The Distributivity For Uni-nullnorms

In this paper,we study distributivity on uni-nullnorm.Distributive research is widely used in fuzzy logic and image processing.Due to the openness of dis-tributive and conditional distributive equations,many scholars have done a lot of research on this,and many articles have been written on distributive.But most of the research is about the distributivity and conditional distributivity of uni-nullnorm on t-norm,t-conorm and uninorm.But most of the research is about the distributivity and conditional distributivity of uni-nullnorm on t-norm,t-conorm and uninorm.This paper follows the thinking of other scholars.In the first half of the third chapter,distributivity is studied and discussed after the exchange of inner and outer layer functions.That is to take the uni-nullnorm as the inner function,t-norm,t-conorm and uninorm.As the outer function to study.In order to further study the conditions of whether distributivity is true or not,the distributivity of continuous semi-nullnorm on two special proper uni-nullnorm.That is,the distributivity of continuous semi-nullnorm on the boundary continuous conjunctive proper uni-nullnorm and disjunctive proper uni-nullnorm is studied.Therefore,in this paper,we discuss the distributivity of triangular module,t-norm,t-conorm and uninorm and continuous semi-nullnorm and uni-nullnorm.The results show that the distributivity of uni-nullnorm as an inner function is mostly not true,and that of uni-nullnorm as an outer function is true under certain conditions.