| Authors: | Ikodinović, Nebojša Ognjanović, Zoran Perović, Aleksandar Rašković, Miodrag |
Title: | Hierarchies of probabilistic logics | Journal: | International Journal of Approximate Reasoning | Volume: | 55 | Issue: | 9 | First page: | 1830 | Last page: | 1842 | Issue Date: | 1-Jan-2014 | Rank: | M21 | ISSN: | 0888-613X | DOI: | 10.1016/j.ijar.2014.03.006 | Abstract: | Our aim is to present what we call the lower and the upper hierarchy of the real valued probability logics with probability operators of the form P≥s and QF, where s∈[0,1]Q=[0,1] Q and F is a recursive subset of [0,1]Q. The intended meaning of P≥sα is that the probability of α is at least s, while the intended meaning of QFα is that the probability of α is in F. |
Keywords: | Completeness theorems | Definability of probability operators | Hierarchy of probability logics | Probability logic | Publisher: | Elsevier | Project: | Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education Environment management system framework respect to aircraft engine emissions and risk of aircraft accidents around airports in Serbia Serbian Ministry of Education and Science, grant no. III041103 Serbian Ministry of Education and Science, grant no. ON174062 |
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