A new family of (A, N)-implications: Construction and properties

Document Type : Research Paper


College of Mathematics and Statistics, Yangtze Normal University, Fuling 408100, Chongqing, PR China


This paper deals with a new family of (A, N)-implications that derived from fuzzy negation and continuous monotone function, and some properties, like the left neutrally, the exchange principle, the ordering property and the laws of contraposition, of the proposed family of (A, N)-implications are studied.
Moreover, the T-conditionality and the Modus tollens for the new family of (A, N)-implications are also studied and some results are obtained.