background breast cancer (bc) is the most common cancer in iranian women. studying the mortality statistics is important to monitor the effects of screening programs or the influence of earlier diagnosis on the burden of this chronic disease. misclassification is still a problem in the iranian death registry data and about 20% of death statistics are recorded in misclassified categories. object...

MOTTO: " It is a capital mistake to theorise before one has data " Sherlock Holms In: A Scandal in Bohemia Abstract. Rough set theory offers new perspective on Bayes' theorem. The look on Bayes' theorem offered by rough set theory reveals that any data set (decision table) satisfies total probability theorem and Bayes' theorem. These properties can be used directly to draw conclusions from obje...

Rough set theory offers new perspective on Bayes’ theorem. The look on Bayes’ theorem offered by rough set theory reveals that any data set (decision table) satisfies the total probability theorem and Bayes’ theorem. These properties can be used directly to draw conclusions from objective data without referring to subjective prior knowledge and its revision if new evidence is available. Thus, t...

Rough set theory is a new approach to vagueness and uncertainty. The theory of rough sets has an overlap with many other theories. Specially interesting is the relationship to fuzzy set theory and the theory of evidence. Recently, it turned out that the theory has very interesting connections with Bayes’ theorem. The look on Bayes’ theorem offered by rough set theory reveals that any data set (...

Using a diagrammatic reformulation of Bayes' theorem, we provide necessary and sufficient condition for the existence Bayesian inference in setting finite-dimensional $C^*$-algebras. In other words, prove an analogue theorem joint classical quantum context. Our is justified by recent advances categorical probability theory, which have provided abstract formulation theorem. process, further deve...