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- W4312912896 abstract "Perturbation is an important property of fuzzy reasoning algorithms. It is an important task to estimate the upper and lower bounds of the output after a perturbation (such as an interval perturbation) is given to the input. In this study, the interval perturbation problem of a fuzzy reasoning algorithm, i.e., the ɑ-symmetric implicational algorithm, is researched systematically. For FMP (Fuzzy Modus Ponens) and FMT (Fuzzy Modus Tollens) problems of fuzzy reasoning, aiming at the case of a single rule, the estimation for the upper and lower bounds are obtained for the input interval disturbance, in which R-implications and (S, N)-implications are mainly employed. Then the stability is verified on account of the upper and lower bounds. Following that, for the multi-rule case, the upper and lower bounds of the output are also given, and the corresponding stability is validated. In conclusion, it is found that the ɑ-symmetric implicational algorithm has good stability." @default.
- W4312912896 created "2023-01-05" @default.
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- W4312912896 date "2022-01-01" @default.
- W4312912896 modified "2023-09-25" @default.
- W4312912896 title "On Interval Perturbation of the ɑ-Symmetric Implicational Algorithm" @default.
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- W4312912896 doi "https://doi.org/10.1007/978-981-19-7510-3_5" @default.
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