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On fuzzy Zorn’s lemma. (English) Zbl 0931.03063

A proof of fuzzy Zorn’s lemma is given, namely: if every fuzzy chain in a fuzzy ordered set \(X\) has an upper bound, then \(X\) has a maximal element.

MSC:

03E72 Theory of fuzzy sets, etc.
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References:

[1] Brown, G.J., A note on fuzzy sets, Inform. and control, 18, 32-39, (1971) · Zbl 0217.01403
[2] Chapin, E.W.; Chapin, E.W., Set valued set theory, part II, Notre dame J. formal logic, Notre dame J. formal logic, XVI, 2, 255-267, (1975) · Zbl 0236.02050
[3] Zadeh, L.A., Fuzzy sets, Inform. and control, 8, 338-353, (1965) · Zbl 0139.24606
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