Abstract
At first glance, the three approaches to uncertainty presented in this chapter—fuzzy set theory, incidence calculus, and rough set theory—have very little in common. However, they are placed in the same chapter because uncertainty in all three theories is characterized by a set. In the case of fuzzy set theory, a way to represent uncertainty is a linguistic variable whose terms are characterized by fuzzy subsets or a possibility distribution, which may also be viewed as a fuzzy set. An incidence from incidence calculus is a set, a subset of the set of discourse. Finally, a rough set characterizes uncertainty by a family of subsets of the universe
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© 1991 Springer Science+Business Media New York
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Grzymala-Busse, J.W. (1991). Set-Valued Quantitative Approaches. In: Managing Uncertainty in Expert Systems. The Springer International Series in Engineering and Computer Science, vol 143. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3982-7_6
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DOI: https://doi.org/10.1007/978-1-4615-3982-7_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6779-6
Online ISBN: 978-1-4615-3982-7
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