Consistency of Probability Decision Rules and Its Inference in Probability Decision Table

Table 3

The maximum probability decision table of Table 2.

𝑈⧵𝐴∪{𝑏}	𝑎1	𝑎2	⋯	𝑎𝑚	𝑏
𝑥1	(𝑣^𝑟′1𝑎1,𝑝^𝑥1𝑎1(𝑣^𝑟′1𝑎1))	(𝑣^𝑟′2𝑎2,𝑝^𝑥1𝑎2(𝑣^𝑟′2𝑎2))	⋯	(𝑣^𝑟′𝑚𝑎𝑚,𝑝^𝑥1𝑎𝑚(𝑣^𝑟′𝑚𝑎𝑚))	(𝑣^𝑠′𝑏,𝑝^𝑥1𝑏(𝑣^𝑠′𝑏))
⋮	⋮	⋮	⋮	⋮	⋮
𝑥𝑛	(𝑣^𝑟′1𝑎1,𝑝^𝑥𝑛𝑎1(𝑣^𝑟′1𝑎1))	(𝑣^𝑟′2𝑎2,𝑝^𝑥𝑛𝑎2(𝑣^𝑟′2𝑎2))	⋯	(𝑣^𝑟′𝑚𝑎𝑚,𝑝^𝑥𝑛𝑎𝑚(𝑣^𝑟′𝑚𝑎𝑚))	(𝑣^𝑠′𝑏,𝑝^𝑥𝑛𝑏(𝑣^𝑠′𝑏))