摘要
L*是区间值模糊与Atanassov意义下的直觉模糊集的基本格。本文首先基于单位区间上的三角模与三角余模,引入L*上两组对偶的二元聚合算子,然后,类似于剩余蕴涵与强蕴涵的构成方法,利用引入的对偶聚合算子生成几类L*上的蕴涵,并对其性质进行讨论。
Lattice L* is the underlying lattice of both interval-valued fuzzy sets and intuitionistic fuzzy sets in the sense of Atanassov. In this paper we introduce two groups of dual binary aggregation operators on L* based on t-norms and t-conorms on the unit interval. Similar to the constructions as for residual implications and strong implications, several classes of implications on L* are generated based on these binary aggregation operators on L* and their properties are discussed.
出处
《模糊系统与数学》
CSCD
北大核心
2007年第3期45-53,共9页
Fuzzy Systems and Mathematics
基金
Project by the Natural Science Foundation of China under Grant 10331010