Abstract
Approximation of a many-valued logic by a logic with less number of truth values is an important topic. Three-way approximation based on a pair of thresholds is an example considered by Yao. However, the determination of thresholds has not been investigated yet. In this paper, we aim to study this issue in the context of many-valued NM-logic with the standard valuation domain \({\{0,\frac{1}{n-1},\frac{2}{n-1},\cdots,\frac{n-2}{n-1},1\}}\). The main result is that when n is odd, the thresholds for three-way decision is uniquely determined. When n is even, there is actually no three-way decision, but two-way decision.
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She, Y. (2014). On Determination of Thresholds in Three-Way Approximation of Many-Valued NM-Logic. In: Cornelis, C., Kryszkiewicz, M., Ślȩzak, D., Ruiz, E.M., Bello, R., Shang, L. (eds) Rough Sets and Current Trends in Computing. RSCTC 2014. Lecture Notes in Computer Science(), vol 8536. Springer, Cham. https://doi.org/10.1007/978-3-319-08644-6_14
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DOI: https://doi.org/10.1007/978-3-319-08644-6_14
Publisher Name: Springer, Cham
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