Abstract
In this paper a new approach to a conditional probability is studied in more general structure called a D-poset. The authors go into the inner structure of a conditional system which is a crucial notion for the existence of a conditional state. An independence of elements in a D-poset with respect to a state is defined.
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Acknowledgments
This work has been partially supported by the Slovak Academy of Sciences via the project Center of Excellence, Physics of Information, by the grant I/2/2005 and grants APVV-0071-06, APVV-0375-06 and VEGA 1/4024/07.
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K. František is deceased.
An erratum to this article can be found at http://dx.doi.org/10.1007/s00500-009-0522-1
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Ferdinand, C., Eva, D., František, K. et al. Conditional states and independence in D-posets. Soft Comput 14, 1027–1034 (2010). https://doi.org/10.1007/s00500-009-0487-0
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DOI: https://doi.org/10.1007/s00500-009-0487-0