基于蕴涵算子上的广义模糊完全正则子半群  

Generalized Fuzzy Completely Regular Subsemigroups Based on Implication Operators

作　　者：嵇敏[1] 廖祖华[1] 郝翠芸[1] 曹姝[1] 王秋菊[1] 潘玲[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《江南大学学报（自然科学版）》2011年第3期350-354,共5页Joural of Jiangnan University (Natural Science Edition)　

基　　金：江苏省教育科学"十一五"规划基金项目(D/2006/01/171);江苏省高等学校大学生实践创新训练计划项目(2009-598);江南大学创新团队发展计划项目(200902);江南大学大学生创新训练计划项目(2010-596)

摘　　要：给出了R-广义模糊完全正则子半群的定义,讨论了R-广义模糊完全正则子半群的交与并的相关性质及其同态象与同态原像的相关结果,并获得了在8个常见的蕴涵算子下R-广义模糊完全正则子半群的等价形式。The definition of R-generalized fuzzy completely regular subsemigroups is given in the paper.The relative properties of intersection and union of R-generalized fuzzy completely regular subsemigroups as well as relative results of its homomorphic image and homomorphic preimage are discussed.Besides,equivalent forms of R-generalized fuzzy completely regular subsemigroups based on eight ordinary implication operators are obtained.

关 键 词：R-广义模糊完全正则子半群 广义模糊完全正则子半群 蕴涵算子 同态象 同态原像 

分 类 号：O175.1[理学—数学]