Abstract:
Fuzzy implication is the extension of classical logical implication,and the structure and equivalent characterization of fuzzy implication is the current research hotspots.However,fuzzy coimplication,as a dual operator of fuzzy implication is seldom studied.Firstly, (
G,
N)- coimplication is constructed from grouping functions and fuzzy negation.Secondly,the
EP,
IP,
NP and other properties of (
G,
N)- coimplication are discussed.Finally,equivalent characterizations of coimplication are given.