Extreme lower probabilities

被引：11

作者：

Quaeghebeur, Erik ^{[1
]}

de Cooman, Gert ^{[1
]}

机构：

[1] Univ Ghent, EESA Dept, SYSTeMS Res Grp, B-9052 Zwijnaarde, Belgium

来源：

FUZZY SETS AND SYSTEMS | 2008年 / 159卷 / 16期

关键词：

lower probabilities; extreme points; imprecise probabilities; non-additive measures; combinatorial problems;

D O I：

10.1016/j.fss.2007.11.020

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider lower probabilities on finite possibility spaces as models for the uncertainty about the state. These generalizations of classical probabilities can have some interesting properties; for example: k-monotonicity, avoiding sure loss, coherence, permutation invariance. The sets formed by all the lower probabilities satisfying zero or more of these properties are convex. We show how the extreme points and rays of these sets-the extreme lower probabilities-can be calculated and we give an illustration of our results. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：2163 / 2175

页数：13

共 50 条

[31] Structural Reliability Assessment with Fuzzy Probabilities
Beer, Michael
Zhang Mingqiang
Tong, Quek Ser
Ferson, Scott
ISIPTA '11 - PROCEEDINGS OF THE SEVENTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS, 2011, : 61 - 70
[32] Uncertain probabilities I: The discrete case
J. J. Buckley
E. Eslami
Soft Computing, 2003, 7 (8) : 500 - 505
[33] Concave integral with respect to imprecise probabilities
Li, Gang
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2012, 41 (07) : 683 - 695
[34] A Novel Bayes' Theorem for Upper Probabilities
Caprio, Michele
Sale, Yusuf
Huellermeier, Eyke
Lee, Insup
EPISTEMIC UNCERTAINTY IN ARTIFICIAL INTELLIGENCE, EPI UAI 2023, 2024, 14523 : 1 - 12
[35] Probabilistic Opinion Pooling with Imprecise Probabilities
Stewart, Rush T.
Quintana, Ignacio Ojea
JOURNAL OF PHILOSOPHICAL LOGIC, 2018, 47 (01) : 17 - 45
[36] Probabilistic Opinion Pooling with Imprecise Probabilities
Rush T. Stewart
Ignacio Ojea Quintana
Journal of Philosophical Logic, 2018, 47 : 17 - 45
[37] Uncertain probabilities I: the discrete case
Buckley, JJ
Eslami, E
SOFT COMPUTING, 2003, 7 (08) : 500 - 505
[38] Information algebras in the theory of imprecise probabilities
Casanova, Arianna
Kohlas, Juerg
Zaffalon, Marco
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2022, 142 : 383 - 416
[39] Comment: Moving Beyond Sets of Probabilities
Wheeler, Gregory
STATISTICAL SCIENCE, 2021, 36 (02) : 201 - 204
[40] Decision Making with Imprecise and Fuzzy Probabilities - a Comparison
Lossin, Sven-Hendrik
ISIPTA 05-PROCEEDINGS OF THE FOURTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITIES AND THEIR APPLICATIONS, 2005, : 222 - 229

← 1 2 3 4 5 →