Generalized Laws of Importation and Cross-Migrativity Based on(D,N)-Implications  

作　　者：Nana MA 

机构地区：[1]School of Mathematics,Xi’an University of Finance and Economics,Shaanxi 710100,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第5期583-595,共13页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.12471438,12001413);the Natural Science Basic Research Plan Project of Shaanxi Province(Grant No.2022JM-048);the Shaanxi Fundamental Science Research Project for Mathematics and Physics(Grant No.23JSQ043)。

摘　　要：In the present article we study the generalized laws of importation and crossmigrativity based on(D,N)-implications.On the one hand,we consider the generalized law of importation I(T(x,α),y)=I(x,J(α,y)),when T is concretized as a fuzzy conjunction C,I and J are concretized as(D,N)-implications generated by a fuzzy disjunction D and a fuzzy negation N.On the other hand,we discuss the cross-migrativity of fuzzy disjunctions over fuzzy implications,that is,I(x,D(y,z))=D(y,I(x,z)),where I is a fuzzy implication,D is a fuzzy disjunction.In addition,we study the relationship between the(α-)cross-migrative of(I,D)and the(α-)cross-law of importation(I,ID,N,C).

关 键 词：fuzzy implication generalized laws of importation cross-migrativity 

分 类 号：O159[理学—数学]