Abstract
| Original language | English |
|---|---|
| Title of host publication | Knowledge Science, Engineering and Management |
| Editors | Songmao Zhang, Martin Wirsing, Zili Zhang |
| Place of Publication | Switzerland |
| Publisher | Springer Verlag |
| Pages | 128-140 |
| Volume | 9403 |
| ISBN (Print) | Online: 978-3-319-25159-2, Print: 978-3-319-25158-5 |
| DOIs | |
| Publication status | Published - 3 Nov 2015 |
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Bibliographical note
There is no full text available.Cite this
Rational Partial Choice Functions and Their Application to Belief Revision. / Ma, Jianbing; Liu, W.; Dubois, D.
Knowledge Science, Engineering and Management. ed. / Songmao Zhang; Martin Wirsing; Zili Zhang. Vol. 9403 Switzerland : Springer Verlag, 2015. p. 128-140.Research output: Chapter in Book/Report/Conference proceeding › Chapter
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TY - CHAP
T1 - Rational Partial Choice Functions and Their Application to Belief Revision
AU - Ma, Jianbing
AU - Liu, W.
AU - Dubois, D.
N1 - There is no full text available.
PY - 2015/11/3
Y1 - 2015/11/3
N2 - Necessary and sufficient conditions for choice functions to be rational have been intensively studied in the past. However, in these attempts, a choice function is completely specified. That is, given any subset of options, called an issue, the best option over that issue is always known, whilst in real-world scenarios, it is very often that only a few choices are known instead of all. In this paper, we study partial choice functions and investigate necessary and sufficient rationality conditions for situations where only a few choices are known. We prove that our necessary and sufficient condition for partial choice functions boils down to the necessary and sufficient conditions for complete choice functions proposed in the literature. Choice functions have been instrumental in belief revision theory. That is, in most approaches to belief revision, the problem studied can simply be described as the choice of possible worlds compatible with the input information, given an agent’s prior belief state. The main effort has been to devise strategies in order to infer the agents revised belief state. Our study considers the converse problem: given a collection of input information items and their corresponding revision results (as provided by an agent), does there exist a rational revision operation used by the agent and a consistent belief state that may explain the observed results?
AB - Necessary and sufficient conditions for choice functions to be rational have been intensively studied in the past. However, in these attempts, a choice function is completely specified. That is, given any subset of options, called an issue, the best option over that issue is always known, whilst in real-world scenarios, it is very often that only a few choices are known instead of all. In this paper, we study partial choice functions and investigate necessary and sufficient rationality conditions for situations where only a few choices are known. We prove that our necessary and sufficient condition for partial choice functions boils down to the necessary and sufficient conditions for complete choice functions proposed in the literature. Choice functions have been instrumental in belief revision theory. That is, in most approaches to belief revision, the problem studied can simply be described as the choice of possible worlds compatible with the input information, given an agent’s prior belief state. The main effort has been to devise strategies in order to infer the agents revised belief state. Our study considers the converse problem: given a collection of input information items and their corresponding revision results (as provided by an agent), does there exist a rational revision operation used by the agent and a consistent belief state that may explain the observed results?
U2 - 10.1007/978-3-319-25159-2_11
DO - 10.1007/978-3-319-25159-2_11
M3 - Chapter
SN - Online: 978-3-319-25159-2
SN - Print: 978-3-319-25158-5
VL - 9403
SP - 128
EP - 140
BT - Knowledge Science, Engineering and Management
A2 - Zhang, Songmao
A2 - Wirsing, Martin
A2 - Zhang, Zili
PB - Springer Verlag
CY - Switzerland
ER -