摘要
将二型模糊集从[0,1]扩展到完备分配格上,讨论真值为格值的二型模糊集真值代数的运算及其性质,如交换律、结合律、分配律及幂等性等.
This paper deals with type-2 fuzzy sets whose truth values are in a complete distributive lattice. First, it generalizes type-2 fuzzy sets from [0,1] to a complete distributive lattice. Then it discusses the operations on type-2 fuzzy sets with lattice values as truth values and their properties, for instance, commutativity, associativity, distributivity and idempotent.
作者
严卫平
王学平
YAN Weiping;WANG Xueping(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan)
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2019年第3期301-307,共7页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金(61573240)
关键词
完备分配格
模糊真值代数
二型模糊集
complete distributive lattices
algebra of fuzzy truth values
type-2 fuzzy sets
