一种新的直觉模糊群的同态  

Homomorphisms of a New Kind of Intuitive Fuzzy Groups

作　　者：李选海[1] 班喜光[1] 范传强[2] 

机构地区：[1]海军大连舰艇学院基础部,辽宁大连116018 [2]辽宁师范大学数学学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2005年第3期285-286,共2页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：为了进一步研究直觉模糊群之间的关系,在直觉模糊群之间引入了同态的概念,证明了子直觉模糊群的同态象仍为子直觉模糊群,子直觉模糊群(正规子直觉模糊群)的原象仍为子直觉模糊群(正规子直觉模糊群),并给出了直觉模糊群的同态基本定理,从而使直觉模糊群的内容得到了补充和完善.The concept of homomorphism of intuitive fuzzy groups is introduced in this paper in order to further study the relations between intuitive fuzzy groups. We have proved that the homomorphism image of a sub-intuitive fuzzy group is still a sub-intuitive fuzzy group,and the original image of a sub- intuitive fuzzy group （normal sub-intuitive fuzzy group）is still a subntuitive fuzzy group （normal sub-intuitive fuzzy group）. Finally, we also give the Fundamental Homomorphism Theorem of intuitive fuzzy groups.

关 键 词：子直觉模糊群 正规子直觉模糊群 商子直觉模糊群 同态 

分 类 号：O159[理学—数学]