OALib Journal期刊
ISSN: 2333-9721
费用:99美元
|
|
|
BCK-代数的不分明化理想
Keywords: BCK-代数,不分明化左(右)理想,不分明化理想,不分明化正定蕴涵理想,不分明化蕴涵理想
Abstract:
用一元谓词和连续格值逻辑的语义方法,引入了不分明化左(或右)可约理想、不分明化理想、不分明化蕴涵理想的概念,研究了不分明化可约理想、不分明化理想、不分明化正定蕴涵理想和不分明化蕴涵理想的某些特征,讨论了它们的性质和关系,研究了这些不分明化理想与其同态象、同态原象关系,获得了两个同种类型的不分明化理想之积仍为该种不分明化理想.
References
[1] | Rosser J B, Turqutte A R. Many-Valued Logics[M]. New York:North Holland,1952.
|
[2] | Ying M S. A new approach for fuzzy topology (I)[J]. Fuzzy Sets and Systems,1991(39):302-321.
|
[3] | Arai Y, Iseki k, Tanaka S. Characterizations of BCI,BCK-algebra[J]. Proc Jpn Acad,1966(42):105-107.
|
[4] | Zhang G J, Zhang C, Zou K Q. Fuzzifying BCK-algebras[J]. Fuzzy Systems and Mathematics,2001,15(2):33-36.
|
[5] | Iseki k, Tanaka S. An introduction to the theory of BCK-algebras[J]. Math Jpn,1978(23):1-26.
|
[6] | 彭家寅. 关于BCI-代数的闭Ω-模糊理想[J]. 四川师范大学学报:自然科学版,2008,31(6):688-692.
|
[7] | 王丰效. BCH-代数的拟结合理想和拟结合模糊理想[J]. 模糊系统与数学,2007,21(3):33-37.
|
[8] | Shen J H. Fuzzifying groups based on complete residuated lattice-valued logic[J]. Information Sciences,1993,75:165-186.
|
[9] | 张广济,邹开其,张成. 基于连续值逻辑上的不分明化拓扑线性空间[J]. 数学研究与评论,2006,26(1):77-88.
|
[10] | Iseki k, Tanaka S. Ideal theory of BCK-algebra[J]. Math Jpn,1976,21(2):361-366.
|
[11] | Iseki K. Some Properties of BCK-algebra[J]. Math Sem Notes,1974(2):193-201.
|
[12] | 李金龙. 偏序BCH-代数的一种自映射[J]. 河北大学学报:自然科学版,2006,26(3):242-245.
|
[13] | 彭家寅. BCH-代数的闭模糊理想[J]. 模糊系统与数学,2006,20(3):1-7.
|
[14] | Peng J Y. Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras[J]. Applied Mathematics:A J Chinese Universities,2008,B23(1):101-106.
|
[15] | 陈露,蒲义书. BCK-代数中子集的次极大理想[J]. 纯粹数学与应用数学,2007,23(3):361-365.
|
Full-Text
|
|
Contact Us
service@oalib.com QQ:3279437679 
WhatsApp +8615387084133
|
|