On the suitability of the Bandler–Kohout subproduct as an inference mechanism
M Stepnicka, B Jayaram - IEEE Transactions on Fuzzy Systems, 2010 - ieeexplore.ieee.org
Fuzzy relational inference (FRI) systems form an important part of approximate reasoning
schemes using fuzzy sets. The compositional rule of inference (CRI), which was introduced
by Zadeh, has attracted the most attention so far. In this paper, we show that the FRI scheme
that is based on the Bandler–Kohout (BK) subproduct, along with a suitable realization of the
fuzzy rules, possesses all the important properties that are cited in favor of using CRI, viz.,
equivalent and reasonable conditions for their solvability, their interpolative properties, and …
schemes using fuzzy sets. The compositional rule of inference (CRI), which was introduced
by Zadeh, has attracted the most attention so far. In this paper, we show that the FRI scheme
that is based on the Bandler–Kohout (BK) subproduct, along with a suitable realization of the
fuzzy rules, possesses all the important properties that are cited in favor of using CRI, viz.,
equivalent and reasonable conditions for their solvability, their interpolative properties, and …
[PDF][PDF] On the suitability of the Bandler-Kohout subproduct as an inference mechanism
BJ MartinŠtepnicka - Citeseer
Fuzzy Relational Inference (FRI) systems form an important part of approximate reasoning
schemes using fuzzy sets. Especially, the compositional rule of inference (CRI) introduced
by Zadeh has attracted the most attention so far. In this work we show that the FRI scheme
based on the Bandler-Kohout subproduct along with a suitable realisation of the fuzzy rules,
does possess all the important properties cited in favor of using CRI, viz., equivalent and
reasonable conditions for their solvability, their interpolative properties and the preservation …
schemes using fuzzy sets. Especially, the compositional rule of inference (CRI) introduced
by Zadeh has attracted the most attention so far. In this work we show that the FRI scheme
based on the Bandler-Kohout subproduct along with a suitable realisation of the fuzzy rules,
does possess all the important properties cited in favor of using CRI, viz., equivalent and
reasonable conditions for their solvability, their interpolative properties and the preservation …
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