###
ISIPTA'09 -
SIXTH INTERNATIONAL SYMPOSIUM ON

IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS

###
Durham University, Department of Mathematical Sciences

Durham, United Kingdom

Tuesday 14 to Saturday 18 July 2009

## ELECTRONIC PROCEEDINGS

## Jonathan Lawry, Ines Gonzalez-Rodriguez, Yongchuan Tang

# Imprecise Probabilities from Imprecise Descriptions of Real Numbers

### Abstract

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

** Paper Download **

The paper is availabe in the following formats:

**Plenary talk **:
Press here to get the file of the presentation.

** 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: **

[ back
to the Proceedings of ISIPTA'09 home page ]

Send any remarks to the following address:
smc@decsai.ugr.es