an object set. When regarded as similarity measures, our belief and plausibility functions can be interpreted as candidate membership functions in the terminology of fuzzy logic.

We illustrate the approach using models constructed from independent simple support belief functions defined on binary variables. In the case of object recognition, our models lead to marginal belief functions concerning how well the new object matches objects in memory. In the classification model, we compute beliefs and plausibilities that the new object lies in defined subsets of an object set. When regarded as similarity measures, our belief and plausibility functions can be interpreted as candidate membership functions in the terminology of fuzzy logic.

##### MSC:

62H30 | Classification and discrimination; cluster analysis (statistical aspects) |

68T10 | Pattern recognition, speech recognition |

65C60 | Computational problems in statistics (MSC2010) |

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\textit{A. P. Dempster} and \textit{W. F. Chiu}, Int. J. Intell. Syst. 21, No. 3, 283--297 (2006; Zbl 1096.62065)

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