浙江大学学报（理学版）2026，Vol.53Issue(3)：334-340,7.DOI:10.3785/1008-9497.25048
Fuzzy蕴涵代数的伪赋值
Pseudo-valuations on Fuzzy implication algebras
摘要
Abstract
In order to extend the theory of Fuzzy logic algebra,the concept of pseudo-valuations in Fuzzy implication algebras is introduced.Firstly,the properties of pseudo-valuations in Fuzzy implication algebras are explored,and their correspondence with filters is discussed.Secondly,a pseudo-metric space on Fuzzy implication algebras induced by pseudo-valuations is established,and it is further proved that the pseudo-metric space induced by valuations is indeed a metric space.Finally,the construction of pseudo-valuations in Fuzzy implication algebras is discussed,and the quotient structures of Fuzzy implication algebras are studied based on the congruence relations induced by pseudo-valuations.关键词
Fuzzy蕴涵代数/伪赋值/滤子/伪度量空间Key words
Fuzzy implication algebras/pseudo-valuations/filters/pseudo-metric space分类
数理科学引用本文复制引用
郭逢贵,周鑫,王旭..Fuzzy蕴涵代数的伪赋值[J].浙江大学学报（理学版）,2026,53(3):334-340,7.基金项目
伊犁师范大学提升学科综合实力专项(2022XKZY08) （2022XKZY08）
新疆维吾尔自治区研究生创新项目(XJ2025G249) （XJ2025G249）
伊犁师范大学高级别培育项目(YSPY2022011) （YSPY2022011）
国家自然科学基金项目(12471021). （12471021）
