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Zbl 1183.06004
Zhang, Qiye; Xie, Weixian; Fan, Lei
Fuzzy complete lattices. (English)
[J] Fuzzy Sets Syst. 160, No. 16, 2275-2291 (2009). ISSN 0165-0114

The authors present an approach to fuzzification of complete lattices, which is a special kind of complete $\Omega$-lattices defined by Lai and Zhang. Tarski fixed-point theorem for the $L$-fuzzy complete lattices was proved in a different way. Some fuzzy powerset operators are suggested.
[Fu-Gui Shi (Beijing)]

MSC 2000:: *06B23 Complete lattices
06D72 Fuzzy lattices etc.
18B35 Generalizations of lattices viewed as categories

Keywords: $L$-fuzzy complete lattice; Tarski fixed-point theorem; fuzzy powerset operator; $L$-fuzzy complete-lattice-homomorphism

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