Fuzzy T-type Filters in Pseudo-BCI Algebras

摘要：

　　A new notion of fuzzy T-type filter in pseudo-BCI algebra is introduced,some properties and equivalent conditions are presented.The relationship among fuzzy T-type filters,fuzzy q-filters and fuzzy associative filters are discussed,the following results are proved:(1)every fuzzy q-filter of a pseudo-BCI algebra X is a fuzzy T-type filter of X;(2)a fuzzy filter of a pseudo-BCI algebra X is a fuzzy associative filter of X if and only if it is both a fuzzy T-type filter and a fuzzy p-filter of X.For a fuzzy T-type filter to be a fuzzy q-filter,necessary and sufficient conditions are given.Moreover,an open problem on fuzzy T-type filter is proposed.

关键词： Pseudo-BCI algebra Fuzzy T-type filter Fuzzy q-filter Fuzzy associative filter Fuzzy p-filter

作者: Xiaohong Zhang Xiaoyan Mao

作者单位: College of Arts and Sciences Shanghai Maritime University Shanghai 201306,P.R.China College of Science and Technology Ningbo University Ningbo 315212,P.R.China

会议类型: 国际会议

会议名称: The 2014 10th International Conference on Natural Computation (ICNC 2014) and the 2014 11th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2014)(第十届自然计算和第十一届模糊系统与知识发现国际会议)

会议地点: 厦门

会议语种:英文

页码: 18-23

在线出版日期: 2014-08-19（万方平台首次上网日期，不代表论文的发表时间）