Abstract
In this paper we investigate the generalized hypothetical syllogism (GHS). We present few versions of the well known GHS equation. We focus our attention on R-implications and give some results concerning left-continuous t-norms. We show some solutions of GHS equations based on the compositional rule of inference and Bandler-Kohout subproduct. Also we sketch the idea of new possible functional equations coming from the GHS.
This work was supported by the National Science Centre, Poland, through research Project Number 2015/19/B/ST6/03259.
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Acknowledgment
This work was supported by the National Science Centre, Poland, through research Project Number 2015/19/B/ST6/03259. The authors would like to thank Professor Balasubramaniam Jayaram for the inspiring discussion during his stay in Katowice and his constructive suggestions which contributed to the development of this research topic.
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Miś, K., Baczyński, M. (2019). Different Forms of Generalized Hypothetical Syllogism with Regard to R-Implications. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2019. Lecture Notes in Computer Science(), vol 11508. Springer, Cham. https://doi.org/10.1007/978-3-030-20912-4_29
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