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Under interval-valued fuzzy environment, based on the differently implicational idea and hierarchical inference mechanism, the interval-valued universal triple I algorithm is put forward. To begin with, the interval-valued fuzzy implications and related residual pairs are researched. Furthermore, the interval-valued universal triple I principles are proposed, and the optimal solutions of the interval-valued...
The universal triple I method with maximum fuzzy entropy (the entropy-universal triple I method for short) is proposed and investigated, which takes the fuzzy entropy triple I method as its particular case. To begin with, the entropy-universal triple I principles for FMP (fuzzy modus ponens) and FMT (fuzzy modus tollens) are put forward, which improve the previous fuzzy entropy triple I principles...
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