This study delivers a comprehensive overview of the fundamentals of the technology of fuzzy sets, regarded as one of the essential conceptual and algorithmic settings of data mining. We review the underlying concepts of fuzzy sets and discuss their role in information granulation. The basic computing aspects of fuzzy sets are studied; these include operations on fuzzy sets, transformations of fuzzy sets, and quantification of information granularity. Our conjecture is that granularity of information plays a pivotal role in knowledge-based computing that dominates data mining pursuits. We contrast probability with fuzzy sets and underline their orthogonal character manifested in data mining.
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