This paper first introduces the concepts of an extended coimplication of a grouping function and an extended implication of a grouping function on type-2 fuzzy truth values,and discusses their closure.Then it presents the dis-tributive laws between the extended coimplication(resp.implication)and ∪(resp.∩,(U)and(∏)).Finally,it gives some representations of the extended coimplications(resp.implications).
关键词
模糊真值/重叠函数/分组函数/余蕴涵/蕴涵/分配律
Key words
Fuzzy truth value/Overlap function/Grouping function/Coimplication/Implication/Distributive law