摘要
定义了HS-代数的模糊演绎系统,由模糊积和模糊上集给出了模糊演绎系统的一个新刻画,讨论了模糊演绎系统的像和逆像的性质.使用落影理论讨论了HS-代数的演绎系统,并研究了落影模糊演绎系统和模糊演绎系统的关系.
The concept of fuzzy deduction systems of HS-algebras is defined.By using the notions of fuzzy products and fuzzy upsets,a new characterization of fuzzy deduction systems is provided.Then,the properties of the images and inverse images of fuzzy deduction systems are discussed.Also,the deductive systems of HS-algebras are discussed based on the falling shadow theory,and the relationships between the falling fuzzy deduction systems and the fuzzy deduction systems are investigated.
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2015年第6期672-676,686,共6页
Journal of Zhejiang University（Science Edition）
基金
国家自然科学基金资助项目(11401128)
陕西省教育厅科研计划项目(14JK1535)
关键词
HS-代数
模糊演绎系统
落影理论
HS-algebra
fuzzy deduction system
falling shadow theory
