A survey of weak connectives and the preservation of their properties by aggregations. (English) Zbl 1188.03015
The paper reviews various definitions of generalized logical connectives (like conjunctions and disjunctions, negations, implications). Moreover, it investigates the closure of the presented classes of connectives with respect to pointwise composition by means of suitable aggregation functions.
Reviewer: Fabrizio Durante (Bozen-Bolzano)
MSC:
| 03B50 | Many-valued logic |
| 03B52 | Fuzzy logic; logic of vagueness |
| 03E72 | Theory of fuzzy sets, etc. |
| 26E50 | Fuzzy real analysis |
Keywords:
MV-logic; fuzzy algebra; fuzzy connectives; aggregation functions; generalized connectives; triangular norms; copulas; quasi-copulasReferences:
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