Abstract
The subject of this paper is fuzzy propositional calculus. The proposed approach is related to the basic fuzzy propositional logics, i.e. to each of the following three most important such systems (in short: BL): Łukasiewicz’s, Gödel’s, and product logic. The logical calculi considered here are based on a system of rules that define the methods used in proofs from assumptions. To simplify the considered proofs some set of laws called also ‘primitive rules’ is next introduced. It was shown that any fuzzy propositional formula provable under Hájek’s axioms of the logic BL is also provable under the above-proposed approach.
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Tabakow, I. (2006). An Introduction to Fuzzy Propositional Calculus Using Proofs from Assumptions. In: Gabrys, B., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2006. Lecture Notes in Computer Science(), vol 4252. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893004_24
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DOI: https://doi.org/10.1007/11893004_24
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