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Extensions of Fuzzy Set Theory

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 295))

Abstract

In fuzzy set theory the membership function of a fuzzy set is a classical function A : X → [0, 1]. In some applications the shape of the membership function is itself uncertain. This problem appears mainly because of the subjectivity of expert knowledge and imprecision of our models. In these situations we can use a higher order extension of fuzzy set theory.

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Correspondence to Barnabas Bede .

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© 2013 Springer-Verlag Berlin Heidelberg

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Bede, B. (2013). Extensions of Fuzzy Set Theory. In: Mathematics of Fuzzy Sets and Fuzzy Logic. Studies in Fuzziness and Soft Computing, vol 295. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35221-8_10

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  • DOI: https://doi.org/10.1007/978-3-642-35221-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35220-1

  • Online ISBN: 978-3-642-35221-8

  • eBook Packages: EngineeringEngineering (R0)

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