hmk3(classifier) - 1 Cse352 AI Homework 3(30pts PART ONE...

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1 Cse352 AI Homework 3 ( 30pts ) PART ONE: Classification Data and Rules (10 pts) Definition 1 Given a classification dataset DB with a set A = { a 1 , a 2 , , a n } of attributes and a class attribute C with values { c 1 , c 2 , , c k } (k classes), any expression; a 1 = v 1 a k = v k , where a i A C and v i are values of attributes, is called a DESCRIPTION. In particular, C = c k is called a CLASS DESCRIPTION. Definition 2 A CHARACTERISTIC FORMULA is any expression C = c k a 1 = v 1 a k = v k , or shortly we write is as CLASS DESCRIPTION Definition 3 A DETERMINANT formula is any expression a 1 = v 1 a k = v k C =c k, or shortly DESCIPTION CLASS Definition 4 A characteristic formula CLASS DESCRIPTION is called a CHARACTERISITIC RULE of the classification dataset DB iff it is TRUE in DB, i.e. when the following holds {o: DESCRIPTION} {o: CLASS} not= , where {o: DESCRIPTION} is the set of all records of DB corresponding to the description DESCRIPTION, {o: CLASS} is the set of all records of DB corresponding to the description CLASS.
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