Abstract
In the previous Chapter we got familiar with the basic concepts of a fuzzy variable and a fuzzy set which relate to the fuzzy value, fuzzy number or term. This brings us to the interesting issue of the connectivity or the interaction between the named variables and values. In this Chapter we will focus our attention on the various connections and relations between fuzzy sets; two given fuzzy sets A and B are somehow connected to produce a new fuzzy set C = A ◊ B. Such operations ◊ that create a new fuzzy set out of two are called fuzzy. The nature of fuzzy operations calls for a bit lengthy explanation — even though we are comfortable with the operations in classical algebra, crisp set theory and classical logic.
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© 2000 Springer Science+Business Media Dordrecht
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Virant, J. (2000). Fuzzy Operations and Relations. In: Design Considerations of Time in Fuzzy Systems. Applied Optimization, vol 35. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4673-3_2
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DOI: https://doi.org/10.1007/978-1-4615-4673-3_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7115-1
Online ISBN: 978-1-4615-4673-3
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