Graded consequence relations and fuzzy closure operator

Journal of Applied Non-Classical Logics 6 (4):369-379 (1996)
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Abstract

ABSTRACT In this work the connections between the fuzzy closure operators and the graded consequence relations are examined Namely, as it is well known, in the crisp case there is a complete equivalence between the notion of closure operator and the one of consequence relation. We extend this result by proving that the graded consequence relations are related to a particular class of fuzzy closure operators, namely the class of fuzzy closure operators that can be obtained by a chain of classical closure operators

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10.1080/11663081.1996.10510892

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Citations of this work

Non-dual fuzzy connections.George Georgescu & Andrei Popescu - 2004 - Archive for Mathematical Logic 43 (8):1009-1039.
A general approach to fuzzy concepts.Andrei Popescu - 2004 - Mathematical Logic Quarterly 50 (3):265-280.
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References found in this work

Multiple Conclusion Logic.D. J. Shoesmith & Timothy Smiley - 1978 - Cambridge, England / New York London Melbourne: Cambridge University Press. Edited by T. J. Smiley.
Fuzzy logic and approximate reasoning.L. A. Zadeh - 1975 - Synthese 30 (3-4):407-428.
Inferences in probability logic.Giangiacomo Gerla - 1994 - Artificial Intelligence 70 (1-2):33-52.
An Extension Principle for Fuzzy Logics.Giangiacomo Gerla - 1994 - Mathematical Logic Quarterly 40 (3):357-380.

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