Soft BL-algebras based on fuzzy sets

被引:132
作者
Zhan, Jianming [1 ]
Jun, Young Bae [2 ,3 ]
机构
[1] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
基金
中国国家自然科学基金;
关键词
Soft BL-algebra; (is an element of; is an element of boolean OR q)-fuzzy (implicative; positive implicative; fantastic); filter; ((is an element of)over-bar; (is an element of)over-bar boolean OR (q)over-bar)-fuzzy (implicative; Fuzzy; (implicative; fantastic) filter with thresholds; (Implicative; fantastic) filteristic soft BL-algebra; FILTERS; ELEMENT; (IS-AN-ELEMENT-OF;
D O I
10.1016/j.camwa.2009.12.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By means of E-soft sets and q-soft sets, implicative and fantastic) filteristic soft that a soft set is an implicative filteristic implicative filteristic soft BL-algebra and some characterizations of (implicative, positive BL-algebras are investigated. Finally, we prove soft BL-algebra if and only if it is both a positive a fantastic filteristic soft BL-algebra. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2037 / 2046
页数:10
相关论文
共 30 条
[1]   Soft sets and soft groups [J].
Aktas, Haci ;
Cagman, Naim .
INFORMATION SCIENCES, 2007, 177 (13) :2726-2735
[2]  
[Anonymous], 2000, Non-classical mathematical logic and approximate reasoning
[3]   (is an element of,is an element of boolean OR q)-fuzzy subgroup [J].
Bhakat, SK ;
Das, P .
FUZZY SETS AND SYSTEMS, 1996, 80 (03) :359-368
[4]  
Chang C. C., 1958, Trans. Amer. Math. Soc., V88, P467, DOI [DOI 10.1090/S0002-9947-1958-0094302-9, 10.1090/S0002-9947-1958-0094302-9]
[5]   The parameterization reduction of soft sets and its applications [J].
Chen, DG ;
Tsang, ECC ;
Yeung, DS ;
Wang, XZ .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (5-6) :757-763
[6]   Boolean products of BL-algebras [J].
Di Nola, A ;
Georgescu, G ;
Leustean, L .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 251 (01) :106-131
[7]  
Hajek P., 1998, METAMATHEMATICS FUZZ
[8]   Soft BCK/BCI-algebras [J].
Jun, Young Bae .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) :1408-1413
[9]   Applications of soft sets in ideal theory of BCK/BCI-algebras [J].
Jun, Young Bae ;
Park, Chul Hwan .
INFORMATION SCIENCES, 2008, 178 (11) :2466-2475
[10]  
Leustean L., 2002, BRICS REPORT SERIES