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- W4313309420 abstract "The concept of α-level sets of fuzzy sets is an important tool to study the properties of fuzzy sets and their applications. In this chapter, the author treats the α-level sets as the upper α-level sets. The primal decomposition theorem says that the membership function can be expressed in terms of upper α-level sets. The author introduces the mathematical foundations of fuzzy sets as well as the current cutting edge of fuzzy-set operations and arithmetic, offering a rounded introduction to this essential field of applied mathematics. He presents detailed coverage of set operations, fuzzification of crisp operations, and more." @default.
- W4313309420 created "2023-01-06" @default.
- W4313309420 date "2022-12-30" @default.
- W4313309420 modified "2023-09-26" @default.
- W4313309420 title "Duality in Fuzzy Sets" @default.
- W4313309420 doi "https://doi.org/10.1002/9781119981558.ch10" @default.
- W4313309420 hasPublicationYear "2022" @default.
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