Decision-making with belief functions and pignistic probabilities

Nic Wilson

doi:10.1007/bfb0028222

Decision-making with belief functions and pignistic probabilities

Nic Wilson

Queen Mary University of London

Research output: Chapter in Book/Report/Conference proceedings › Conference proceeding › peer-review

Abstract

The paper discusses the different approaches to decision-making using Belief Functions. In particular, I describe Philippe Smets’ method of decisionmaking, which transforms a Belief Function into a single probability function, the pignistic probability function. This transformation is sensitive to the choice of frame of discernment, which is often, to a large extent, arbitrary. It thus seems natural to consider all refinements of a frame of discernment and their associated pignistic probability functions and decisions. The main result of the paper is that this is equivalent to the standard approach.

Original language	English
Title of host publication	Symbolic and Quantitative Approaches to Reasoning and Uncertainty - European Conference ECSQARU 1993, Proceedings
Editors	Michael Clarke, Rudolf Kruse, Serafin Moral
Publisher	Springer Verlag
Pages	364-371
Number of pages	8
ISBN (Print)	9783540573951
DOIs	https://doi.org/10.1007/bfb0028222
Publication status	Published - 1993
Externally published	Yes
Event	European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty, ECSQARU 1993 - Granada, Spain Duration: 8 Nov 1993 → 10 Nov 1993

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	747 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty, ECSQARU 1993
Country/Territory	Spain
City	Granada
Period	8/11/93 → 10/11/93

Access to Document

10.1007/bfb0028222

Cite this

Wilson, N. (1993). Decision-making with belief functions and pignistic probabilities. In M. Clarke, R. Kruse, & S. Moral (Eds.), Symbolic and Quantitative Approaches to Reasoning and Uncertainty - European Conference ECSQARU 1993, Proceedings (pp. 364-371). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 747 LNCS). Springer Verlag. https://doi.org/10.1007/bfb0028222

Wilson, Nic. / Decision-making with belief functions and pignistic probabilities. Symbolic and Quantitative Approaches to Reasoning and Uncertainty - European Conference ECSQARU 1993, Proceedings. editor / Michael Clarke ; Rudolf Kruse ; Serafin Moral. Springer Verlag, 1993. pp. 364-371 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{a7c60464b5cb4daeb8468e4e311c35f7,

title = "Decision-making with belief functions and pignistic probabilities",

abstract = "The paper discusses the different approaches to decision-making using Belief Functions. In particular, I describe Philippe Smets{\textquoteright} method of decisionmaking, which transforms a Belief Function into a single probability function, the pignistic probability function. This transformation is sensitive to the choice of frame of discernment, which is often, to a large extent, arbitrary. It thus seems natural to consider all refinements of a frame of discernment and their associated pignistic probability functions and decisions. The main result of the paper is that this is equivalent to the standard approach.",

author = "Nic Wilson",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1993.; European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty, ECSQARU 1993 ; Conference date: 08-11-1993 Through 10-11-1993",

year = "1993",

doi = "10.1007/bfb0028222",

language = "English",

isbn = "9783540573951",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "364--371",

editor = "Michael Clarke and Rudolf Kruse and Serafin Moral",

booktitle = "Symbolic and Quantitative Approaches to Reasoning and Uncertainty - European Conference ECSQARU 1993, Proceedings",

address = "Germany",

}

Wilson, N 1993, Decision-making with belief functions and pignistic probabilities. in M Clarke, R Kruse & S Moral (eds), Symbolic and Quantitative Approaches to Reasoning and Uncertainty - European Conference ECSQARU 1993, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 747 LNCS, Springer Verlag, pp. 364-371, European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty, ECSQARU 1993, Granada, Spain, 8/11/93. https://doi.org/10.1007/bfb0028222

Decision-making with belief functions and pignistic probabilities. / Wilson, Nic.
Symbolic and Quantitative Approaches to Reasoning and Uncertainty - European Conference ECSQARU 1993, Proceedings. ed. / Michael Clarke; Rudolf Kruse; Serafin Moral. Springer Verlag, 1993. p. 364-371 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 747 LNCS).

Research output: Chapter in Book/Report/Conference proceedings › Conference proceeding › peer-review

TY - GEN

T1 - Decision-making with belief functions and pignistic probabilities

AU - Wilson, Nic

N1 - Publisher Copyright: © Springer-Verlag Berlin Heidelberg 1993.

PY - 1993

Y1 - 1993

N2 - The paper discusses the different approaches to decision-making using Belief Functions. In particular, I describe Philippe Smets’ method of decisionmaking, which transforms a Belief Function into a single probability function, the pignistic probability function. This transformation is sensitive to the choice of frame of discernment, which is often, to a large extent, arbitrary. It thus seems natural to consider all refinements of a frame of discernment and their associated pignistic probability functions and decisions. The main result of the paper is that this is equivalent to the standard approach.

AB - The paper discusses the different approaches to decision-making using Belief Functions. In particular, I describe Philippe Smets’ method of decisionmaking, which transforms a Belief Function into a single probability function, the pignistic probability function. This transformation is sensitive to the choice of frame of discernment, which is often, to a large extent, arbitrary. It thus seems natural to consider all refinements of a frame of discernment and their associated pignistic probability functions and decisions. The main result of the paper is that this is equivalent to the standard approach.

UR - https://www.scopus.com/pages/publications/84983187505

U2 - 10.1007/bfb0028222

DO - 10.1007/bfb0028222

M3 - Conference proceeding

AN - SCOPUS:84983187505

SN - 9783540573951

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 364

EP - 371

BT - Symbolic and Quantitative Approaches to Reasoning and Uncertainty - European Conference ECSQARU 1993, Proceedings

A2 - Clarke, Michael

A2 - Kruse, Rudolf

A2 - Moral, Serafin

PB - Springer Verlag

T2 - European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty, ECSQARU 1993

Y2 - 8 November 1993 through 10 November 1993

ER -

Wilson N. Decision-making with belief functions and pignistic probabilities. In Clarke M, Kruse R, Moral S, editors, Symbolic and Quantitative Approaches to Reasoning and Uncertainty - European Conference ECSQARU 1993, Proceedings. Springer Verlag. 1993. p. 364-371. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/bfb0028222

Decision-making with belief functions and pignistic probabilities

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this