Abstract
Fuzzy sets are introduced as a generalization of ordinary sets. In this chapter we are going to define an algebraic structure of the class of fuzzy sets which will be useful in the combination of vague data. If an expert is sure, for example, that the ”true” value of the price of a house is in [200,000; 300,000] and another expert has information that the price of the same house is in [250,000; 350,000], we can calculate the intersection of these sets in order to aggregate the two expert opinions. In other situations different operations may be useful; thus, we start to discuss the basic operation performed on fuzzy sets which were originally proposed by L.A. Zadeh [212].
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© 1987 D. Reidel Publishing Company, Dordrecht, Holland
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Kruse, R., Meyer, K.D. (1987). Operations on Fuzzy sets. In: Statistics with Vague Data. Theory and Decision Library, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3943-1_4
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DOI: https://doi.org/10.1007/978-94-009-3943-1_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8249-5
Online ISBN: 978-94-009-3943-1
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