Title: Integrating Probability and Quotient Space Theory: Quotient Probability
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 dif...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.Read More