This paper deals with the revision of partially ordered beliefs. It proposes a semantic representation of epistemic states by partial pre-orders on interpretations and a syntactic representation by partially ordered belief bases. Two revision operations, the revision stemming from the history of observations and the possibilistic revision, defined when the epistemic state is represented by a total pre-order, are generalized, at a semantic level, to the case of a partial pre-order on interpretations, and at a syntactic level, to the case of a partially ordered belief base. The equivalence between the two representations is shown for the two revision operations.
Centre for Artificial Intelligence Research(人工智能研究中心);CAIR(人工智能研究中心);University of KwaZulu-Natal(夸祖鲁-纳塔尔大学);CSIR Meraka(南非科学与工业研究理事会梅拉卡研究所);University of Cape Town(开普敦大学);University of Luxembourg(卢森堡大学)
Institute for Integrated and Intelligent Systems, Griffith University(格里菲斯大学集成与智能系统研究所);School of Computing Science, Simon Fraser University(西蒙弗雷泽大学计算科学学院);Department of Computing, Macquarie University(麦考瑞大学计算学系)
Inter Observer Variability Assessment through Ordered Weighted Belief Divergence Measure in MAGDM Application to the Ensemble Classifier Feature Fusion
Indian Institute of Technology Kharagpur(印度理工学院卡拉格普尔分校);School of Medical Science and Technology, Indian Institute of Technology Kharagpur(印度理工学院卡拉格普尔分校医学科学与技术学院)
System of Spheres-based Two Level Credibility-limited Revisions
Universidade da Madeira(马德拉大学);CIMA - Centro de Investigação em Matemática e Aplicações(数学与应用研究中心);NOVA Laboratory for Computer Science and Informatics (NOVA LINCS)(NOVA计算机科学与信息学实验室(NOVA LINCS))
MEDLEY-BENCH: Benchmarking Behavioural Metacognition and Belief Revision Under Social Pressure in Large Language Models
Department of Clinical Science, Intervention and Technology (CLINTEC), Karolinska Institutet(临床科学、干预与技术部门(CLINTEC),Karolinska研究所);Department of Clinical Physiology, Karolinska University Hospital(临床生理学部门,Karolinska大学医院);Department of Biomedical Engineering and Health Systems, KTH Royal Institute of Technology(生物医学工程与健康系统部门,KTH皇家理工学院);Department of Textile Technology, University of Borås(纺织技术部门,Borås大学);Department of Medical Technologies, Karolinska University Hospital(医学技术部门,Karolinska大学医院)
A Distance Measure for Random Permutation Set: From the Layer-2 Belief Structure Perspective
Institute of Fundamental and Frontier Science(基础与前沿科学研究院);University of Electronic Science and Technology of China(电子科学与技术大学);Andalusian Research Institute in Data Science and Computational Intelligence(数据科学与计算智能安达卢西亚研究所);Dept. of Computer Science and AI, University of Granada(计算机科学与人工智能系,格拉纳达大学);School of Medicine(医学院);Vanderbilt University(范德比大学);Computer Science and Artificial Intelligence, University of Granada(计算机科学与人工智能,格拉纳达大学)