Generalised laws of importation and cross-migrativity based on (D,N)-implications

英文关键词:Fuzzy implication  Generalised laws of importation  Cross-migrativity

中文摘要:

      

英文摘要:

      In the present article we study the generalised laws of importation and cross-migrativity based on (D,N)-implications. On one hand, we consider the generalised law of importation I(T(x,\alpha),y)=I(x,J(\alpha,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 \alpha-cross-migrativity of fuzzy disjunctions over fuzzy implications, that is, I(x,D(y,\alpha))=D(y,I(\alpha,x)). Necessary and sufficient conditions for cross-migrativity of (I,D) are provided, where I is a fuzzy implication, D is a fuzzy disjunction.