Abstract
In this paper, quotient probability is presented in order to integrate quotient space theory and probability theory . Quotient probability can be updated basing on quotient spaces fusion caused by different equivalence relations. Distance between different quotient probabilities basing on corresponding grain-sized quotient spaces can reflect different granularity relation, namely the distance value is zero under the condition of consistency information for different equivalence relations, or is positive under the condition of inconsistency information for different equivalence relations.
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Fang, Hb. (2007). Integrating Probability and Quotient Space Theory: Quotient Probability. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_28
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DOI: https://doi.org/10.1007/978-3-540-71441-5_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71440-8
Online ISBN: 978-3-540-71441-5
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