Abstract
As known to us, a relation is a subset of the Cartesian product of two sets. A relation is naturally fuzzified while a subset is fuzzified. In fact, whether two objects have a relation is not always easy to determine. For example, the relation “greater than” on the set of real numbers is a crisp one because we can determine the order relation of any two real numbers without vagueness. However, the relation “much greater than” is a fuzzy one because it is impossible for us to figure out the exact minimum difference of two numbers satisfying this relation. In real world problems, there exist a lot of such relations, e.g. “being friend of” and “being confident in” between some people. These relations will be termed as fuzzy relations which are our concern in this chapter.
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© 2009 Springer-Verlag Berlin Heidelberg
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Wang, X., Ruan, D., Kerre, E.E. (2009). Fuzzy Relations. In: Mathematics of Fuzziness – Basic Issues. Studies in Fuzziness and Soft Computing, vol 245. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78311-4_3
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DOI: https://doi.org/10.1007/978-3-540-78311-4_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78310-7
Online ISBN: 978-3-540-78311-4
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