摘要
为了提供直觉模糊推理的代数基础,初步建立了正则直觉格的基本理论.利用单位区间[0,1]上的左连续之三角模,引入了直觉三角模及其伴随的正则直觉蕴涵算子的概念,研究了它们的性质,揭示了直觉三角模与正则直觉蕴涵算子之间的关系.
In order to provide the algebraic basis of intuitionistic fuzzy reasoning,the basic theory of regular intuitionistic lattices is preliminarily established.By using the left continuous triangular module on the unit interval[0,1],the concept of the intuitional triangular module and its accompanying regular intuitionistic implication operator is introduced,and their properties are studied with the relationships between the intuitionistic triangular modules and regular intuitionistic implication operators being revealed.
作者
彭家寅
PENG Jiayin(School of Mathematics and Information Science,Neijiang Normal University,Neijiang 641199,Sichuan)
出处
《内江师范学院学报》
2018年第8期42-48,共7页
Journal of Neijiang Normal University
基金
国家自然科学基金(11071178
11671284)
教育部与四川省"数学与应用数学专业综合改革"(ZG0464
01249)
四川科技厅重大前沿项目(2017JY0197)
四川省教育厅科研创新团队基金(15TD0027)
关键词
模糊逻辑
代数系统
正则直觉格
直觉三角模
正则直觉蕴涵算子
fuzzy logic
algebra system
regular intuitionistic lattice
intuitionistic triangular module
regular intuitionistic implication operator
