西北师范大学学报（自然科学版）2026，Vol.62Issue(1)：100-107,114,9.DOI:10.16783/j.cnki.nwnuz.2026.01.012
基于三角模的不同类型的模糊隶属空间及其共轭
Different types of fuzzy membership spaces and their conjugations based on triangular norms
摘要
Abstract
Based on the definitions of axiomatic fuzzy sets and fuzzy membership spaces,the axiomatic fuzzy sets and fuzzy membership spaces are simplified by utilizing the special properties of the duality between triangular norms and triangular conorms.The concepts of φ-conjugate of fuzzy membership spaces are introduced,and some special types of fuzzy membership spaces are defined based on theories related to triangular norms.Finally,the properties and relations between some different types of fuzzy membership spaces generated by the same partition are given.关键词
公理化模糊集合/模糊隶属空间/三角模/φ-共轭Key words
axiomatic fuzzy set/fuzzy membership space/triangular norm/φ-conjugate分类
数理科学引用本文复制引用
易姝伶,潘小东..基于三角模的不同类型的模糊隶属空间及其共轭[J].西北师范大学学报（自然科学版）,2026,62(1):100-107,114,9.基金项目
国家自然科学基金资助项目(12301595,62106206) （12301595,62106206）
