Unified differently implicational (1,2,1) type algorithms of fuzzy reasoning

作者：Luo Minxia^*; Sang Ni; Zhang Kai

来源：Journal of Computational Information Systems, 2013, 9(4): 1669-1677.

• Continuous t-norms
• Fuzzy reasoning
• Left-continuous t-norms
• Reductivity
• Residuated implications

In this paper, firstly, the reductivity of differently implicational universal triple I algorithms of (1,2,1) type is proved. Secondly, we generalizated differently implicational universal triple I algorithms of (1,2,1) type to differently implication universal α-triple I algorithms of (1,2,1) type, and their solutions (FMP universal α-triple I solution of (1,2,1) type and FMT universal α-triple I solution of (1,2,1) type) are structured. As the corollaries of the main results, unified full implication α-triple I algorithms based on all residuated implications induced by left continuous t-norms can be easily derived. In particularly, α-triple I algorithms based on four important residuated implications are special cases of main conclusions. These algorithms would be beneficial to applications of fuzzy reasoning.

• 出版日期2013
• 单位中国计量大学