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Part of the book series: Theory and Decision Library ((TDLB,volume 18))

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Abstract

The paper is a survey of the main notions and results obtained in fuzzy set theory. The presentation is based on the results in fuzzy logic. The connection of fuzzy set theory with it is demonstrated, formal definition of a structure of membership degrees is presented and few elements of fuzzy logic are succintly mentioned. Then the definitions of basic operations and notions of fuzzy set theory including their properties are presented. Finally, the relation of fuzzy set theory to the notion of possibility is mentioned.

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© 1990 Kluwer Academic Publishers

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Novák, V. (1990). Fuzzy Set Theory as a Theory of Vagueness. In: Kacprzyk, J., Fedrizzi, M. (eds) Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2109-2_2

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  • DOI: https://doi.org/10.1007/978-94-009-2109-2_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7448-3

  • Online ISBN: 978-94-009-2109-2

  • eBook Packages: Springer Book Archive

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