Name
Abstract | ||
|---|---|---|
Triangular norms (t-norms) have been applied to many areas of artificial intelligence. Residual implications (R-implications) induced by t-norms have become important tools in both theoretical and applied researches of nonclassical logics and approximate reasoning. This paper discusses axiomatic characterizations of t-norms and R-implications. The correspondences between properties of t-norms and R-implications are investigated. Some important conclusions are proved first time. Some mistakes in the related literature are corrected, and the proof procedures of some results are simplified. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/FSKD.2009.258 | FSKD (6) |
Keywords | Field | DocType |
axiomatic consideration,related literature,approximate reasoning,artificial intelligence,triangular norm,important conclusion,axiomatic characterization,axiomatic considerations,nonclassical logic,residual implication,proof procedure,important tool,t norm,formal logic,artificial intelligent,data mining,cognition,fuzzy logic,probability density function,fuzzy sets | T-norm,Residual,Fuzzy reasoning,Axiom,Computer science,Fuzzy logic,Fuzzy set,Approximate reasoning,Artificial intelligence,Machine learning | Conference |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||