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Convergence of residuated operators and connective stability of non-classical logics. (English) Zbl 0958.03015

The authors give necessary and sufficient criteria under which to a converging sequence of left continuous t-norms there corresponds a converging sequence of corresponding residual implications which give as their limit the residual implication of the limit t-norm.

MSC:

03B50 Many-valued logic
26E99 Miscellaneous topics in real functions
03B52 Fuzzy logic; logic of vagueness
20M99 Semigroups
Full Text: DOI

References:

[1] Fodor, J. C., Contrapositive symmetry of fuzzy implications, Fuzzy Sets and Systems, 69, 141-156 (1995) · Zbl 0845.03007
[2] Fodor, J.; Roubens, M., Fuzzy Preference Modelling and Multicriteria Decision Support (1994), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht · Zbl 0827.90002
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