Freedom: A Measure of Second-order Uncertainty for Intervalic Probability Schemes

03/27/2013
by   Michael Smithson, et al.
0

This paper discusses a new measure that is adaptable to certain intervalic probability frameworks, possibility theory, and belief theory. As such, it has the potential for wide use in knowledge engineering, expert systems, and related problems in the human sciences. This measure (denoted here by F) has been introduced in Smithson (1988) and is more formally discussed in Smithson (1989a)o Here, I propose to outline the conceptual basis for F and compare its properties with other measures of second-order uncertainty. I will argue that F is an indicator of nonspecificity or alternatively, of freedom, as distinguished from either ambiguity or vagueness.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 5

page 6

page 7

page 8

04/14/2021

Uncertainty measures: The big picture

Probability theory is far from being the most general mathematical theor...
03/06/2013

Qualitative Measures of Ambiguity

This paper introduces a qualitative measure of ambiguity and analyses it...
03/27/2013

Updating with Belief Functions, Ordinal Conditioning Functions and Possibility Measures

This paper discusses how a measure of uncertainty representing a state o...
07/24/2020

The TR-BDF2 method for second order problems in structural mechanics

The application of the TR-BDF2 method to second order problems typical o...
01/08/2021

Iterative Rational Krylov Algorithms for model reduction of a class of constrained structural dynamic system with Engineering applications

This paper discusses model order reduction of large sparse second-order ...
11/24/2020

Uncertainty Quantification by Random Measures and Fields

We present a general framework for uncertainty quantification that is a ...
05/16/2021

Uncertainty Measurement of Basic Probability Assignment Integrity Based on Approximate Entropy in Evidence Theory

Evidence theory is that the extension of probability can better deal wit...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.