Abstract

We define fuzzy implications in general, then study their families defined from t-norms, t-conorms and strong negations. Connections between such implications and negations are established. Some basic results are presented concerning the contrapositive symmetry property. The study gives birth to a new class of t-norms. Members of this family, together with the corresponding R-implications, have attractive properties making them competitive in different applications, especially in fuzzy inference rules.

Keywords

Cite this article

@article{cai-1575,
  author  = {József Tick and János Fodor},
  title   = {Fuzzy Implications and Inference Processes},
  journal = {Computing and Informatics},
  volume  = {24},
  number  = {6},
  pages   = {591--602},
  year    = {2005},
  issn    = {1335-9150},
  url     = {https://cai.type.sk/content/2005/6/fuzzy-implications-and-inference-processes/}
}
Download .bib