模糊子群的T-正规模糊软群  

T-normal fuzzy soft groups of fuzzy subgroups

作　　者：李文婷[1] 辛小龙[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《西北大学学报（自然科学版）》2014年第3期355-359,共5页Journal of Northwest University（Natural Science Edition）

基　　金：西北大学研究生自主创新基金资助项目(YZZ12061);西北大学研究生高水平研究成果基金资助项目(YC13055)

摘　　要：在模糊子群中引入T-正规模糊软群的概念,并研究它们的相关性质。通过将模糊正规子群参数化,并与T范数结合,来研究模糊子群上的模糊软结构。定义了模糊子群的T-正规模糊软群及T-模糊软同余,研究了T-正规模糊软群在模糊软运算和模糊软同态下像的相关性质并建立了T-正规模糊软群与T-模糊软同余之间的联系。T-正规模糊软群是模糊软群和模糊正规子群的一般化,在一定程度上推广了模糊软集,并拓展了模糊代数结构。To introduce the concept of T-normal fuzzy soft groups of fuzzy subgroups, and study their related properties. To investigate fuzzy soft structures of fuzzy subgroups through the combination of parameterization of fuzzy normal subgroup and T norms. The notions of T-normal fuzzy soft groups and T-fuzzy soft congruences are presented. Several relevant properties of T-normal fuzzy soft groups under fuzzy soft operations and fuzzy soft homomorphisms are also discussed. T-normal fuzzy soft group, as a generalization of a fuzzy soft set and fuzzy normal subgroup, extends the contents of fuzzy soft sets and fuzzy algebric structures.

关 键 词：软集 模糊软集 模糊子群 T-正规模糊软群 T-模糊软同余 

分 类 号：O159[理学—数学]