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Fast Algorithm for n Parallel Rules


Our method consists in merging the n parallel rules in 2 parallel rules and apply the algorithm tex2html_wrap_inline1792 . But to take into account all the possible combinations, the system makes n-1 ordered aggregations of the n rules and combine the n-1 obtained fuzzy sets.

The principle of the fast algorithm tex2html_wrap_inline1998 for n parallel rules is:

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Results obtained with the formula (10) are close to results obtained with a numeral approach. The figure 9 shows how the core of tex2html_wrap_inline1366 can be directly obtained with tex2html_wrap_inline2016 or with tex2html_wrap_inline2018 . tex2html_wrap_inline2020 is obtained with tex2html_wrap_inline2022 tex2html_wrap_inline2024 and tex2html_wrap_inline2026 with tex2html_wrap_inline2028 .

Figure 9: Core computation for three parallel rules.

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