Abstract
Already in the early stages of the development of fuzzy set theory, it has been recognized that fuzzy sets can be defined and represented in several different ways. In this paper we first define fuzzy sets within the classical set theory by suitable nested families of sets, and then we discuss how this definition is related to the usual definition by membership functions.
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© 2004 Springer-Verlag Berlin Heidelberg
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RamÃk, J., Vlach, M. (2004). A Non-controversial Definition of Fuzzy Sets. In: Peters, J.F., Skowron, A., Dubois, D., GrzymaÅ‚a-Busse, J.W., Inuiguchi, M., Polkowski, L. (eds) Transactions on Rough Sets II. Lecture Notes in Computer Science, vol 3135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27778-1_11
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DOI: https://doi.org/10.1007/978-3-540-27778-1_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23990-1
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