The Fuzzy Implication Satisfy Generalized Hypothetical Reasoning

In the fuzzy reasoning,because of the generalized hypothetical reasoning(GHS),it plays a central role in the selection of fuzzy implication.Hence it has attracted the interest of many authors,this paper will study the fuzzy implication satisfy(GHS).There are too many implication classes and its function equation is too com-plex.Therefore,this article is only study some well know fuzzy implications(i.e.,(S,N)-implication,R-implication,QL-implication,RU-implication).On the other hand,under the general t-norms.It is not easy to study the fuzzy implication satisfy(GHS),so this paper assumes that*= TM,*-Tp,*= TLK,then to study the fuzzy implication satisfy(GHS).The research results show that there is not a lot of fuzzy implication in these fuzzy implication classes.Several kinds of fuzzy implications proposed in[22]are satisfied(GHS).In addition,we have checked the preservation of(GHS)by some generating methods of fuzzy implication.Finally,we study RU-implication that generated from uninorm satisfy(GHS).