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Key Formalisms for Representation of Information Granules and Processing Mechanisms

Information granules are formalized in many different ways. We review a number of highly representative formal frameworks of information granulation, emphasize their main features, show linkages among them, and high-light the main differences existing there. The essential computing machinery for information granules is presented. It is shown how some commonalities with this regard arise.

2.1    Sets and Interval Analysis

Sets and set theory are the fundamental notions of mathematics and science. They are in common usage when describing a wealth of concepts, describing relationships, and formalizing solutions. The underlying fundamental notion of set theory ...

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