Uninorm aggregation operators for intuitionistic fuzzy sets (Q2770367)

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scientific article; zbMATH DE number 1703206
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Uninorm aggregation operators for intuitionistic fuzzy sets
scientific article; zbMATH DE number 1703206

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    4 November 2002
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    uninorms
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    intuitionistic fuzzy sets
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    Uninorm aggregation operators for intuitionistic fuzzy sets (English)
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    Intuitionistic fuzzy sets [\textit{K. T. Atanassov}, ``Intuitionistic fuzzy sets'', Fuzzy Sets Syst. 20, 87-96 (1986; Zbl 0631.03040)] are couples \(\langle A^+,A^-\rangle\) of fuzzy sets such that \(A^++ A^-\leq 1\). A uninorm [see \textit{R. R. Yager} and \textit{A. Rybalov}, ``Uninorm aggregation operators'', Fuzzy Sets Syst. 80, No. 1, 111-120 (1996; Zbl 0871.04007)] is a mapping \(R: [0,1]\times[0,1]\to [0,1]\) that is commutative, associative, monotone and satisfies the identity \(R(e,a)= a\) for some fixed element \(e\). By the help of two basic uninorms, the author constructs some mapping preserving certain classes of intuitionistic fuzzy sets.NEWLINENEWLINEFor the entire collection see [Zbl 0969.00064].
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