摘要
将软集概念及其相关运算运用到FI代数问题的研究。首先,提出了FI代数新型软MP理想的概念;其次利用软集的交(限制交)、且等运算,研究了FI代数的软MP理想的基本性质,并运用对偶软集的方法给出了FI代数软MP理想的等价刻画;最后讨论了FI代数的软MP理想的同态像和原像的性质。
We used the concept of soft sets and its related operations in FI-algebras problem research. Firstly, the concepts of new type of soft MP-ideals of FI-algebras are presented;Then by using the intersection （limited intersection） and the AND operation of soft sets, we studied the basic properties of soft MP-ideals of FI-algebras. Besides, by applying the dual soft sets, we also gave the equivalent characterizations of soft MP-ideals. Finally, the properties of the homomorphism image and inverse image of a new type of soft MP-ideals of FI-algebras are investigated.
出处
《模糊系统与数学》
北大核心
2017年第6期159-166,共8页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(61170121
11401259)
中央高校基本科研基金(JUSRR11407)
国家大学生创新训练项目(201310295028)
江南大学大学生创新训练项目(2014203)
关键词
软集
FI代数
软MP理想
软集运算
对偶软集
同态映射
Soft set
FI-algebras
Soft MP-ideals
Soft set operation
Dual soft set
Homomorphic mapping
