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Logical operators on complete lattices. (English) Zbl 0741.03010
A concept of consistency among logical operators is given with a criterion to decide whether a group of logical operators is suitable for fuzzy reasoning. Also, a necessary and sufficient condition for a kind of logical operators on \([0,1]\) is obtained.

MSC:
03B52 Fuzzy logic; logic of vagueness
03G10 Logical aspects of lattices and related structures
06B23 Complete lattices, completions
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