Abstract
In this chapter, we focus on the introduction of fundamentals in fuzzy set theory, including some set-theoretic operations and their extensions, the decomposition of a fuzzy set, and mathematical representations of fuzzy sets in terms of a nest of sets. Towards the end of the chapter, fuzzy sets taking values in [0,1] are extended to those on a lattice and a similar investigation is carried out.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Wang, X., Ruan, D., Kerre, E.E. (2009). Basics of Fuzzy Sets. 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_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-78311-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78310-7
Online ISBN: 978-3-540-78311-4
eBook Packages: EngineeringEngineering (R0)