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Checking Rule Set Induction by LEM2 Algorithm in EECS 839 Homework Assignment - Prof. Jerz, Assignments of Electrical and Electronics Engineering

University of Kansas (KU)Electrical and Electronics Engineering
Prof. Jerzy Grzymala-Busse

Instructions for checking whether a given rule set was induced by the lem2 algorithm from a decision table in eecs 839 fall 2008 homework assignment. The document also requires inducing the rule set by the lem2 algorithm and checking the minimality and redundancy of each rule and concept.

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Pre 2010

Uploaded on 03/10/2009

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EECS 839
Fall 2008
Homework Assignment # 1
due: September 16, 2008
30 pts. 1. For the following decision table
Attributes Decision
Age Hypertension Complications Delivery
120..29 no none fullterm
220..29 yes obesity preterm
320..29 yes none preterm
420..29 no none fullterm
530..39 yes none fullterm
630..39 yes alcoholism preterm
740..50 no none fullterm
and the following rule set
(Hypertension, no) - > (Delivery, fullterm)
(Age, 40..50) -> (Delivery, fullterm)
(Age, 20..29) & (Hypertension, yes) -> (Deliver, preterm)
(Hypertension, yes) & (Complications, alcoholism) -> (Delivery, preterm)
check whether this rule set was induced by the LEM2 algorithm from the
decision table. (If not, list all reasons. For example, a rule does not
correspond to a minimal complex, a rule set describing a concept does not
correspond to a local covering).
70 pts. 2. For the decision table from Problem 1 induce the rule set by the LEM2
algorithm. In particular, for every rule check if it is minimal. For every
concept check if any rule is redundant.

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EECS 839

Fall 2008

Homework Assignment # 1

due: September 16, 2008

30 pts. 1. For the following decision table

Attributes Decision

Age Hypertension Complications Delivery

1 20..29 no none fullterm 2 20..29 yes obesity preterm 3 20..29 yes none preterm 4 20..29 no none fullterm 5 30..39 yes none fullterm 6 30..39 yes alcoholism preterm 7 40..50 no none fullterm

and the following rule set

(Hypertension, no) - > (Delivery, fullterm) (Age, 40..50) -> (Delivery, fullterm) (Age, 20..29) & (Hypertension, yes) -> (Deliver, preterm) (Hypertension, yes) & (Complications, alcoholism) -> (Delivery, preterm)

check whether this rule set was induced by the LEM2 algorithm from the decision table. (If not, list all reasons. For example, a rule does not correspond to a minimal complex, a rule set describing a concept does not correspond to a local covering).

70 pts. 2. For the decision table from Problem 1 induce the rule set by the LEM algorithm. In particular, for every rule check if it is minimal. For every concept check if any rule is redundant.