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What is Fuzzy Set Operations

Handbook of Research on Fuzzy Information Processing in Databases
A fuzzy set operation is an operation on fuzzy sets. These operations are generalizations of crisp set operations. There is more than one possible generalization. The most widely used operations are called standard fuzzy set operations. There are three operations: fuzzy complements, fuzzy intersections, and fuzzy unions.
Published in Chapter:
Fuzzy Classification in Shipwreck Scatter Analysis
Yauheni Veryha (ABB Corporate Research Center, Germany), Jean-Yves Blot (Portugal Institute of Archaeology, Portugal), and Joao Coelho (Portugal Institute of Archaeology, Portugal)
Copyright: © 2008 |Pages: 22
DOI: 10.4018/978-1-59904-853-6.ch020
Abstract
There are many well-known applications of fuzzy sets theory in various fields of science and technology. However, we think that the area of maritime archaeology did not attract enough attention from researchers of fuzzy sets theory in the last decades. In this chapter, we present examples of problems arising in shipwreck scatter analysis where fuzzy classification may be very useful. Using a real-world example of fragments of ceramics from an ancient shipwreck, we present an exemplary application of the fuzzy classification framework with SQL querying for data mining in archaeological information systems. Our framework can be used as a data mining tool. It can be relatively easily integrated with conventional relational databases, which are widely used in existing archaeological information systems. The main benefits of using our fuzzy classification approach include flexible and precise data analysis with userfriendly information presentation at the report generation phase.
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