Titlebook: Data Mining and Knowledge Discovery via Logic-Based Methods; Theory, Algorithms, Evangelos Triantaphyllou Book 2010 Springer Science+Busin

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A Fuzzy Logic Approach to Attribute Formalization: Analysis of Lobulation for Breast Cancer Diagnosis may be of significance. For easily quantifiable attributes (such as, age, weight, cost, etc.) this task is a rather straightforward one as it involves simple measurements and expressing the results in terms of some units. For other attributes, however, this task may not be a simple one. This is th

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Conclusionses some comprehensive concluding remarks. As was mentioned earlier, there are many approaches todata mining andknowledge discovery from data sets. Such approaches includeneural networks, closest neighbor methods, and various statistical methods. However, such approaches may have some severe limitati

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Algorithms and Computation in MathematicsThis chapter discusses a useful relationship between the CNF and DNF forms of the Boolean functions derivable from the same training data. This relationship can benefit approaches which attempt to solve large Boolean function inference problems and use either the CNF or the DNF form in representing a Boolean function.

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Inferring a Boolean Function from Positive and Negative ExamplesA central problem in data mining is how to analyze observations grouped into two categories and infer some key patterns that may be implied by these observations. As discussed in Chapter 1, these observations describe different states of nature of the system or phenomenon of interest to the analyst.

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