智能系统学报2015，Vol.10Issue(6)：858-864,7.DOI:10.11992/tis.201507040
新型软域
New type of soft fields
摘要
Abstract
To develop a concept for a new type of soft field , we introduce a method that endows a parameter set with a field algebra structure that differs from that of traditional soft algebras .We then obtain the necessary and sufficient condition of a new type of soft field .By performing a soft-set intersection operation ,we prove that the intersection operation of two new soft-field types still represents a new type of soft field .In addition , we provide equivalent char-acterizations of this new type of soft field by applying dual soft sets .Finally, we induce homomorphic and inverse images of these soft sets by homomorphically mapping the fields and deriving the properties of the homomorphic and inverse images of this new type of soft field .Using this method to achieve this new type of soft field , we achieve more profound results when compared with ordinary soft fields and lay the foundation for future research into this new type of soft algebra .关键词
软集/新型软域/对偶软集/同态映射/软集运算Key words
soft set/new type of soft field/dual soft set/homomorphic mapping/soft set operation分类
计算机与自动化引用本文复制引用
张龙祥,廖祖华,王琪,王瑞云,刘维龙..新型软域[J].智能系统学报,2015,10(6):858-864,7.基金项目
国家自然科学基金资助项目( 61170121) （ 61170121）
国家大学生创新训练资助项目( 201310295028 ) （ 201310295028 ）
江南大学大学生创新训练资助项目(2014203). （2014203）
