Fuzzy T-type Filters in Pseudo-BCI Algebras

被引：0
作者：
Zhang, Xiaohong [1 ]
Mao, Xiaoyan [2 ]
机构：
[1] Shanghai Maritime Univ, Coll Arts & Sci, Shanghai 201306, Peoples R China
[2] Ningbo Univ, Coll Sci & Technol, Ningbo 315212, Zhejiang, Peoples R China
来源：
2014 11TH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (FSKD) | 2014年
关键词：
Pseudo-BCI algebra; Fuzzy T-type filter; Fuzzy q-filter; Fuzzy associative filter; Fuzzy p-filter; IDEALS;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
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.
引用
收藏
页码：18 / 23
页数：6
相关论文
共 26 条
[1]  
[Anonymous], FUZZY LOGICS ALGEBRA
[2]   Solid weak BCC-algebras [J].
Dudek, Wieslaw A. .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 88 (14) :2915-2925
[3]  
Dymek G, 2012, DEMONSTR MATH, V45, P1
[4]  
Dymek G, 2014, J MULT-VALUED LOG S, V22, P167
[5]  
Georgescu G, 2001, DISCRETE MATH & THEO, P97
[6]  
Gilani A., 2007, SCI MAGNA, V3, P50
[7]  
Huang Y., 2006, BCI ALGEBRA
[8]  
Iorgulescu A, 2005, J MULT-VALUED LOG S, V11, P263
[9]   AN ALGEBRA RELATED WITH A PROPOSITIONAL CALCULUS [J].
ISEKI, K .
PROCEEDINGS OF THE JAPAN ACADEMY, 1966, 42 (01) :26-&
[10]  
Jun Y. B., 2005, J FUZZY MATH, V13, P149
123