A logico-geometric comparison of coherence for non-additive uncertainty measures

被引：1
作者：
Corsi, Esther Anna [1 ]
Flaminio, Tommaso [2 ]
Hosni, Hykel [1 ]
机构：
[1] Univ Milan, Dept Philosophy, LUCI Grp, Milan, Italy
[2] Artificial Intelligence Res Inst, IIIA Spanish Natl Res Council, CSIC, Bellaterra, Spain
来源：
ANNALS OF PURE AND APPLIED LOGIC | 2024年 / 175卷 / 09期
关键词：
Coherence; Probability logic; Belief functions; Lower probability; BELIEF FUNCTIONS;
D O I：
10.1016/j.apal.2023.103342
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the notion of coherence for (non-)additive uncertainty measures from a logico-geometric point of view. Our main result is to the effect that distinct criteria for coherence are not always matched by axiomatically distinct measures of uncertainty. In addition we introduce a metalogic within which this kind of result can be captured formally. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
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页数：27
相关论文
共 58 条
[1]   INFINITELY SUBADDITIVE CAPACITIES AS UPPER ENVELOPES OF MEASURES [J].
ANGER, B ;
LEMBCKE, J .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1985, 68 (03) :403-414
[2]  
Augustin T, 2014, WILEY SER PROBAB ST, P135
[3]  
Bingham N., 2010, Electron. J. Hist. Probab. Stat., V6
[4]  
BLOK WJ, 1989, MEM AM MATH SOC, V77, P1
[5]  
Cignoli R., 2000, ALGEBRAIC FDN MANY V, V7
[6]  
Cori R., 1994, Mathematical Logic
[7]  
Cori R., 2000, Mathematical Logic: Part 1: Propositional Calculus, Boolean Algebras, Predicate Calculus, Completeness Theorems
[8]  
Corsi EA, 2021, PR MACH LEARN RES, V147, P83
[9]   Scoring Rules for Belief Functions and Imprecise Probabilities: A Comparison [J].
Corsi, Esther Anna ;
Flaminio, Tommaso ;
Hosni, Hykel .
SYMBOLIC AND QUANTITATIVE APPROACHES TO REASONING WITH UNCERTAINTY, ECSQARU 2021, 2021, 12897 :301-313
[10]   Extreme lower previsions [J].
De Bock, Jasper ;
De Cooman, Gert .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 421 (02) :1042-1080
123456