Abstract

In this paper, the differently implicational universal triple I inference algorithms of fuzzy reasoning are discussed. We generalize fuzzy reasoning triple I algorithms to differently implicational (1, 2, 1) type universal triple I algorithms, and their solutions (FMP universal triple I solution and FMT universal triple I solution) are structured. As the corollaries of the main results in this paper, some special algorithms can be easily derived. In particular, triple I algorithms based on four important residuated implications are special cases of main conclusions.

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