有限概率一致性的有序可信度对比语义

Q1 Mathematics
Paul Snow
{"title":"有限概率一致性的有序可信度对比语义","authors":"Paul Snow","doi":"10.1016/j.jal.2016.11.029","DOIUrl":null,"url":null,"abstract":"<div><p>De Finetti's 1949 ordinal probability conjecture sparked enduring interest in intuitively meaningful necessary and sufficient conditions for orderings of finite propositional domains to agree with probability distributions. This paper motivates probabilistic ordering from subjective estimates of credibility contrasts revealed when ordered propositions are not monotonically related (e.g., <em>A</em> or <span><math><mi>B</mi><mo>&gt;</mo><mi>C</mi></math></span> or <em>D</em>, but <span><math><mi>D</mi><mo>&gt;</mo><mi>B</mi></math></span>) and when a portfolio of prospects is accepted as preferable to alternatives despite not dominating them. The estimated contrast primitive offers a gambling-free, psychologically grounded foundation for treating individual instances and multisets of propositions as credally interchangeable with disjunctions and multisets of their constituent atomic propositions.</p></div>","PeriodicalId":54881,"journal":{"name":"Journal of Applied Logic","volume":"22 ","pages":"Pages 14-27"},"PeriodicalIF":0.0000,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jal.2016.11.029","citationCount":"1","resultStr":"{\"title\":\"An ordered credibility contrast semantics for finite probability agreement\",\"authors\":\"Paul Snow\",\"doi\":\"10.1016/j.jal.2016.11.029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>De Finetti's 1949 ordinal probability conjecture sparked enduring interest in intuitively meaningful necessary and sufficient conditions for orderings of finite propositional domains to agree with probability distributions. This paper motivates probabilistic ordering from subjective estimates of credibility contrasts revealed when ordered propositions are not monotonically related (e.g., <em>A</em> or <span><math><mi>B</mi><mo>&gt;</mo><mi>C</mi></math></span> or <em>D</em>, but <span><math><mi>D</mi><mo>&gt;</mo><mi>B</mi></math></span>) and when a portfolio of prospects is accepted as preferable to alternatives despite not dominating them. The estimated contrast primitive offers a gambling-free, psychologically grounded foundation for treating individual instances and multisets of propositions as credally interchangeable with disjunctions and multisets of their constituent atomic propositions.</p></div>\",\"PeriodicalId\":54881,\"journal\":{\"name\":\"Journal of Applied Logic\",\"volume\":\"22 \",\"pages\":\"Pages 14-27\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jal.2016.11.029\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1570868316300866\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Logic","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1570868316300866","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1

摘要

De Finetti 1949年的序数概率猜想激发了人们对有限命题域的排序符合概率分布的直观意义的充分必要条件的持久兴趣。当有序命题不是单调相关时(例如,A或B>C或D,但D>B),以及当前景组合被接受为优于替代方案时,本文激发了对可信度对比的主观估计的概率排序。估计对比原语为将个体实例和多组命题与它们组成的原子命题的断续和多组命题在信用上可互换提供了一个无赌博的、基于心理的基础。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An ordered credibility contrast semantics for finite probability agreement

De Finetti's 1949 ordinal probability conjecture sparked enduring interest in intuitively meaningful necessary and sufficient conditions for orderings of finite propositional domains to agree with probability distributions. This paper motivates probabilistic ordering from subjective estimates of credibility contrasts revealed when ordered propositions are not monotonically related (e.g., A or B>C or D, but D>B) and when a portfolio of prospects is accepted as preferable to alternatives despite not dominating them. The estimated contrast primitive offers a gambling-free, psychologically grounded foundation for treating individual instances and multisets of propositions as credally interchangeable with disjunctions and multisets of their constituent atomic propositions.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Journal of Applied Logic
Journal of Applied Logic COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE-COMPUTER SCIENCE, THEORY & METHODS
CiteScore
1.13
自引率
0.00%
发文量
0
审稿时长
>12 weeks
期刊介绍: Cessation.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信