A prototype theory interpretation of the label semantics framework is proposed as a possible model of imprecise descriptions of real numbers. It is shown that within this framework conditioning given imprecise descriptions of a real variable naturally results in imprecise probabilities. An inference method is proposed from data in the form of a set of imprecise descriptions, which naturally suggests an algorithm for estimating lower and upper probabilities given imprecise data values.
Keywords. Label Semantics, Prototype Theory, Random Sets, Lower and Upper Distributions, Second Order Distributions
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Authors addresses:
Jonathan Lawry
Dept. Engineering Mathematics,
University of Bristol,
Bristol, BS8 1TR
Ines Gonzalez-Rodriguez
Dept. Maths, Stats and Compt.
University of Cantabria
Santander
Yongchuan Tang
College of Computer Science
Zhejiang University
Hangzhou 310027
E-mail addresses:
| Jonathan Lawry | j.lawry@bristol.ac.uk |
| Ines Gonzalez-Rodriguez | ines.gonzalez@unican.es |
| Yongchuan Tang | tyongchuan@gmail.com |