Abstract
One of the common features in fuzzy sets, many-valued logic, and fuzzy logic is that all three areas in some sense are related to partiality, to kinds of degrees. In fuzzy logic this partiality appears in the degrees to which formulas are given as premises as well as in the degrees of truth of such formulas. Calculi, yet, work with formulas and inference rules. But there is an asymmetry here: formulas have truth degrees, inference rules have to be (absolutely) sound. We discuss the problem how to generalise this soundness to partial soundness.
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References
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© 1995 Springer-Verlag Berlin Heidelberg
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Gottwald, S. (1995). An approach to handle partially sound rules of inference. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds) Advances in Intelligent Computing — IPMU '94. IPMU 1994. Lecture Notes in Computer Science, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035971
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DOI: https://doi.org/10.1007/BFb0035971
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